第 225 期·中文精讀

傑弗裡·沙因萊恩:神經形態計算與光電智慧

Jeffrey Shainline: Neuromorphic Computing and Optoelectronic Intelligence

物理學家設想用超導光電元件模擬大腦神經元,探討這條路線能否帶來低功耗的智慧計算。

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矽不會發光。

這句話聽起來像在開玩笑,其實是整個計算硬體史上最重要的一條物理判決。Jeffrey Shainline(傑弗裡·沙因萊恩)是 NIST(美國國家標準與技術研究院)的科學家,研究神經形態計算和光電智慧。他在 Lex Fridman 播客裡花了很長時間解釋這條判決的來龍去脈:人類如果能在矽晶片上做出一個像電晶體一樣簡單的光源,世界上不會有任何一顆處理器拒絕用光來通訊。可惜做不出來,卡住的地方在自然規律這一側。

這場對話從最基礎的電晶體講起,一路走到超導電路、單光子探測、大腦的分形結構,最後落在一個聽上去很科幻的問題上:宇宙的物理引數,是不是被某種演化過程篩選過,以利於技術的出現?

先把一臺計算機拆到最底層

Shainline 的講解從材料開始。矽是半導體,意思是在低溫下它沒有自由電荷,沒有能到處跑的電子。給一塊矽加上電壓,電子才開始移動,移動形成電流,電流可以被測量,資訊因此有了物理載體。

半導體的妙處在於可塑性。矽是晶體,原子按嚴格週期排列在格點上,沿著晶格向量從任意一個原子出發,都會走到下一個、再下一個,位置精確得近乎完美。你可以故意用磷原子替換掉某個格點上的矽原子,那一小片區域裡的自由電子數量就變了。左邊一個電極,右邊一個電極,中間是溝道,電壓加上去,電流就能流過去。再在上面加第三個電極,也就是柵極,柵極電壓一變,溝道電流跟著變。數位電路的做法是把左右兩端電壓固定,只調柵極,於是得到導通和截止,也就是一和零。

從這一個基本元件出發,數位電路的所有複雜度都長了出來。

尺度有多小?矽晶格間距大約是半個奈米,比人的頭髮絲細上六個數量級。現在最先進的工藝做到七奈米,一條導電通路上只有幾十個原子。上世紀六十年代,摩爾預測這種縮小至少還能持續二十年,結果持續了六十年,而且每次都是靠同一招:把特徵尺寸做小,器件就更快、更省電,晶片面積不變,算力持續上漲。

軟體工程師是被這份禮物喂大的。你不需要做任何事,只要等兩年,同一段程式就會跑得更快。功耗雖然在最近十幾年沒有繼續同步下降,但前面那段黃金歲月實在慷慨。

光刻是一整套製造奇蹟,也是一整套物理巧合

晶片不是一顆一顆做出來的,是在晶圓上印出來的。用光刻把同一套圖形重影印到晶圓上不同區域,一層疊一層,成熟工藝可能有上百層。現在的晶圓直徑三百毫米,跟一張披薩差不多大,上面能放一千顆處理器,最後用鋸切開。因為製造流程足夠順滑,單顆晶片才能賣得那麼便宜。

光刻的核心步驟是離子注入。先用光刻膠把某些區域蓋住,把其他區域暴露出來,注入不同種類的離子,改變區域性的電學性質。光刻膠有意思的地方在於,光子打上去會打斷聚合物鏈,被照過的區域能被水溶液洗掉,沒被照過的留下。聽起來不算太意外,但所有環節湊在一起,才形成了這麼一套又複雜又可量產的生態。

這裡還藏著一個更深的巧合。用來做光刻的光波長超過一百奈米,已經深入紫外,但最終圖案的精度能做到七奈米,甚至有人在談四奈米。Shainline 認為,這種縮放能力是整個物理世界給我們的饋贈,人類更多是發現它,還沒到發明它的程度。

為什麼最後贏的是矽

電晶體剛發明那幾年,有好幾種半導體都在被認真考慮。大多數人的直覺是鍺,因為鍺裡電子的運動方式有些漂亮的特性。也有人押注三五族化合物半導體,它們的物理性質看上去更出色。多個團隊分頭探索,這本來就是科學該有的樣子,廣撒網。

最後贏的是矽,而且贏得沒有懸念。贏的理由在於一組品質恰好湊在一起。

第一個是二氧化矽。電晶體需要一個極薄的絕緣層把柵極和溝道隔開,否則載流子會被直接吸進柵極,電晶體就不成立了。矽暴露在空氣裡會自然生長出一層氧化矽,這套天然的氧化物在整個元素週期表裡幾乎找不到對手。它的缺陷密度極低,能擋住很大的電壓而不漏電。

第二個是帶隙。半導體的帶隙決定了誘導電流流動需要多大的電壓。鍺大約是0.75電子伏,矽是1.1電子伏。差別看著不大,但問題在於熱激發。環境溫度本身會把一部分電子頂過帶隙,變成意外載流子,而這些載流子會讓計算出錯。載流子的數量隨帶隙指數衰減,多出這零點幾電子伏,就把矽推到了室溫環境的理想位置。

第三個是矽是單元素半導體。化合物半導體需要兩種原子按規律交替排列,原子一旦坐錯位置,效能就下降。矽只需要一種原子,缺陷機會少得多。

一堆物理性質剛好湊成一個可以量產的組合,功勞不在某一個人。(Jeffrey Shainline)

順帶說一句,我們今天的所有數字計算都建立在一個假設上:錯誤極少,幾乎可以忽略。而大腦的假設完全相反,它預設到處都在出錯,還必須在出錯的前提下保持魯棒。

大腦的第一性原理是一條冪律

從這兒開始,Shainline 的講法變得像數學。

新皮層裡負責高階推理的神經元,每一個都向外伸幾千個連線。這樣高度互聯的結構帶來的直接好處是,網路裡任何一處資訊可以用極快的速度傳到任何另一處。

更妙的地方在連線機率的分佈。你在皮層裡畫一個小方框,方框裡的神經元大部分連線落在方框內部,這叫聚類。但也有一小部分連線跑到方框外面。你把方框放大一倍,統計規律完全一樣。這就是尺度不變。

如果連線機率隨距離呈指數衰減,大腦就會是一個非常局域化的系統,稍微遠一點就幾乎不連線。實際觀察到的是冪律,連線機率隨半徑下降,下降得卻比指數慢得多,跟萬有引力和電磁力在空間裡的衰減方式是一個形狀。

時間維度上是同一回事。如果神經元都以同一個頻率振盪,頻率分佈就會在某處形成一個尖峰。實際觀察到的是,振盪頻率的分佈也是冪律,沒有特徵尺度。人的思維從幾十毫秒一直延伸到一輩子的跨度,你還能想起小時候發生的事。再往外推,人類文明整體也被看成某種跨有機體的思維。

捕捉這些動力學,在我看來就是神經形態計算的目標。(Jeffrey Shainline)

記憶不只是改權重

Hopfield 網路是其中一種記憶模型:記憶儲存在神經元之間的活動模式裡,某個輸入如果和過去的輸入足夠相似,網路就會收斂到同一片吸引子。你看到一張臉,某個網路模式被啟用,因為上次看到這張臉時你在電影院,那是個明星。

但要能把這種模式刻進去,你得有改突觸連線強度的能力。突觸權重更新是神經科學和神經形態計算裡的重頭戲。Shainline 把監督和無監督做了很物理的區分:監督意味著外部使用者手裡有一個旋鈕,能調每一個權重;無監督意味著權重自己變,沒有任何一根外部的線接進那些突觸,網路靠器件本身的物理性質重新配置自己。

除了權重,還有幾層機制。

  • 短期突觸可塑性。同一個突觸連續發第二、第三、第四次脈衝時,傳遞效率會變弱。這是一種學習:我正在被過強的刺激轟炸,得先把它調低。
  • 元可塑性。它改的是權重變化的速率,權重本身不動。走進一間教室準備學習,大腦釋放多巴胺之類的神經調質,把可塑性速率調高,你變得更容易接受新資訊,也更容易覆蓋舊資訊。
  • 穩態可塑性。某個神經元發得太猛,它會自己把閾值調高,把自己拉回有用的動態區間。深度網路裡也有類似的操作,不只改權重,還可以移動神經元的閾值。

至於長出新連線,在成年大腦裡算不上主要機制。你此刻聽我說話,學到東西,並沒有長出新的軸突連到新的突觸上,靠的是已有連線上的可塑性。用權重更新來近似,至少是夠用的。

皮層和海馬體是兩種完全不同的網路

Shainline 用一張卡通圖解釋大腦的架構。皮層是一張外層的薄片,展開來放在桌上大概是一張披薩大小,裡面有一百億個神經元,連線按冪律分佈。海馬體是完全另一個模組,負責你身處何時何地的判斷,它的連線幾乎是隨機的,幾乎不隨距離衰減。海馬體只有一億個神經元,因為規模小,才能維持這種高密度的隨機連線。

兩個模組一直互相說話,牽線的是丘腦。三者合起來叫丘腦皮層複合體。Shainline 認為,如果要復現大腦活動的型別,就必須把這種分模組、分工、再整合的架構做進去,只做一堆神經元是不夠的。

超導:電流可以永遠流下去

半導體裡,電子撞上晶格缺陷或者另一個電子就會失去動量,所以必須一直加電壓才能維持電流。超導體裡發生的事完全不同:電流一旦開始流動,就會永遠流下去,沒有耗散。

條件是低溫。Shainline 說的主要是常規超導體,臨界溫度大約十開爾文,實際工作在四開爾文上下。在這個溫度下,原子的熱振動和電子之間的碰撞都低到某個程度以下,電子會進入一種特殊狀態,有時被稱為宏觀量子態。一整塊鈮冷到臨界溫度以下,裡面參與超導的電子會處於同一個相干的量子態,波函式同時描述所有這些粒子,並且延伸到整塊材料的宏觀尺寸。

為什麼電流不會被打斷?電子是全同粒子,你沒法分辨它們。某個電子撞上缺陷本該被散射,它可以被另一個電子替代,整個量子態並沒有被那個缺陷散射。於是電流無損地流下去,這叫超電流。

約瑟夫森結,和往環路里彈一份磁通量子

超導電路里最通用的元件是約瑟夫森結,做法是兩段超導體中間夾一層很薄的絕緣體或普通金屬。超導波函式會穿過這層勢壘,形成隧穿。

它和電晶體有某種類比關係。電晶體是加了電壓就改變左右電流,約瑟夫森結是電路工程師搭複雜結構的起手元件。但它和電晶體有一個關鍵差別,這個差別決定了它的命運。

超導體能承載無損電流,但這個能力有上限,超過臨界電流就變回普通電阻材料。約瑟夫森結也一樣。把結偏置到臨界電流之上,它會往旁邊的超導環路里注入一份量子化的、離散的電流。行話說就是彈一個磁通量子進環路。

速度很快。這些電流脈衝的傳播速度能到光速的三分之一左右,開關動作在幾十皮秒內完成,器件可以工作在幾百吉赫茲。作為對比,今天的處理器大多在一到三吉赫茲。玩超頻的人在四吉赫茲就已經很興奮了,幾百吉赫茲是另一個量級。

那為什麼不直接用它替換矽做數字計算?Shainline 的答案很坦率:單項指標都夠好,整體算下來不划算。電晶體可以一代代縮小,縮到七奈米、三奈米,功能照樣成立。約瑟夫森結做不到。它的工作依賴結和環路之間的相互作用,環路的尺寸受磁場與超導材料相互作用的基本物理限制,再怎麼改進工藝也縮不下去。上世紀七十年代 IBM 大力推過超導數字計算,九十年代 Likharev 和 Semenov 提出過一整套基於約瑟夫森結的數位電路族,能比矽快上百倍,但這些優勢始終沒有轉化為系統層面的勝出。

環路神經元長什麼樣

既然超導不適合搶數字計算的飯碗,那它適合幹什麼?Shainline 的答案是要換一個應用空間,換成神經形態。

在這個硬體裡,一個神經元可以理解成一堆以約瑟夫森結為基礎的電路。從突觸開始看:突觸收到上游神經元發來的光子,一個超導單光子探測器把它轉成電訊號,往一個超導環路里加電流。加多少,由突觸權重決定,是模擬量,精度能做到八到十位元。

電流加進環路後會指數衰減,衰減的時間常數由串進去的電阻決定。這就是突觸後訊號。它隨後進入樹突結構做處理。有意思的是,突觸、樹突、胞體、各種可塑性機制,用的都是同一塊積木電路,只是幾個引數不同。這塊積木在超導電路里很基礎,就是一個直流超導量子干涉儀,兩個約瑟夫森結組成,屬於最家常的元件。

胞體接收所有電輸入,累積起來,當它超過閾值,也就是把某個約瑟夫森結驅動到臨界電流之上,就產出一束電流脈衝。這束脈衝經過電壓放大,去驅動一個光發射器,把電訊號變成光。這是整個神經元裡唯一一段半導體器件。光隨後扇出到波導網路,抵達下游所有突觸,那些突觸再各自重複一遍上面的過程。

記憶就儲存在環路里迴圈的電流上。耦合透過變壓器式的環路耦合完成,突觸裡迴圈的電流會在胞體裡的接收環路中感應出電流。整個計算都發生在這些磁通儲存環路里,Shainline 乾脆把它們叫環路神經元,因為比"超導光電子神經元"順口。

電子管計算,光子管通訊

計算是什麼?Shainline 給的定義很樸素:接收一些資訊,對資訊做操作,產出新的、更有用的資訊。給你一張圖,圖裡有把鑰匙,輸入是整張圖,輸出是鑰匙的座標。資訊總量減少了,有用的那部分被抓了出來。

通訊是什麼?把資訊從一個地方搬到另一個地方,資訊本身不變。Landauer 說過資訊是物理的,既然是物理的,它就待在某處,你想讓別處的元件用它,就得搬過去。

於是就有了那句著名的分工:電子擅長計算,光子擅長通訊。

電子帶電,相互作用強。一堆電子堆在一處會互相排斥,你想推它們走,改一個柵極電壓就行。電子還有質量,可以被空間局域化,所以你可以用它的位置表示資訊,還有旋鈕去改變它的位置。計算需要改變資訊,電子正合適。

光子彼此不相互作用。低光強下,一個通道里多塞一個光子,不會干擾已經在那裡的光子,它們直接穿過彼此。這對通訊是巨大優點,光子可以輕鬆分流、扇出、並行傳輸。對計算卻是巨大麻煩,你想讓一束光改變另一束光攜帶的資訊,做不到。

距離上的差別同樣致命。用電線傳資訊,你得先把電線充電,把電壓抬上去,電線有電容,電容和線長成正比。線的能量消耗隨電容和電壓平方增長。你跟我兩個人之間拉一根線還湊合,但一個神經元要同時發給一萬個下游連線,一萬根線的寄生電容疊加起來,功耗和時間都會爆炸。而一萬這個數字不是隨便挑的,它就是大腦裡一個神經元大概的連線數。

換成波導就完全不同。你把光子注入一條波導,不管這條波導多長,不管你臨時加了多少個分支,都不需要抬升什麼電壓,沒有那種電容懲罰。多一個連線,就多分一點光過去而已。

怎麼接住一個光子

光子發出去,對面得接得住。這是 Shainline 團隊工作的一大重心,他的組長 Sae Woo Nam(南世宇)整個職業生涯都圍繞超導單光子探測器。

原理不復雜。一條超導支路並聯一個電阻支路,再串一個測電流的裝置。電流全部走超導那一路。一個光子打中,超導的宏觀量子態被破壞,那條支路變成電阻,設計上讓它遠大於另一路的電阻,於是電流改道,測量端看到一個脈衝。幾納秒後能量散掉,超導恢復,電流回到原來的路徑。

這套探測器帶來一個關鍵的連鎖反應。半導體探測器要接住一束光,需要幾千個光子。超導探測器只需要一個光子。需求降低了三個數量級。

於是對光源的要求也鬆了。化合物半導體光源效率高,但很難和矽工藝共融,晶格不匹配,生長需要高溫,會把已經做好的電晶體全毀掉。可如果對面要的只是一個能吐出幾千個光子的及格光源,事情就容易多了。矽在四開爾文這個低溫下也未必不能當光源。

如果矽晶片上有一個像電晶體一樣簡單的光源,世界上不會有任何一顆處理器不用光通訊。(Jeffrey Shainline)

順帶一提,通訊在這裡被設計成完全二值的。突觸不管收到一個光子還是五個光子,反應都一樣:事件發生了。這是有意的,通訊不應該改變資訊本身。不過另一個方向的需求也存在,過渡邊緣感測器那種超導器件能根據脈衝幅度數出光子數,這在把資訊編碼進光子數的光量子計算裡很有用。

為什麼必須往第三維堆

大腦在空間上緊湊得不可思議。硬體神經元做不到那麼緊湊,無論是矽電晶體、超導電路還是光通訊。一個有相當複雜度的硬體神經元,尺寸大概在一百微米見方,很難再小。波導的尺寸被光的波長卡住,一微米左右。作為對比,大腦裡的軸突直徑只有十奈米。

所以要在晶片上堆出和大腦可比的數量級,必須用第三維。晶圓上要疊多層有源器件(做計算的超導電路)和無源器件(走光的波導),五六層,最好到十層。這還只到百萬神經元的級別。要到人類大腦的一百億神經元,得把整片整片晶圓疊起來,晶圓之間用光纖互連,填滿一張桌子那麼大的空間。

而且這個堆疊必須處處分形,從單層到晶圓到整機,每一級的連線都保持冪律分佈。不然資訊沒法從一個點高效地覆蓋整個網路。

四開爾文的門檻

很多人聽到四開爾文就起身走人。Shainline 覺得這種反應有點地球中心主義、物種中心主義。我們活在三百開爾文裡,所以希望技術也在那兒工作,可以理解。

但賬要算全。宇宙微波背景是2.7開爾文,我們比深空還熱。整個量子計算行業通常工作在五十到一百毫開爾文,比四開爾文還要冷一百倍,幾乎所有人都相信量子計算會改變世界,沒人因為冷就撤資。那為什麼四開爾文就成了原罪?

真正的差別在應用場景。手機、筆記本、車載裝置,超導確實進不去,一個需要揹著啤酒桶大小製冷裝置才能用的手機毫無意義。但如果是資料中心級別的集中式系統,製冷本來就是工程任務的一部分,田納西那幾臺超算把整個倉庫那麼大的空間填滿,本來就在為散熱花大錢。在這個尺度上,多降到四開爾文,算不上顯然的出局條件。

Shainline 甚至把視角推到太陽系。如果只是要反射走陽光,小行星帶上隨便找個地方就有巨大的先天優勢。一個更高階的文明把它的認知系統放在遠離地表的低溫暗處,那裡對超導系統天然友好,而地球這邊三百開爾文的環境反而是將就。

如果四開爾文能讓你做出比任何室溫技術高好幾個數量級的認知,你會去做。物理極限不在乎你住得舒不舒服。(Jeffrey Shainline)

用一條微分方程模擬百萬神經元

設計這種電路,一開始用傳統路子。單個突觸不復雜,幾個約瑟夫森結,直接扔進 SPICE 解微分方程就行。問題是往上疊加就很貴。約瑟夫森結要求皮秒級時間步,節點一多,需要同時解的方程數量就失控。

疫情那陣子,團隊把注意力轉向適合在家做的計算建模。他們做的事情是抽象化:不去顯式求解電路方程,而是給它找等效模型。好訊息是,所有元件都基於同一塊積木,突觸、樹突、胞體、可塑性都能簡化成漏積分器,一條微分方程。

時間網格也可以粗化。合起來速度提升大約一千到一萬倍,目標直接拉到百萬神經元。之前只能模擬幾十個、一百個。

Shainline 對這件事的興奮點在於複雜性的來源。簡單積木,大量重複,用不同引數和連線方式組合,湧現出事先難以預測的行為。這套平臺既是神經科學的試驗場,也能連到其他物理問題上,臨界現象、伊辛模型之類。

機器學習能從這套硬體拿到什麼

Shainline 對短期商業回報沒有興趣,也不打算把這事做成生意。想做快錢就去做深度學習,用矽。他關心的是另一個問題:一個物理系統的極限在哪。

他很謹慎,不做過高承諾。在他看來,機器學習有個根本限制,它要求你清楚知道自己輸進去的是什麼,以及目標函式是什麼。而智慧的定義更像是處理那些你既不知道輸入、也不知道目標的問題。

我不太清楚我自己在這世上想做成什麼。智慧大概就是處理這類問題的能力。(Jeffrey Shainline)

不過團隊裡確實有人在推進機器學習方向。NIST 的 Mike Schneider 在做超導影象分類器,目標是一個九畫素、三類別的分類任務,他估計分類時間可能在一百皮秒量級。這個演示的意義在於證明這條路在極小尺度上跑得通。問題在於製冷開銷,約瑟夫森結電路本身比電晶體省電好幾個數量級,但維持低溫的固定成本很高,必須在大規模上才能攤薄。結論是它不會進手機,但可能進資料中心。

說到資料中心就繞不開自動駕駛那種算力需求。特斯拉的 DOJO 是應用驅動的大規模訓練系統,公司被一個具體問題釘住,反而更容易做出東西。流程是訓練、部署到幾百萬輛車上、採集邊緣案例、再重新訓練,一個巨大的迴圈。這種集中式的、需要海量資料整合的認知樞紐,正好是超導光電子大規模網路可能有優勢的場景。當然不是明天,五年十年也未必。

這裡還有一條 NIST 關心的線:可信 AI。Elham Tabassi 在主持一個比 Shainline 的小專案大得多的 AI 計劃,核心是可信度。把神經網路放進每一輛車上,風險很高,你得能證明它可信。而這裡存在一個根本張力:電腦科學界希望演算法可證明正確,可生物系統什麼都證明不了,它靠的是對不完美的魯棒性。圖靈那句話說得最清楚,我可以給你一個智慧系統,也可以給你一個無瑕的系統,但沒法同時給你兩個。

物理和工程,誰給誰鋪路

Lex 丟擲了那個經典的挑事問題。Shainline 沒上鉤,但回答很乾脆:兩者缺一不可。

物理通常在早期關鍵。半導體物理沒有先被搞明白,電晶體根本不會出現,你連球場都上不了。一旦原理被證明可行,接管舞臺的就是工程。為什麼今天的手機比過去的超級計算機還強,全是工程。

不過分界線沒那麼幹淨。矽的材料性質、光刻技術、X射線晶體學、聚合物化學、材料科學,你說不清該歸到哪一類。是一場漫長的雙人舞。

宇宙在篩選技術嗎

對話的後半段,Shainline 把話題拉到了他自己寫的一篇論文上:《宇宙學演化會篩選技術嗎?》。

先要介紹背景。物理學家一直在追問精細調節問題。描述宇宙的方程裡,除了方程的形式,還有一堆引數,它們決定各種耦合的強度,比如精細結構常數決定電磁相互作用有多強。這些引數看起來被調得非常準,稍微動一動,宇宙可能在納秒內出現又消失。有人評價說,這像一場精心安排的騙局。主流的回應是弱人擇原理:我們只能觀察到一個適合我們存在的宇宙,這是選擇偏差,不必大驚小怪。

但 Shainline 覺得這個回答解釋不了另一件事。為什麼宇宙給了我們超導?為什麼給了我們矽,還順帶附贈一種近乎完美的天然氧化物,讓電晶體可以不用費太大勁就造出來?這些沒法用人擇原理打發。

他借的是 Lee Smolin(李·斯莫林)的宇宙自然選擇。基礎是 Guth 和 Farhi 在1986年提出的一個觀察:大爆炸和黑洞在數學上難以區分,一個宇宙裡的黑洞,可以是另一個宇宙的大爆炸。Smolin 在此基礎上加了一個關鍵點:黑洞形成屬於量子引力過程,描述它的引數會發生量子漲落帶來的微小突變。後代宇宙的引數和父輩接近,但不完全相同。變異和選擇就這麼出現了。

Smolin 估計我們的宇宙可以追溯到大約兩億代演化。選擇壓力是恆星數量,因為恆星會產生黑洞,黑洞會產生後代。所以宇宙的引數應該被最佳化來最大化繁殖力。

Shainline 的補充是:恆星造黑洞非常浪費。恆星靠引力慢慢擠,一顆只有十公斤的物質,如果被壓縮到極小的體積,就足以形成一個很可能膨脹成後代宇宙的黑洞。這來自量子場論學家的計算,他自認只是轉述者。

粗算一下。一顆直徑一公里的普通小行星,拆成十公斤一塊,每一塊造一個宇宙,那就是至少一萬億個黑洞,比銀河系誕生以來所有核心坍縮超新星產生的黑洞還多三個數量級。而這只是一顆小行星。如果技術文明能夠擴張到小行星帶,它產出後代宇宙的速率就會遠超恆星。

如果真是這樣,那我們的引數就可能在兩種壓力之間被拉扯著篩選:既要讓恆星穩定、壽命夠長,也要讓水有合適的性質,讓宜居帶有岩石行星,讓矽有那種氧化物,讓技術可行。預測就是我們坐在一個各方角力的中間點上,往任何方向挪太多,某一個環節就斷掉。

我們在宇宙裡排第幾

順著這個思路,Shainline 明顯傾向智慧文明是稀有的。他引 Max Tegmark,也引最近天體生物學裡的一些工作:一個星系裡出現一個智慧物種不算小機率,但下一個太陽系就有一個,幾乎不可能。

時間視窗也很關鍵。星系整個生命週期裡可能有過一個到上百個智慧文明,但它們未必同時存在。

地球的生命史給了參照。生命出現得很快,幾十億年前就有了微生物。然後有兩百五十億年基本只有單細胞在演,光合作用產氧之後,行星慢慢氧化,直到能支撐複雜生命。寒武紀大爆發在五到六億年前,那是一個很稀有的門檻,幾乎所有現存的體型設計都誕生在那一小段視窗裡。人類可能是又一道更窄的門。

Lex 在這裡給了一個很美的反轉:如果整個宇宙演化是一場篩選技術的過程,那人類不可能是這個過程中最驚人的產物。大部分宇宙挺無聊的,幾塊石頭在飛,幾隻猿猴在一個奇怪的星球上錄播客。宇宙應該有更高效、更精彩的表達形態。

Shainline 接住了這個球,但他沒有把它推向虛無。他看到的是層級。大爆炸初期是等離子體的一團混亂,第一代恆星需要一大堆演化過程才形成,我們需要第三代恆星才有足夠的金屬。地球生命是這條層級上的一層,而下一層可能正在生長,也許會長出比我們強得多的認知系統,住在太陽能照到的遠地之外,用單光子探測器從射電一直看到伽馬射線,用巨大的集光鏡注視整個宇宙。這樣的系統大概也會找點樂子,說不定會創造並維護一個像地球一樣的東西來觀察。

對話最後落到一句互相致意的話上。Shainline 說 Lex 能在知識棧的所有層級上工作,這是一種分形式的智力。兩人都承認,這種跨層級的連線,才是這場對話最有價值的部分。

如果你想繼續往下走

  • 先讀 Shainline 那篇《Optoelectronic Intelligence》,它是理解整套思路的入口,把光通訊、超導計算和神經形態架構綁在一起講。
  • 關注 NIST 博爾德團隊的工作,Shainline、Sae Woo Nam、Sonia Buckley、Jeff Chiles、Adam McCaughan、Bryce Primavera 這些人都在同一張網上,論文會互相引用。
  • 別把"四開爾文太冷"當成一句話判決。先算總賬:製冷開銷、系統規模、單位算力的總功耗,再和室溫方案比較。
  • 想理解大腦,去讀神經科學文獻。Shainline 自己的說法是,外行想象中的"我們根本不懂大腦",和文獻裡呈現的數學嚴謹程度之間,差距大得嚇人。
  • 看硬體效能時,區分單一指標和系統指標。約瑟夫森結的開關速度比電晶體快上百倍,但數字計算機是一門系統生意,製造、封裝、縮小尺寸、散熱全都算數。
  • 對"宇宙裡有多少智慧文明"這個問題,保持時間視窗的自覺。一個星系裡有過多少文明,和此刻同時存在多少文明,是兩個完全不同的數。
  • 想追宇宙自然選擇這條線,讀 Lee Smolin 上世紀八十年代末那篇《Did the Universe Evolve?》,再讀 Shainline 那篇關於技術篩選的論文,兩篇放在一起看,邏輯鏈才完整。
文稿來自公開 Kaggle 資料集(rajneesh231/lex-fridman-podcast-transcript),為早期自動轉錄存檔,可能存在識別錯誤。
The following is a conversation with Jeff Schoenlein, a scientist at NIST interested in optoelectronic intelligence. We have a deep technical dive into computing hardware that will make Jim Keller proud. I urge you to hop onto this rollercoaster ride through neuromorphic computing and superconducting electronics and hold on for dear life. Jeff is a great communicator of technical information and so it was truly a pleasure to talk to him about some physics and engineering. To support this podcast, please check out our sponsors in the description. This is the Lex Friedman Podcast and here is my conversation with Jeff Schoenlein. I got a chance to read a fascinating paper you authored called Optoelectronic Intelligence. So maybe we can start by talking about this paper and start with the basic questions. What is optoelectronic intelligence? Yeah, so in that paper, the concept I was trying to describe is sort of an architecture for building brain inspired computing that leverages light for communication in conjunction with electronic circuits for computation. In that particular paper, a lot of the work we're doing right now in our project at NIST is focused on superconducting electronics for computation. I won't go into why that is, but that might make a little more sense in context if we first describe what that is in contrast to, which is semiconducting electronics. So is it worth taking a couple minutes to describe semiconducting electronics? It might even be worthwhile to step back and talk about electricity and circuits and how circuits work before we talk about superconductivity. Right, okay. How does a computer work, Jeff? Well, I won't go into everything that makes a computer work, but let's talk about the basic building blocks, a transistor, and even more basic than that, a semiconductor material, silicon, say. So in silicon, silicon is a semiconductor, and what that means is at low temperature, there are no free charges, no free electrons that can move around. So when you talk about electricity, you're talking about predominantly electrons moving to establish electrical currents, and they move under the influence of voltages. So you apply voltages, electrons move around, those can be measured as currents, and you can represent information in that way. So semiconductors are special in the sense that they are really malleable. So if you have a semiconductor material, you can change the number of free electrons that can move around by putting different elements, different atoms in lattice sites. So what is a lattice site? Well, a semiconductor is a crystal, which means all the atoms that comprise the material are at exact locations that are perfectly periodic in space. So if you start at any one atom and you go along what are called the lattice vectors, you get to another atom and another atom and another atom, and for high quality devices, it's important that it's a perfect crystal with very few defects, but you can intentionally replace a silicon atom with say a phosphorus atom, and then you can change the number of free electrons that are in a region of space that has that excess of what are called dopants. So picture a device that has a left terminal and a right terminal, and if you apply a voltage between those two, you can cause electrical current to flow between them. Now we add a third terminal up on top there, and depending on the voltage between the left and right terminal and that third voltage, you can change that current. So what's commonly done in digital electronic circuits is to leave a fixed voltage from left to right, and then change that voltage that's applied at what's called the gate, the gate of the transistor. So what you do is you make it to where there's an excess of electrons on the left, excess of electrons on the right, and very few electrons in the middle, and you do this by changing the concentration of different dopants in the lattice spatially. And then when you apply a voltage to that gate, you can either cause current to flow or turn it off, and so that's sort of your zero and one. If you apply voltage, current can flow, that current is representing a digital one, and from that, from that basic element, you can build up all the complexity of digital electronic circuits that have really had a profound influence on our society. Now you're talking about electrons. Can you give a sense of what scale we're talking about when we're talking about in silicon being able to mass manufacture these kinds of gates? Yeah, so scale in a number of different senses. Well, at the scale of the silicon lattice, the distance between two atoms there is half a nanometer. So people often like to compare these things to the width of a human hair. I think it's some six orders of magnitude smaller than the width of a human hair, something on that order. So remarkably small, we're talking about individual atoms here, and electrons are of that length scale when they're in that environment. But there's another sense that scale matters in digital electronics. This is perhaps the more important sense, although they're related. Scale refers to a number of things. It refers to the size of that transistor. So for example, I said you have a left contact, a right contact, and some space between them where the gate electrode sits. That's called the channel width or the channel length. And what has enabled what we think of as Moore's law or the continued increased performance in silicon microelectronic circuits is the ability to make that size, that feature size, ever smaller, ever smaller at a really remarkable pace. I mean, that feature size has decreased consistently every couple of years since the 1960s. And that was what Moore predicted in the 1960s. He thought it would continue for at least two more decades, and it's been much longer than that. And so that is why we've been able to fit ever more devices, ever more transistors, ever more computational power on essentially the same size of chip. So a user sits back and does essentially nothing. You're running the same computer program, but those devices are getting smaller, so they get faster, they get more energy efficient, and all of our computing performance just continues to improve. And we don't have to think too hard about what we're doing as, say, a software designer or something like that. I absolutely don't mean to say that there's no innovation in software or the user side of things, of course there is. But from the hardware perspective, we just have been given this gift of continued performance improvement through this scaling that is ever smaller feature sizes with very similar, say, power consumption. That power consumption has not continued to scale in the most recent decades, but nevertheless, we had a really good run there for a while. And now we're down to gates that are seven nanometers, which is state of the art right now. Maybe GlobalFoundries is trying to push it even lower than that. I can't keep up with where the predictions are that it's gonna end. But seven nanometer transistor has just a few tens of atoms along the length of the conduction pathway. So a naive semiconductor device physicist would think you can't go much further than that without some kind of revolution in the way we think about the physics of our devices. Is there something to be said about the mass manufacture of these devices? Right, right, so that's another thing. So how have we been able to make those transistors smaller and smaller? Well, companies like Intel, GlobalFoundries, they invest a lot of money in the lithography. So how are these chips actually made? Well, one of the most important steps is this what's called ion implantation. So you start with sort of a pristine silicon crystal and then using photolithography, which is a technique where you can pattern different shapes using light, you can define which regions of space you're going to implant with different species of ions that are going to change the local electrical properties right there. So by using ever shorter wavelengths of light and different kinds of optical techniques and different kinds of lithographic techniques, things that go far beyond my knowledge base, you can just simply shrink that feature size down. And you say you're at seven nanometers. Well, the wavelength of light that's being used is over a hundred nanometers. That's already deep in the UV. So how are those minute features patterned? Well, there's an extraordinary amount of innovation that has gone into that, but nevertheless, it stayed very consistent in this ever shrinking feature size. And now the question is, can you make it smaller? And even if you do, do you still continue to get performance improvements? But that's another kind of scaling where these companies have been able to... So, okay, you picture a chip that has a processor on it. Well, that chip is not made as a chip. It's made on a wafer. And using photolithography, you basically print the same pattern on different dyes all across the wafer, multiple layers, tens, probably a hundred some layers in a mature foundry process. And you do this on ever bigger wafers too. That's another aspect of scaling that's occurred in the last several decades. So now you have this 300 millimeter wafer. It's like as big as a pizza and it has maybe a thousand processors on it. And then you dice that up using a saw. And now you can sell these things so cheap because the manufacturing process was so streamlined. I think a technology as revolutionary as silicon microelectronics has to have that kind of manufacturing scalability, which I will just emphasize, I believe is enabled by physics. It's not, I mean, of course there's human ingenuity that goes into it, but at least from my side where I sit, it sure looks like the physics of our universe allows us to produce that. And we've discovered how more so than we've invented it, although of course we have invented it, humans have invented it, but it's almost as if it was there waiting for us to discover it. You mean the entirety of it or are you specifically talking about the techniques of photolithography, like the optics involved? I mean, the entirety of the scaling down to the seven nanometers, you're able to have electrons not interfere with each other in such a way that you could still have gates. Like that's enabled. To achieve that scale, spatial and temporal, it seems to be very special and is enabled by the physics of our world. All of the things you just said. So starting with the silicon material itself, silicon is a unique semiconductor. It has essentially ideal properties for making a specific kind of transistor that's extraordinarily useful. So I mentioned that silicon has, well, when you make a transistor, you have this gate contact that sits on top of the conduction channel. And depending on the voltage you apply there, you pull more carriers into the conduction channel or push them away so it becomes more or less conductive. In order to have that work without just sucking those carriers right into that contact, you need a very thin insulator. And part of scaling has been to gradually decrease the thickness of that gate insulator so that you can use a roughly similar voltage and still have the same current voltage characteristics. So the material that's used to do that, or I should say was initially used to do that was a silicon dioxide, which just naturally grows on the silicon surface. So you expose silicon to the atmosphere that we breathe and well, if you're manufacturing, you're gonna purify these gases, but nevertheless, that what's called a native oxide will grow there. There are essentially no other materials on the entire periodic table that have as good of a gate insulator as that silicon dioxide. And that has to do with nothing but the physics of the interaction between silicon and oxygen. And if it wasn't that way, transistors could not perform in nearly the degree of capability that they have. And that has to do with the way that the oxide grows, the reduced density of defects there, it's insulation, meaning essentially it's energy gaps. You can apply a very large voltage there without having current leak through it. So that's physics right there. There are other things too. Silicon is a semiconductor in an elemental sense. You only need silicon atoms. A lot of other semiconductors, you need two different kinds of atoms, like a compound from group three and a compound from group five. That opens you up to lots of defects that can occur where one atom's not sitting quite at the lattice site, it is and it's switched with another one that degrades performance. But then also on the side that you mentioned with the manufacturing, we have access to light sources that can produce these very short wavelengths of light. How does photolithography occur? Well, you actually put this polymer on top of your wafer and you expose it to light, and then you use a aqueous chemical processing to dissolve away the regions that were exposed to light and leave the regions that were not. And we are blessed with these polymers that have the right property where they can cause scission events where the polymer splits where a photon hits. I mean, maybe that's not too surprising, but I don't know, it all comes together to have this really complex, manufacturable ecosystem where very sophisticated technologies can be devised and it works quite well. And amazingly, like you said, with a wavelength at like 100 nanometers or something like that, you're still able to achieve on this polymer precision of whatever we said, seven nanometers. I think I've heard like four nanometers being talked about, something like that. If we could just pause on this and we'll return to superconductivity, but in this whole journey from a history perspective, what do you think is the most beautiful at the intersection of engineering and physics to you in this whole process that we talked about with silicon and photolithography, things that people were able to achieve in order to push Moore's law forward? Is it the early days, the invention of the transistor itself? Is it some particular cool little thing that maybe not many people know about? Like, what do you think is most beautiful in this whole process, journey? The most beautiful is a little difficult to answer. Let me try and sidestep it a little bit and just say what strikes me about looking at the history of silicon microelectronics is that, so when quantum mechanics was developed, people quickly began applying it to semiconductors and it was broadly understood that these are fascinating systems and people cared about them for their basic physics, but also their utility as devices. And then the transistor was invented in the late forties in a relatively crude experimental setup where you just crammed a metal electrode into the semiconductor and that was ingenious. These people were able to make it work. But so what I wanna get to that really strikes me is that in those early days, there were a number of different semiconductors that were being considered. They had different properties, different strengths, different weaknesses. Most people thought germanium was the way to go. It had some nice properties related to things about how the electrons move inside the lattice. But other people thought that compound semiconductors with group three and group five also had really, really extraordinary properties that might be conducive to making the best devices. So there were different groups exploring each of these and that's great, that's how science works. You have to cast a broad net. But then what I find striking is why is it that silicon won? Because it's not that germanium is a useless material and it's not present in technology or compound semiconductors. They're both doing exciting and important things, slightly more niche applications whereas silicon is the semiconductor material for microelectronics which is the platform for digital computing which has transformed our world. Why did silicon win? It's because of a remarkable assemblage of qualities that no one of them was the clear winner but it made these sort of compromises between a number of different influences. It had that really excellent gate oxide that allowed us to make MOSFETs, these high performance transistors, so quickly and cheaply and easily without having to do a lot of materials development. The band gap of silicon is actually, so in a semiconductor there's an important parameter which is called the band gap which tells you there are sort of electrons that fill up to one level in the energy diagram and then there's a gap where electrons aren't allowed to have an energy in a certain range and then there's another energy level above that. And that difference between the lower sort of filled level and the unoccupied level, that tells you how much voltage you have to apply in order to induce a current to flow. So with germanium, that's about 0.75 electron volts. That means you have to apply 0.75 volts to get a current moving. And it turns out that if you compare that to the thermal excitations that are induced just by the temperature of our environment, that gap's not quite big enough. You start to use it to perform computations, it gets a little hot and you get all these accidental carriers that are excited into the conduction band and it causes errors in your computation. Silicon's band gap is just a little higher, 1.1 electron volts, but you have an exponential dependence on the number of carriers that are present that can induce those errors. It decays exponentially with that voltage. So just that slight extra energy in that band gap really puts it in an ideal position to be operated in the conditions of our ambient environment. It's kind of fascinating that, like you mentioned, errors decrease exponentially with the voltage. So it's funny because this error thing comes up when you start talking about quantum computing. And it's kind of amazing that everything we've been talking about, the errors, as we scale down, seems to be extremely low. Yes. And like all of our computation is based on the assumption that it's extremely low. Yes, well it's digital computation. Digital, sorry, digital computation. So as opposed to our biological computation in our brain, is like the assumption is stuff is gonna fail all over the place and we somehow have to still be robust to that. at the kind of information processing it does. And I wanna think from first principles about what hardware is best going to enable us to capture those information processing principles in an artificial system. And that's where I live. That's where I'm doing my exploration these days. So what are the first principles of brain like computation communication? Right, yeah, this is so important and I'm glad we booked 14 hours for this because. I only have 13, I'm sorry. Okay, so the brain is notoriously complicated. And I think that's an important part of why it can do what it does. But okay, let me try to break it down. Starting with the devices, neurons, as I said before, they're sophisticated devices in and of themselves and synapses are too. They can change their state based on the activity. So they adapt over time. That's crucial to the way the brain works. They don't just adapt on one timescale, they can adapt on myriad timescales from the spacing between pulses, the spacing between spikes that come from neurons all the way to the age of the organism. Also relevant, perhaps I think the most important thing that's guided my thinking is the network structure of the brain, so. Which can also be adjusted on different scales. Absolutely, yes, so you're making new, you're changing the strength of contacts, you're changing the spatial distribution of them, although spatial distribution doesn't change that much once you're a mature organism. But that network structure is really crucial. So let me dwell on that for a second. You can't talk about the brain without emphasizing that most of the neurons in the neocortex or the prefrontal cortex, the part of the brain that we think is most responsible for high level reasoning and things like that, those neurons make thousands of connections. So you have this network that is highly interconnected. And I think it's safe to say that one of the primary reasons that they make so many different connections is that allows information to be communicated very rapidly from any spot in the network to any other spot in the network. So that's a sort of spatial aspect of it. You can quantify this in terms of concepts that are related to fractals and scale invariants, which I think is a very beautiful concept. So what I mean by that is kind of, no matter what spatial scale you're looking at in the brain within certain bounds, you see the same general statistical pattern. So if I draw a box around some region of my cortex, most of the connections that those neurons within that box make are gonna be within the box to each other in their local neighborhood. And that's sort of called clustering, loosely speaking. But a non negligible fraction is gonna go outside of that box. And then if I draw a bigger box, the pattern is gonna be exactly the same. So you have this scale invariants, and you also have a non vanishing probability of a neuron making connection very far away. So suppose you wanna plot the probability of a neuron making a connection as a function of distance. If that were an exponential function, it would go e to the minus radius over some characteristic radius, and it would drop off up to some certain radius, the probability would be reasonably close to one, and then beyond that characteristic length R zero, it would drop off sharply. And so that would mean that the neurons in your brain are really localized, and that's not what we observe. Instead, what you see is that the probability of making a longer distance connection, it does drop off, but it drops off as a power law. So the probability that you're gonna have a connection at some radius R goes as R to the minus some power. And that's more, that's what we see with forces in nature, like the electromagnetic force between two particles or gravity goes as one over the radius squared. So you can see this in fractals. I love that there's like a fractal dynamics of the brain that if you zoom out, you draw the box and you increase that box by certain step sizes, you're gonna see the same statistics. I think that's probably very important to the way the brain processes information. It's not just in the spatial domain, it's also in the temporal domain. And what I mean by that is... That's incredible that this emerged through the evolutionary process that potentially somehow connected to the way the physics of the universe works. Yeah, I couldn't agree more that it's a deep and fascinating subject that I hope to be able to spend the rest of my life studying. You think you need to solve, understand this, this fractal nature in order to understand intelligence and communication. I do think so. I think they're deeply intertwined. Yes, I think power laws are right at the heart of it. So just to push that one through, the same thing happens in the temporal domain. So suppose your neurons in your brain were always oscillating at the same frequency, then the probability of finding a neuron oscillating as a function of frequency would be this narrowly peaked function around that certain characteristic frequency. That's not at all what we see. The probability of finding neurons oscillating or producing spikes at a certain frequency is again a power law, which means there's no defined scale of the temporal activity in the brain. At what speed do your thoughts occur? Well, there's a fastest speed they can occur and that is limited by communication and other things, but there's not a characteristic scale. We have thoughts on all temporal scales from a few tens of milliseconds, which is physiologically limited by our devices, compare that to tens of picoseconds that I talked about in superconductors, all the way up to the lifetime of the organism. You can still think about things that happened to you when you were a kid. Or if you wanna be really trippy then across multiple organisms in the entirety of human civilization, you have thoughts that span organisms, right? Yes, taking it to that level, yes. If you're willing to see the entirety of the human species as a single organism with a collective intelligence and that too on a spatial and temporal scale, there's thoughts occurring. And then if you look at not just the human species, but the entirety of life on earth as an organism with thoughts that are occurring, that are greater and greater sophisticated thoughts, there's a different spatial and temporal scale there. This is getting very suspicious. Well, hold on though, before we're done, I just wanna just tie the bow and say that the spatial and temporal aspects are intimately interrelated with each other. So activity between neurons that are very close to each other is more likely to happen on this faster timescale and information is gonna propagate and encompass more of the brain, more of your cortices, different modules in the brain are gonna be engaged in information processing on longer timescales. So there's this concept of information integration where neurons are specialized. Any given neuron or any cluster of neuron has its specific purpose, but they're also very much integrated. So you have neurons that specialize, but share their information. And so that happens through these fractal nested oscillations that occur across spatial and temporal scales. I think capturing those dynamics in hardware, to me, that's the goal of neuromorphic computing. So does it need to look, so first of all, that's fascinating. We stated some clear principles here. Now, does it have to look like the brain outside of those principles as well? Like what other characteristics have to look like the human brain? Or can it be something very different? Well, it depends on what you're trying to use it for. And so I think a lot of the community asks that question a lot. What are you gonna do with it? And I completely get it. I think that's a very important question. And it's also sometimes not the most helpful question. What if what you wanna do with it is study it? What if you just wanna see, what do you have to build into your hardware in order to observe these dynamical principles? And also, I ask myself that question every day and I'm not sure I'm able to answer that. So like, what are you gonna do with this particular neuromorphic machine? So suppose what we're trying to do with it is build something that thinks. We're not trying to get it to make us any money or drive a car. Maybe we'll be able to do that, but that's not our goal. Our goal is to see if we can get the same types of behaviors that we observe in our own brain. And by behaviors in this sense, what I mean the behaviors of the components, the neurons, the network, that kind of stuff. I think there's another element that I didn't really hit on that you also have to build into this. And those are architectural principles. They have to do with the hierarchical modular construction of the network. And without getting too lost in jargon, the main point that I think is relevant there, let me try and illustrate it with a cartoon picture of the architecture of the brain. So in the brain, you have the cortex, which is sort of this outer sheet. It's actually, it's a layered structure. You can, if you could take it out of your brain, you could unroll it on the table and it would be about the size of a pizza sitting there. And that's a module. It does certain things. It processes as Yogi Buzaki would say, it processes the what of what's going on around you. But you have another really crucial module that's called the hippocampus. And that network is structured entirely differently. First of all, this cortex that had described 10 billion neurons in there. So numbers matter here. And they're organized in that sort of power law distribution where the probability of making a connection drops off as a power law in space. The hippocampus is another module that's important for understanding how, where you are, when you are keeping track of your position in space and time. And that network is very much random. So the probability of making a connection, it almost doesn't even drop off as a function of distance. It's the same probability that you'll make it here to over there, but there are only about 100 million neurons there, so you can have that huge densely connected module because it's not so big. And the neocortex or the cortex and the hippocampus, they talk to each other constantly. And that communication is largely facilitated by what's called the thalamus. I'm not a neuroscientist here. I'm trying to do my best to recite things. Cartoon picture of the brain, I gotcha. Yeah, something like that. So this thalamus is coordinating the activity between the neocortex and the hippocampus and making sure that they talk to each other at the right time and send messages that will be useful to one another. So this all taken together is called the thalamocortical complex. And it seems like building something like that is going to be crucial to capturing the types of activity we're looking for because those responsibilities, those separate modules, they do different things, that's gotta be central to achieving these states of efficient information integration across space and time. By the way, I am able to achieve this state by watching simulations, visualizations of the thalamocortical complex. There's a few people I forget from where. They've created these incredible visual illustrations of visual stimulation from the eye or something like that. And this image flowing through the brain. Wow, I haven't seen that, I gotta check that out. So it's one of those things, you find this stuff in the world, and you see on YouTube, it has 1,000 views, these visualizations of the human brain processing information. And because there's chemistry there, because this is from actual human brains, I don't know how they're doing the coloring, but they're able to actually trace the different, the chemical and the electrical signals throughout the brain, and the visual thing, it's like, whoa, because it looks kinda like the universe, I mean, the whole thing is just incredible. I recommend it highly, I'll probably post a link to it. But you can just look for, one of the things they simulate is the thalamocortical complex and just visualization. You can find that yourself on YouTube, but it's beautiful. The other question I have for you is, how does memory play into all of this? Because all the signals sending back and forth, that's computation and communication, but that's kinda like processing of inputs and outputs, to produce outputs in the system, that's kinda like maybe reasoning, maybe there's some kind of recurrence. But is there a storage mechanism that you think about in the context of neuromorphic computing? Yeah, absolutely, so that's gotta be central. You have to have a way that you can store memories. And there are a lot of different kinds of memory in the brain. That's yet another example of how it's not a simple system. So there's one kind of memory, one way of talking about memory, usually starts in the context of Hopfield networks. You were lucky to talk to John Hopfield on this program. But the basic idea there is working memory is stored in the dynamical patterns of activity between neurons. And you can think of a certain pattern of activity as an attractor, meaning if you put in some signal that's similar enough to other previously experienced signals like that, then you're going to converge to the same network dynamics and you will see these neurons participate in the same network patterns of activity that they have in the past. So you can talk about the probability that different inputs will allow you to converge to different basins of attraction and you might think of that as, oh, I saw this face and then I excited this network pattern of activity because last time I saw that face, I was at some movie and that's a famous person that's on the screen or something like that. So that's one memory storage mechanism. But crucial to the ability to imprint those memories in your brain is the ability to change the strength of connection between one neuron and another, that synaptic connection between them. So synaptic weight update is a massive field of neuroscience and neuromorphic computing as well. So there are two poles on that spectrum. Okay, so more in the language of machine learning, we would talk about supervised and unsupervised learning. And when I'm trying to tie that down to neuromorphic computing, I will use a definition of supervised learning, which basically means the external user, the person who's controlling this hardware has some knob that they can tune to change each of the synaptic weights, depending on whether or not the network is doing what you want it to do. Whereas what I mean in this conversation when I say unsupervised learning is that those synaptic weights are dynamically changing in your network based on nothing that the user is doing, nothing that there's no wire from the outside going into any of those synapses. The network itself is reconfiguring those synaptic weights based on physical properties that you've built into the devices. So if the synapse receives a pulse from here and that causes the neuron to spike, some circuit built in there with no help from me or anybody else adjust the weight in a way that makes it more likely to store the useful information and excite the useful network patterns and makes it less likely that random noise, useless communication events will have an important effect on the network activity. So there's memory encoded in the weights, the synaptic weights. What about the formation of something that's not often done in machine learning, the formation of new synaptic connections? Right, well, that seems to, so again, not a neuroscientist here, but my reading of the literature is that that's particularly crucial in early stages of brain development where a newborn is born with tons of extra synaptic connections and it's actually pruned over time. So the number of synapses decreases as opposed to growing new long distance connections. It is possible in the brain to grow new neurons and assign new synaptic connections but it doesn't seem to be the primary mechanism by which the brain is learning. So for example, like right now, sitting here talking to you, you say lots of interesting things and I learn from you and I can remember things that you just said and I didn't grow new axonal connections down to new synapses to enable those. It's plasticity mechanisms in the synaptic connections between neurons that enable me to learn on that timescale. So at the very least, you can sufficiently approximate that with just weight updates. You don't need to form new connections. I would say weight updates are a big part of it. I also think there's more because broadly speaking, when we're doing machine learning, our networks, say we're talking about feed forward, deep neural networks, the temporal domain is not really part of it. Okay, you're gonna put in an image and you're gonna get out a classification and you're gonna do that as fast as possible. So you care about time but time is not part of the essence of this thing really. Whereas in spiking neural networks, what we see in the brain, time is as crucial as space and they're intimately intertwined as I've tried to say. And so adaptation on different timescales is important not just in memory formation, although it plays a key role there, but also in just keeping the activity in a useful dynamic range. So you have other plasticity mechanisms, not just weight update, or at least not on the timescale of many action potentials, but even on the shorter timescale. So a synapse can become much less efficacious. It can transmit a weaker signal after the second, third, fourth, that can second, third, fourth action potential to occur in a sequence. So that's what's called short term synaptic plasticity, which is a form of learning. You're learning that I'm getting too much stimulus from looking at something bright right now. So I need to tone that down. There's also another really important mechanism in learning that's called metoplasticity. What that seems to be is a way that you change not the weights themselves, but the rate at which the weights change. So when I am in say a lecture hall and my, this is a potentially terrible cartoon example, but let's say I'm in a lecture hall and it's time to learn, right? So my brain will release more, perhaps dopamine or some neuromodulator that's gonna change the rate at which synaptic plasticity occurs. So that can make me more sensitive to learning at certain times, more sensitive to overriding previous information and less sensitive at other times. And finally, as long as I'm rattling off the list, I think another concept that falls in the category of learning or memory adaptation is homeostasis or homeostatic adaptation, where neurons have the ability to control their firing rate. So if one neuron is just like blasting way too much, it will naturally tone itself down. Its threshold will adjust so that it stays in a useful dynamical range. And we see that that's captured in deep neural networks where you don't just change the synaptic weights, but you can also move the thresholds of simple neurons in those models. And so to achieve the spiking neural networks, you want to use, you want to implement the first principles that you mentioned of the temporal and the spatial fractal dynamics here. So you can communicate locally, you can communicate across much greater distances and do the same thing in space and do the same thing in time. Now, you have like a chapter called Superconducting Hardware for Neuromorphic Computing. So what are some ideas that integrate some of the things we've been talking about in terms of the first principles of neuromorphic computing and the ideas that you outline in optoelectronic intelligence? Yeah, so let me start, I guess, on the communication side of things, because that's what led us down this track in the first place. By us, I'm talking about my team of colleagues at NIST, Saeed Han, Bryce Brimavera, Sonia Buckley, Jeff Chiles, Adam McCallum to name, Alex Tate to name a few, our group leaders, Saewoo Nam and Rich Mirren. We've all contributed to this. So this is not me saying necessarily just the things that I've proposed, but sort of where our team's thinking has evolved over the years. Can I quickly ask, what is NIST and where is this amazing group of people located? NIST is the National Institute of Standards and Technology. The larger facility is out in Gaithersburg, Maryland. Our team is located in Boulder, Colorado. NIST is a federal agency under the Department of Commerce. We do a lot with, by we, I mean other people at NIST, do a lot with standards, making sure that we understand the system of units, international system of units, precision measurements. There's a lot going on in electrical engineering, material science. And it's historic. I mean, it's one of those, it's like MIT or something like that. It has a reputation over many decades of just being this really a place where there's a lot of brilliant people have done a lot of amazing things. But in terms of the people in your team, in this team of people involved in the concept we're talking about now, I'm just curious, what kind of disciplines are we talking about? What is it? Mostly physicists and electrical engineers, some material scientists, but I would say, yeah, I think physicists and electrical engineers, my background is in photonics, the use of light for technology. So coming from there, I tend to have found colleagues that are more from that background. Although Adam McConn, more of a superconducting electronics background, we need a diversity of folks. This project is sort of cross disciplinary. I would love to be working more with neuroscientists and things, but we haven't reached that scale yet. But yeah. You're focused on the hardware side, which requires all the disciplines that you mentioned. And then of course, neuroscientists may be a source of inspiration for some of the longterm vision. I would actually call it more than inspiration. I would call it sort of a roadmap. We're not trying to build exactly the brain, but I don't think it's enough to just say, oh, neurons kind of work like that. Let's kind of do that thing. I mean, we're very much following the concepts that the cognitive sciences have laid out for us, which I believe is a really robust roadmap. I mean, just on a little bit of a tangent, it's often stated that we just don't understand the brain. And so it's really hard to replicate it because we just don't know what's going on there. And maybe five or seven years ago, I would have said that, but as I got more interested in the subject, I read more of the neuroscience literature and I was just taken by the exact opposite sense. I can't believe how much they know about this. I can't believe how mathematically rigorous and sort of theoretically complete a lot of the concepts are. That's not to say we understand consciousness or we understand the self or anything like that, but what is the brain doing and why is it doing those things? Neuroscientists have a lot of answers to those questions. So if you're a hardware designer that just wants to get going, whoa, it's pretty clear which direction to go in, I think. Okay, so I love the optimism behind that, but in the implementation of these systems that uses superconductivity, how do you make it happen? So to me, it starts with thinking about the communication network. You know for sure that the ability of each neuron to communicate to many thousands of colleagues across the network is indispensable. I take that as a core principle of my architecture, my thinking on the subject. So coming from a background in photonics, it was very natural to say, okay, we're gonna use light for communication. Just in case listeners may not know, light is often used in communication. I mean, if you think about radio, that's light, it's long wavelengths, but it's electromagnetic radiation. It's the same physical phenomenon obeying exactly the same Maxwell's equations. And then all the way down to fiber, fiber optics. Now you're using visible or near infrared wavelengths of light, but the way you send messages across the ocean is now contemporary over optical fibers. So using light for communication is not a stretch. It makes perfect sense. So you might ask, well, why don't you use light for communication in a conventional microchip? And the answer to that is, I believe, physical. If we had a light source on a silicon chip that was as simple as a transistor, there would not be a processor in the world that didn't use light for communication, at least above some distance. How many light sources are needed? Oh, you need a light source at every single point. A light source per neuron. Per neuron, per little, but then if you could have a really small and nice light source, your definition of neuron could be flexible. Could be, yes, yes. Sometimes it's helpful to me to say, in this hardware, a neuron is that entity which has a light source. That, and I can explain. And then there was light. I mean, I can explain more about that, but. Somehow this like rhymes with consciousness because people will often say the light of consciousness. So that consciousness is that which is conscious. I got it. That's not my quote. That's me, that's my quote. You see, that quote comes from my background. Yours is in optics, mine in light, mine's in darkness. So go ahead. So the point I was making there is that if it was easy to manufacture light sources along with transistors on a silicon chip, they would be everywhere. And it's not easy. People have been trying for decades and it's actually extremely difficult. I think an important part of our research is dwelling right at that spot there. So. Is it physics or engineering? It's physics. So, okay, so it's physics, I think. So what I mean by that is, as we discussed, silicon is the material of choice for transistors and it's very difficult to imagine that that's gonna change anytime soon. Silicon is notoriously bad at emitting light. And that has to do with the immutable properties of silicon itself. The way that the energy bands are structured in silicon, you're never going to make silicon efficient as a light source at room temperature without doing very exotic things that degrade its ability to interface nicely with those transistors in the first place. So that's like one of these things where it's, why is nature dealing us that blow? You give us these beautiful transistors and you give us all the motivation to use light for communication, but then you don't give us a light source. So, well, okay, you do give us a light source. Compound semiconductors, like we talked about back at the beginning, an element from group three and an element from group five form an alloy where every other lattice site switches which element it is. Those have much better properties for generating light. You put electrons in, light comes out. Almost 100% of the electron hold, it can be made efficient. I'll take your word for it, okay. However, I say it's physics, not engineering, because it's very difficult to get those compound semiconductor light sources situated with your silicon. In order to do that ion implantation that I talked about at the beginning, high temperatures are required. So you gotta make all of your transistors first and then put the compound semiconductors on top of there. You can't grow them afterwards because that requires high temperature. It screws up all your transistors. You try and stick them on there. They don't have the same lattice constant. The spacing between atoms is different enough that it just doesn't work. So nature does not seem to be telling us that, hey, go ahead and combine light sources with your digital switches for conventional digital computing. And conventional digital computing will often require smaller scale, I guess, in terms of like smartphone. So in which kind of systems does nature hint that we can use light and photons for communication? Well, so let me just try and be clear. You can use light for communication in digital systems, just the light sources are not intimately integrated with the silicon. You manufacture all the silicon, you have your microchip, plunk it down. And then you manufacture your light sources, separate chip, completely different process made in a different foundry. And then you put those together at the package level. So now you have some, I would say a great deal of architectural limitations that are introduced by that sort of package level integration as opposed to monolithic on the same chip integration, but it's still a very useful thing to do. And that's where I had done some work previously before I came to NIST. There's a project led by Vladimir Stoyanovich that now spun out into a company called IR Labs led by Mark Wade and Chen Sun where they're doing exactly that. So you have your light source chip, your silicon chip, whatever it may be doing, maybe it's digital electronics, maybe it's some other control purpose, something. And the silicon chip drives the light source chip and modulates the intensity of the lights. You can get data out of the package on an optical fiber. And that still gives you tremendous advantages in bandwidth as opposed to sending those signals out over electrical lines. But it is somewhat peculiar to my eye that they have to be integrated at this package level. And those people, I mean, they're so smart. Those are my colleagues that I respect a great deal. So it's very clear that it's not just they're making a bad choice. This is what physics is telling us. It just wouldn't make any sense to try to stick them together. Yeah, so even if it's difficult, it's easier than the alternative, unfortunately. I think so, yes. And again, I need to go back and make sure that I'm not taking the wrong way. I'm not saying that the pursuit of integrating compound semiconductors with silicon is fruitless and shouldn't be pursued. It should, and people are doing great work. Kai Mei Lau and John Bowers, others, they're doing it and they're making progress. But to my eye, it doesn't look like that's ever going to be just the standard monolithic light source on silicon process. I just don't see it. Yeah, so nature kind of points the way usually. And if you resist nature, you're gonna have to do a lot more work. And it's gonna be expensive and not scalable. Got it. But okay, so let's go far into the future. Let's imagine this gigantic neuromorphic computing system that simulates all of our realities. It currently is Mantra Matrix 4. So this thing, this powerful computer, how does it operate? So what are the neurons? What is the communication? What's your sense? All right, so let me now, after spending 45 minutes trashing light source integration with silicon, let me now say why I'm basing my entire life, professional life, on integrating light sources with electronics. I think the game is completely different when you're talking about superconducting electronics. For several reasons, let me try to go through them. One is that, as I mentioned, it's difficult to integrate those compound semiconductor light sources with silicon. With silicon is a requirement that is introduced by the fact that you're using semiconducting electronics. In superconducting electronics, you're still gonna start with a silicon wafer, but it's just the bread for your sandwich in a lot of ways. You're not using that silicon in precisely the same way for the electronics. You're now depositing superconducting materials on top of that. The prospects for integrating light sources with that kind of an electronic process are certainly less explored, but I think much more promising because you don't need those light sources to be intimately integrated with the transistors. That's where the problems come up. They don't need to be lattice matched to the silicon, all that kind of stuff. Instead, it seems possible that you can take those compound semiconductor light sources, stick them on the silicon wafer, and then grow your superconducting electronics on the top of that. It's at least not obviously going to fail. So the computation would be done on the superconductive material as well? Yes, the computation is done in the superconducting electronics, and the light sources receive signals that say, hey, a neuron reached threshold, produce a pulse of light, send it out to all your downstream synaptic connections. Those are, again, superconducting electronics. Perform your computation, and you're off to the races. Your network works. So then if we can rewind real quick, so what are the limitations of the challenges of superconducting electronics when we think about constructing these kinds of systems? So actually, let me say one other thing about the light sources, and then I'll move on, I promise, because this is probably tedious for some. This is super exciting. Okay, one other thing about the light sources. I said that silicon is terrible at emitting photons. It's just not what it's meant to do. However, the game is different when you're at low temperature. If you're working with superconductors, you have to be at low temperature because they don't work otherwise. When you're at four Kelvin, silicon is not obviously a terrible light source. It's still not as efficient as compound semiconductors, but it might be good enough for this application. The final thing that I'll mention about that is, again, leveraging superconductors, as I said, in a different context, superconducting detectors can receive one single photon. In that conversation, I failed to mention that semiconductors can also receive photons. That's the primary mechanism by which it's done. A camera in your phone that's receptive to visible light is receiving photons. It's based on silicon, or you can make it in different semiconductors for different wavelengths, but it requires on the order of a thousand, a few thousand photons to receive a pulse. Now, when you're using a superconducting detector, you need one photon, exactly one. I mean, one or more. So the fact that your synapses can now be based on superconducting detectors instead of semiconducting detectors brings the light levels that are required down by some three orders of magnitude. So now you don't need good light sources. You can have the world's worst light sources. As long as they spit out maybe a few thousand photons every time a neuron fires, you have the hardware principles in place that you might be able to perform this optoelectronic integration. To me optoelectronic integration is, it's just so enticing. We want to be able to leverage electronics for computation, light for communication, working with silicon microelectronics at room temperature that has been exceedingly difficult. And I hope that when we move to the superconducting domain, target a different application space that is neuromorphic instead of digital and use superconducting detectors, maybe optoelectronic integration comes to us. Okay, so there's a bunch of questions. So one is temperature. So in these kinds of hybrid heterogeneous systems, what's the temperature? What are some of the constraints to the operation here? Does it all have to be a four Kelvin as well? Four Kelvin. Everything has to be at four Kelvin. Okay, so what are the other engineering challenges of making this kind of optoelectronic systems? Let me just dwell on that four Kelvin for a second because some people hear four Kelvin and they just get up and leave. They just say, I'm not doing it, you know? And to me, that's very earth centric, species centric. We live in 300 Kelvin. So we want our technologies to operate there too. I totally get it. Yeah, what's zero Celsius? Zero Celsius is 273 Kelvin. So we're talking very, very cold here. This is... Not even Boston cold. No. This is real cold. Yeah. Siberia cold, no. Okay, so just for reference, the temperature of the cosmic microwave background is about 2.7 Kelvin. So we're still warmer than deep space. Yeah, good. So that when the universe dies out, it'll be colder than four K. It's already colder than four K. In the expanses, you know, you don't have to get that far away from the earth in order to drop down to not far from four Kelvin. So what you're saying is the aliens that live at the edge of the observable universe are using superconductive material for their computation. They don't have to live at the edge of the universe. The aliens that are more advanced than us in their solar system are doing this in their asteroid belt. We can get to that. Oh, because they can get that to that temperature easier there? Sure, yeah. All you have to do is reflect the sunlight away and you have a huge headstart. Oh, so the sun is the problem here. Like it's warm here on earth. Got it. Yeah. Okay, so can you... So how do we get to four K? What's... Well, okay, so what I want to say about temperature... Yeah. What I want to say about temperature is that if you can swallow that, if you can say, all right, I give up applications that have to do with my cell phone and the convenience of a laptop on a train and you instead... For me, I'm very much in the scientific head space. I'm not looking at products. I'm not looking at what this will be useful to sell to consumers. Instead, I'm thinking about scientific questions. Well, it's just not that bad to have to work at four Kelvin. We do it all the time in our labs at NIST. And so does... I mean, for reference, the entire quantum computing sector usually has to work at something like 100 millikelvin, 50 millikelvin. So now you're talking of another factor of 100 even colder than that, a fraction of a degree. And everybody seems to think quantum computing is going to take over the world. It's so much more expensive to have to get that extra factor of 10 or whatever colder. And yet it's not stopping people from investing in that area. And by investing, I mean putting their research into it as well as venture capital or whatever. So... Oh, so based on the energy of what you're commenting on, I'm getting a sense that's one of the criticism of this approach is 4K, 4 Kelvin is a big negative. It is the showstopper for a lot of people. They just, I mean, and understandably, I'm not saying that that's not a consideration. Of course it is. For some... Okay, so different motivations for different people. In the academic world, suppose you spent your whole life learning about silicon microelectronic circuits. You send a design to a foundry, they send you back a chip and you go test it at your tabletop. And now I'm saying, here now learn how to use all these cryogenics so you can do that at 4 Kelvin. No, come on, man. I don't wanna do that. That sounds bad. It's the old momentum, the Titanic of the turning. Yeah, kind of. But you're saying that's not too much of a... When we're looking at large systems and the gain you can potentially get from them, that's not that much of a cost. And when you wanna answer the scientific question about what are the physical limits of cognition? Well, the physical limits, they don't care if you're at 4 Kelvin. If you can perform cognition at a scale orders of magnitude beyond any room temperature technology, but you gotta get cold to do it, you're gonna do it. And to me, that's the interesting application space. It's not even an application space, that's the interesting scientific paradigm. So I personally am not going to let low temperature stop me from realizing a technological domain or realm that is achieving in most ways everything else that I'm looking for in my hardware. So that, okay, that's a big one. Is there other kind of engineering challenges that you envision? Yeah, yeah, yeah. So let me take a moment here because I haven't really described what I mean by a neuron or a network in this particular hardware. Yeah, do you wanna talk about loop neurons and there's so many fascinating... But you just have so many amazing papers that people should definitely check out and the titles alone are just killer. So anyway, go ahead. Right, so let me say big picture, based on optics, photonics for communication, superconducting electronics for computation, how does this all work? So a neuron in this hardware platform can be thought of as circuits that are based on Josephson junctions, like we talked about before, where every time a photon comes in... So let's start by talking about a synapse. A synapse receives a photon, one or more, from a different neuron and it converts that optical signal to an electrical signal. The amount of current that that adds to a loop is controlled by the synaptic weight. So as I said before, you're popping fluxons into a loop, right? So a photon comes in, it hits a superconducting single photon detector, one photon, the absolute physical minimum that you can communicate from one place to another with light. And that detector then converts that into an electrical signal and the amount of signal is correlated with some kind of weight. Yeah, so the synaptic weight will tell you how many fluxons you pop into the loop. It's an analog number. We're doing analog computation now. Well, can you just linger on that? What the heck is a fluxon? Are we supposed to know this? Or is this a funny, is this like the big bang? Is this a funny word for something deeply technical? No, let's try to avoid using the word fluxon because it's not actually necessary. When a photon... It's fun to say though. So it's very necessary, I would say. When a photon hits that superconducting single photon detector, current is added to a superconducting loop. And the amount of current that you add is an analog value, can have eight bit equivalent resolution, something like that. 10 bits, maybe. That's amazing, by the way. This is starting to make a lot more sense. When you're using superconductors for this, the energy of that circulating current is less than the energy of that photon. So your energy budget is not destroyed by doing this analog computation. So now in the language of a neuroscientist, you would say that's your postsynaptic signal. You have this current being stored in a loop. You can decide what you wanna do with it. Most likely you're gonna have it decay exponentially. So every single synapse is gonna have some given time constant. And that's determined by putting some resistor in that superconducting loop. So a synapse event occurs when a photon strikes a detector, adds current to that loop, it decays over time. That's the postsynaptic signal. Then you can process that in a dendritic tree. Bryce Primavera and I have a paper that we've submitted about that. For the more neuroscience oriented people, there's a lot of dendritic processing, a lot of plasticity mechanisms you can implement with essentially exactly the same circuits. You have this one simple building block circuit that you can use for a synapse, for a dendrite, for the neuron cell body, for all the plasticity functions. It's all based on the same building block, just tweaking a couple parameters. So this basic building block has both an optical and an electrical component, and then you just build arbitrary large systems with that? Close, you're not at fault for thinking that that's what I meant. What I should say is that if you want it to be a synapse, you tack a superconducting detector onto the front of it. And if you want it to be anything else, there's no optical component. Got it, so at the front, optics in the front, electrical stuff in the back. Electrical, yeah, in the processing and in the output signal that it sends to the next stage of processing further. So the dendritic trees is electrical. It's all electrical. It's all electrical in the superconducting domain. For anybody who's up on their superconducting circuits, it's just based on a DC squid, the most ubiquitous, which is a circuit composed of two Joseph's injunctions. So it's a very bread and butter kind of thing. And then the only place where you go beyond that is the neuron cell body itself. It's receiving all these electrical inputs from the synapses or dendrites or however you've structured that particular unique neuron. And when it reaches its threshold, which occurs by driving a Joseph's injunction above its critical current, it produces a pulse of current, which starts an amplification sequence, voltage amplification, that produces light out of a transmitter. So one of our colleagues, Adam McCann, and Sonia Buckley as well, did a lot of work on the light sources and the amplifiers that drive the current and produce sufficient voltage to drive current through that now semiconducting part. So that light source is the semiconducting part of a neuron. And that, so the neuron has reached threshold. It produces a pulse of light. That light then fans out across a network of wave guides to reach all the downstream synaptic terminals that perform this process themselves. So it's probably worth explaining what a network of wave guides is, because a lot of listeners aren't gonna know that. Look up the papers by Jeff Chiles on this one. But basically, light can be guided in a simple, basically wire of usually an insulating material. So silicon, silicon nitride, different kinds of glass, just like in a fiber optic, it's glass, silicon dioxide. That makes it a little bit big. We wanna bring these down. So we use different materials like silicon nitride, but basically just imagine a rectangle of some material that just goes and branches, forms different branch points that target different subregions of the network. You can transition between layers of these. So now we're talking about building in the third dimension, which is absolutely crucial. So that's what wave guides are. Yeah, that's great. Why the third dimension is crucial? Okay, so yes, you were talking about what are some of the technical limitations. One of the things that I believe we have to grapple with is that our brains are miraculously compact. For the number of neurons that are in our brain, it sure does fit in a small volume, as it would have to if we're gonna be biological organisms that are resource limited and things like that. Any kind of hardware neuron is almost certainly gonna be much bigger than that if it is of comparable complexity, whether it's based on silicon transistors. Okay, a transistor, seven nanometers, that doesn't mean a semiconductor based neuron is seven nanometers. They're big. They require many transistors, different other things like capacitors and things that store charge. They end up being on the order of 100 microns by 100 microns, and it's difficult to get them down any smaller than that. The same is true for superconducting neurons, and the same is true if we're trying to use light for communication. Even if you're using electrons for communication, you have these wires where, okay, the size of an electron might be angstroms, but the size of a wire is not angstroms, and if you try and make it narrower, the resistance just goes up, so you don't actually win. To communicate over long distances, you need your wires to be microns wide, and it's the same thing for wave guides. Wave guides are essentially limited by the wavelength of light, and that's gonna be about a micron, so whereas compare that to an axon, the analogous component in the brain, which is 10 nanometers in diameter, something like that, they're bigger when they need to communicate over long distances, but grappling with the size of these structures is inevitable and crucial, and so in order to make systems of comparable scale to the human brain, by scale here, I mean number of interconnected neurons, you absolutely have to be using the third spatial dimension, and that means on the wafer, you need multiple layers of both active and passive components. Active, I mean superconducting electronic circuits that are performing computations, and passive, I mean these wave guides that are routing the optical signals to different places, you have to be able to stack those. If you can get to something like 10 planes of each of those, or maybe not even 10, maybe five, six, something like that, then you're in business. Now you can get millions of neurons on a wafer, but that's not anywhere close to the brain scale. In order to get to the scale of the human brain, you're gonna have to also use the third dimension in the sense that entire wafers need to be stacked on top of each other with fiber optic communication between them, and we need to be able to fill a space the size of this table with stacked wafers, and that's when you can get to some 10 billion neurons like your human brain, and I don't think that's specific to the optoelectronic approach that we're taking. I think that applies to any hardware where you're trying to reach commensurate scale and complexity as the human brain. So you need that fractal stacking, so stacking on the wafer, and stacking of the wafers, and then whatever the system that combines, this stacking of the tables with the wafers. And it has to be fractal all the way, you're exactly right, because that's the only way that you can efficiently get information from a small point to across that whole network. It has to have the power law connected. And photons are like optics throughout. Yeah, absolutely. Once you're at this scale, to me it's just obvious. Of course you're using light for communication. You have fiber optics given to us from nature, so simple. The thought of even trying to do any kind of electrical communication just doesn't make sense to me. I'm not saying it's wrong, I don't know, but that's where I'm coming from. So let's return to loop neurons. Why are they called loop neurons? Yeah, the term loop neurons comes from the fact, like we've been talking about, that they rely heavily on these superconducting loops. So even in a lot of forms of digital computing with superconductors, storing a signal in a superconducting loop is a primary technique. In this particular case, it's just loops everywhere you look. So the strength of a synaptic weight is gonna be set by the amount of current circulating in a loop that is coupled to the synapse. So memory is implemented as current circulating in a superconducting loop. The coupling between, say, a synapse and a dendrite or a synapse in the neuron cell body occurs through loop coupling through transformers. So current circulating in a synapse is gonna induce current in a different loop, a receiving loop in the neuron cell body. So since all of the computation is happening in these flux storage loops and they play such a central role in how the information is processed, how memories are formed, all that stuff, I didn't think too much about it, I just called them loop neurons because it rolls off the tongue a little bit better than superconducting optoelectronic neurons. Okay, so how do you design circuits for these loop neurons? That's a great question. There's a lot of different scales of design. So at the level of just one synapse, you can use conventional methods. They're not that complicated as far as superconducting electronics goes. It's just four Joseph's injunctions or something like that depending on how much complexity you wanna add. So you can just directly simulate each component in SPICE. What's SPICE? It's Standard Electrical Simulation Software, basically. So you're just explicitly solving the differential equations that describe the circuit elements. And then you can stack these things together in that simulation software to then build circuits. You can, but that becomes computationally expensive. So one of the things when COVID hit, we knew we had to turn some attention to more things you can do at home in your basement or whatever, and one of them was computational modeling. So we started working on adapting, abstracting out the circuit performance so that you don't have to explicitly solve the circuit equations, which for Joseph's injunctions usually needs to be done on like a picosecond timescale and you have a lot of nodes in your circuit. So it results in a lot of differential equations that need to be solved simultaneously. We were looking for a way to simulate these circuits that is scalable up to networks of millions or so neurons is sort of where we're targeting right now. So we were able to analyze the behavior of these circuits. And as I said, it's based on these simple building blocks. So you really only need to understand this one building block. And if you get a good model of that, boom, it tiles. And you can change the parameters in there to get different behaviors and stuff, but it's all based on now it's one differential equation that you need to solve. So one differential equation for every synapse, dendrite or neuron in your system. And for the neuroscientists out there, it's just a simple leaky integrate and fire model, leaky integrator, basically. A synapse is a leaky integrator, a dendrite is a leaky integrator. So I'm really fascinated by how this one simple component can be used to achieve lots of different types of dynamical activity. And to me, that's where scalability comes from. And also complexity as well. Complexity is often characterized by relatively simple building blocks connected in potentially simple or sometimes complicated ways, and then emergent new behavior that was hard to predict from those simple elements. And that's exactly what we're working with here. So it's a very exciting platform, both from a modeling perspective and from a hardware manifestation perspective where we can hopefully start to have this test bed where we can explore things, not just related to neuroscience, but also related to other things that connected to other physics like critical phenomenon, Ising models, things like that. So you were asking how we simulate these circuits. It's at different levels and we've got the simple spice circuit stuff. That's no problem. And now we're building these network models based on this more efficient leaky integrator. So we can actually reduce every element to one differential equation. And then we can also step through it on a much coarser time grid. So it ends up being something like a factor of a thousand to 10,000 speed improvement, which allows us to simulate, but hopefully up to millions of neurons. Whereas before we would have been limited to tens, a hundred, something like that. And just like simulating quantum mechanical systems with a quantum computer. So the goal here is to understand such systems. For me, the goal is to study this as a scientific physical system. I'm not drawn towards turning this into an enterprise at this point. I feel short term applications that obviously make a lot of money is not necessarily a curiosity driver for you at the moment. Absolutely not. If you're interested in short term making money, go with deep learning, use silicon microelectronics. If you wanna understand things like the physics of a fascinating system, or if you wanna understand something more along the lines of the physical limits of what can be achieved, then I think single photon communication, superconducting electronics is extremely exciting. What if I wanna use superconducting hardware at four Kelvin to mine Bitcoin? That's my main interest. The reason I wanted to talk to you today, I wanna say, no, I don't know. What's Bitcoin? Look it up on the internet. Somebody told me about it. I'm not sure exactly what it is. But let me ask nevertheless about applications to machine learning. Okay, so if you look at the scale of five, 10, 20 years, is it possible to, before we understand the nature of human intelligence and general intelligence, do you think we'll start falling out of this exploration of neuromorphic systems ability to solve some of the problems that the machine learning systems of today can't solve? Well, I'm really hesitant to over promise. So I really don't know. Also, I don't really understand machine learning in a lot of senses. I mean, machine learning from my perspective appears to require that you know precisely what your input is and also what your goal is. You usually have some objective function or something like that. And that's very limiting. I mean, of course, a lot of times that's the case. That's exactly right. So this also, this is gonna be the most controversial part of our conversation where you're gonna make some enemies. So let me ask, because we've been talking about physics and engineering. Which group of people is smarter and more important for this one? Let me ask the question in a better way. Some of the big innovations, some of the beautiful things that we've been talking about, how much of it is physics? How much of it is engineering? My dad is a physicist and he talks down to all the amazing engineering that we're doing in the artificial intelligence and the computer science and the robotics and all that space. So we argue about this all the time. So what do you think? Who gets more credit? I'm genuinely not trying to just be politically correct here. I don't see how you would have any of the, what we consider sort of the great accomplishments of society without both. You absolutely need both of those things. Physics tends to play a key role earlier in the development and then engineering optimization, these things take over. And I mean, the invention of the transistor or actually even before that, the understanding of semiconductor physics that allowed the invention of the transistor, that's all physics. So if you didn't have that physics, you don't even get to get on the field. But once you have understood and demonstrated that this is in principle possible, more so as engineering. Why we have computers more powerful than old supercomputers in each of our phones, that's all engineering. And I think I would be quite foolish to say that that's not valuable, that's not a great contribution. It's a beautiful dance. Would you put like Silicon, the understanding of the material properties in the space of engineering? Like how does that whole process work? To understand that it has all these nice properties or even the development of photolithography, is that basically, would you put that in a category of engineering? No, I would say that it is basic physics, it is applied physics, it's material science, it's X ray crystallography, it's polymer chemistry, it's everything. Chemistry even is thrown in there? Absolutely, yes, absolutely. Just no biology. We can get to biology. Or the biologies and the humans that are engineering the system, so it's all integrated deeply. Okay, so let's return, you mentioned this word superconductivity. So what does that have to do with what we're talking about? Right, okay, so in a semiconductor, as I tried to describe a second ago, you can sort of induce currents by applying voltages and those have sort of typical properties that you would expect from some kind of a conductor. Those electrons, they don't just flow perfectly without dissipation. If an electron collides with an imperfection in the lattice or another electron, it's gonna slow down, it's gonna lose its momentum. So you have to keep applying that voltage in order to keep the current flowing. In a superconductor, something different happens. If you get a current to start flowing, it will continue to flow indefinitely. There's no dissipation. So that's crazy. How does that happen? Well, it happens at low temperature and this is crucial. It has to be a quite low temperature and what I'm talking about there, for essentially all of our conversation, I'm gonna be talking about conventional superconductors, sometimes called low TC superconductors, low critical temperature superconductors. And so those materials have to be at a temperature around, say around four Kelvin. I mean, their critical temperature might be 10 Kelvin, something like that, but you wanna operate them at around four Kelvin, four degrees above absolute zero. And what happens at that temperature, at very low temperatures in certain materials is that the noise of atoms moving around, the lattice vibrating, electrons colliding with each other, that becomes sufficiently low that the electrons can settle into this very special state. It's sometimes referred to as a macroscopic quantum state because if I had a piece of superconducting material here, let's say niobium is a very typical superconductor. If I had a block of niobium here and we cooled it below its critical temperature, all of the electrons in that superconducting state would be in one coherent quantum state. The wave function of that state is described in terms of all of the particles simultaneously, but it extends across macroscopic dimensions, the size of whatever block of that material I have sitting here. And the way this occurs is that, let's try to be a little bit light on the technical details, but essentially the electrons coordinate with each other. They are able to, in this macroscopic quantum state, they're able to sort of, one can quickly take the place of the other. You can't tell electrons apart. They're what's known as identical particles. So if this electron runs into a defect that would otherwise cause it to scatter, it can just sort of almost miraculously avoid that defect because it's not really in that location. It's part of a macroscopic quantum state and the entire quantum state was not scattered by that defect. So you can get a current that flows without dissipation and that's called a supercurrent. That's sort of just very much scratching the surface of superconductivity. There's very deep and rich physics there, just probably not the main subject we need to go into right now. But it turns out that when you have this material, you can do usual things like make wires out of it so you can get current to flow in a straight line on a chip, but you can also make other devices that perform different kinds of operations. Some of them are kind of logic operations like you'd get in a transistor. The most common or the most, I would say, diverse in its utility component is a Josephson junction. It's not analogous to a transistor in the sense that if you apply a voltage here, it changes how much current flows from left to right, but it is analogous in sort of a sense of it's the go to component that a circuit engineer is going to use to start to build up more complexity. So these junctions serve as gates. They can serve as gates. So I'm not sure how concerned to be with semantics, but let me just briefly say what a Josephson junction is and we can talk about different ways that they can be used. Basically, if you have a superconducting wire and then a small gap of a different material that's not superconducting, an insulator or normal metal, and then another superconducting wire on the other side, that's a Josephson junction. So it's sometimes referred to as a superconducting weak link. So you have this superconducting state on one side and on the other side, and the superconducting wave function actually tunnels across that gap. And when you create such a physical entity, it has very unusual current voltage characteristics. In that gap, like weird stuff happens. Through the entire circuit. So you can imagine, suppose you had a loop set up that had one of those weak links in the loop. Current would flow in that loop independent, even if you hadn't applied a voltage to it, and that's called the Josephson effect. So the fact that there's this phase difference in the quantum wave function from one side of the tunneling barrier to the other induces current to flow. So how does you change state? Right, exactly. So how do you change state? Now picture if I have a current bias coming down this line of my circuit and there's a Josephson junction right in the middle of it. And now I make another wire that goes around the Josephson junction. So I have a loop here, a superconducting loop. I can add current to that loop by exceeding the critical current of that Josephson junction. So like any superconducting material, it can carry this supercurrent that I've described, this current that can propagate without dissipation up to a certain level. And if you try and pass more current than that through the material, it's going to become a resistive material, normal material. So in the Josephson junction, the same thing happens. I can bias it above its critical current. And then what it's going to do, it's going to add a quantized amount of current into that loop. And what I mean by quantized is it's going to come in discrete packets with a well defined value of current. So in the vernacular of some people working in this community, you would say you pop a flux on into the loop. So a flux on. You pop a flux on into the loop. Yeah, so a flux on. Sounds like skateboarder talk, I love it. Okay, sorry, go ahead. A flux on is one of these quantized sort of amounts of current that you can add to a loop. And this is a cartoon picture, but I think it's sufficient for our purposes. So which, maybe it's useful to say, what is the speed at which these discrete packets of current travel? Because we'll be talking about light a little bit. It seems like the speed is important. The speed is important, that's an excellent question. Sometimes I wonder where you, how you became so astute. But so this. There's a picture and there's a horse in it, so you're done. But that's not a very interesting problem. I think when I think about intelligence, it's almost defined by the ability to handle problems where you don't know what your inputs are going to be and you don't even necessarily know what you're trying to accomplish. I mean, I'm not sure what I'm trying to accomplish in this world. Yeah, at all scales. Yeah, at all scales, right. I mean, so I'm more drawn to the underlying phenomena, the critical dynamics of this system, trying to understand how elements that you build into your hardware result in emergent fascinating activity that was very difficult to predict, things like that. So, but I gotta be really careful because I think a lot of other people who, if they found themselves working on this project in my shoes, they would say, all right, what are all the different ways we can use this for machine learning? Actually, let me just definitely mention colleague at NIST, Mike Schneider. He's also very much interested, particularly in the superconducting side of things, using the incredible speed, power efficiency, also Ken Seagal at Colgate, other people working on specifically the superconducting side of this for machine learning and deep feed forward neural networks. There, the advantages are obvious. It's extremely fast. Yeah, so that's less on the nature of intelligences and more on various characteristics of this hardware that you can use for the basic computation as we know it today and communication. One of the things that Mike Schneider's working on right now is an image classifier at a relatively small scale. I think he's targeting that nine pixel problem where you can have three different characters and you put in a nine pixel image and you classify it as one of these three categories. And that's gonna be really interesting to see what happens there, because if you can show that even at that scale, you just put these images in and you get it out and he thinks he can do it, I forgot if it's a nanosecond or some extremely fast classification time, it's probably less, it's probably a hundred picoseconds or something. There you have challenges though, because the Joseph's injunctions themselves, the electronic circuit is extremely power efficient. Some orders of magnitude for something more than a transistor doing the same thing, but when you have to cool it down to four Kelvin, you pay a huge overhead just for keeping it cold, even if it's not doing anything. So it has to work at large scale in order to overcome that power penalty, but that's possible. It's just, it's gonna have to get that performance. And this is sort of what you were asking about before is like how much better than silicon would it need to be? And the answer is, I don't know. I think if it's just overall better than silicon at a problem that a lot of people care about, maybe it's image classification, maybe it's facial recognition, maybe it's monitoring credit transactions, I don't know, then I think it will have a place. It's not gonna be in your cell phone, but it could be in your data center. So what about in terms of the data center, I don't know if you're paying attention to the various systems, like Tesla recently announced DOJO, which is a large scale machine learning training system, that again, the bottleneck there is probably going to be communication between those systems. Is there something from your work on everything we've been talking about in terms of superconductive hardware that could be useful there? Oh, I mean, okay, tomorrow, no. In the long term, it could be the whole thing. It could be nothing. I don't know, but definitely, definitely. When you look at the, so I don't know that much about DOJO. My understanding is that that's new, right? That's just coming online. Well, I don't even know where it hasn't come online. And when you announce big, sexy, so let me explain to you the way things work in the world of business and marketing. It's not always clear where you are on the coming online part of that. So I don't know where they are exactly, but the vision is from a ground up to build a very, very large scale, modular machine learning, ASIC, basically hardware that's optimized for training neural networks. And of course, there's a lot of companies that are small and big working on this kind of problem. The question is how to do it in a modular way that has very fast communication. The interesting aspect of Tesla is you have a company that at least at this time is so singularly focused on solving a particular machine learning problem and is making obviously a lot of money doing so because the machine learning problem happens to be involved with autonomous driving. So you have a system that's driven by an application. And that's really interesting because you have maybe Google working on TPUs and so on. You have all these other companies with ASICs. They're usually more kind of always thinking general. So I like it when it's driven by a particular application because then you can really get to the, it's somehow if you just talk broadly about intelligence, you may not always get to the right solutions. It's nice to couple that sometimes with specific clear illustration of something that requires general intelligence, which for me driving is one such case. I think you're exactly right. Sometimes just having that focus on that application brings a lot of people focuses their energy and attention. I think that, so one of the things that's appealing about what you're saying is not just that the application is specific, but also that the scale is big and that the benefit is also huge. Financial and to humanity. Right, right, right. Yeah, so I guess let me just try to understand is the point of this dojo system to figure out the parameters that then plug into neural networks and then you don't need to retrain, you just make copies of a certain chip that has all the other parameters established or? No, it's straight up retraining a large neural network over and over and over. So you have to do it once for every new car? No, no, you have to, so they do this interesting process, which I think is a process for machine learning, supervised machine learning systems you're going to have to do, which is you have a system, you train your network once, it takes a long time. I don't know how long, but maybe a week. Okay. To train. And then you deploy it on, let's say about a million cars. I don't know what the number is. But that part, you just write software that updates some weights in a table and yeah, okay. But there's a loop back. Yeah, yeah, okay. Each of those cars run into trouble, rarely, but they catch the edge cases of the performance of that particular system and then send that data back and either automatically or by humans, that weird edge case data is annotated and then the network has to become smart enough to now be able to perform in those edge cases, so it has to get retrained. There's clever ways of retraining different parts of that network, but for the most part, I think they prefer to retrain the entire thing. So you have this giant monster that kind of has to be retrained regularly. I think the vision with Dojo is to have a very large machine learning focused, driving focused supercomputer that then is sufficiently modular that can be scaled to other machine learning applications. So they're not limiting themselves completely to this particular application, but this application is the way they kind of test this iterative process of machine learning is you make a system that's very dumb, deploy it, get the edge cases where it fails, make it a little smarter, it becomes a little less dumb and that iterative process achieves something that you can call intelligent or is smart enough to be able to solve this particular application. So it has to do with training neural networks fast and training neural networks that are large. But also based on an extraordinary amount of diverse input. Data, yeah. And that's one of the things, so this does seem like one of those spaces where the scale of superconducting optoelectronics, the way that, so when you talk about the weaknesses, like I said, okay, well, you have to cool it down. At this scale, that's fine. Because that's not too much of an added cost. Most of your power is being dissipated by the circuits themselves, not the cooling. And also you have one centralized kind of cognitive hub, if you will. And so if we're talking about putting a superconducting system in a car, that's questionable. Do you really wanna cryostat in the trunk of everyone in your car? It'll fit, it's not that big of a deal, but hopefully there's a better way, right? But since this is sort of a central supreme intelligence or something like that, and it needs to really have this massive data acquisition, massive data integration, I would think that that's where large scale spiking neural networks with vast communication and all these things would have something pretty tremendous to offer. It's not gonna happen tomorrow. There's a lot of development that needs to be done. But we have to be patient with self driving cars for a lot of reasons. We were all optimistic that they would be here by now. And okay, they are to some extent, but if we're thinking five or 10 years down the line, it's not unreasonable. One other thing, let me just mention, getting into self driving cars and technologies that are using AI out in the world, this is something NIST cares a lot about. Elham Tabassi is leading up a much larger effort in AI at NIST than my little project. And really central to that mission is this concept of trustworthiness. So when you're going to deploy this neural network in every single automobile with so much on the line, you have to be able to trust that. So now how do we know that we can trust that? How do we know that we can trust the self driving car or the supercomputer that trained it? There's a lot of work there and there's a lot of that going on at NIST. And it's still early days. I mean, you're familiar with the problem and all that. But there's a fascinating dance in engineering with safety critical systems. There's a desire in computer science, just recently talked to Don Knuth, for algorithms and for systems, for them to be provably correct or provably safe. And this is one other difference between humans and biological systems is we're not provably anything. And so there's some aspect of imperfection that we need to have built in, like robustness to imperfection be part of our systems, which is a difficult thing for engineers to contend with. They're very uncomfortable with the idea that you have to be okay with failure and almost engineer failure into the system. Mathematicians hate it too. But I think it was Turing who said something along the lines of, I can give you an intelligent system or I can give you a flawless system, but I can't give you both. And it's in sort of creativity and abstract thinking seem to rely somewhat on stochasticity and not having components that perform exactly the same way every time. This is where like the disagreement I have with, not disagreement, but a different view on the world. I'm with Turing, but when I talk to robotic, robot colleagues, that sounds like I'm talking to robots, colleagues that are roboticists, the goal is perfection. And to me is like, no, I think the goal should be imperfection that's communicated. And through the interaction between humans and robots, that imperfection becomes a feature, not a bug. Like together, seen as a system, the human and the robot together are better than either of them individually, but the robot itself is not perfect in any way. Of course, there's a bunch of disagreements, including with Mr. Elon about, to me, autonomous driving is fundamentally a human robot interaction problem, not a robotics problem. To Elon, it's a robotics problem. That's actually an open and fascinating question, whether humans can be removed from the loop completely. We've talked about a lot of fascinating chemistry and physics and engineering, and we're always running up against this issue that nature seems to dictate what's easy and what's hard. So you have this cool little paper that I'd love to just ask you about. It's titled, Does Cosmological Evolution Select for Technology? So in physics, there's parameters that seem to define the way our universe works, that physics works, that if it worked any differently, we would get a very different world. So it seems like the parameters are very fine tuned to the kind of physics that we see. All the beautiful E equals MC squared, they would get these nice, beautiful laws. It seems like very fine tuned for that. So what you argue in this article is it may be that the universe has also fine tuned its parameters that enable the kind of technological innovation that we see, the technology that we see. Can you explain this idea? Yeah, I think you've introduced it nicely. Let me just try to say a few things in my language layout. What is this fine tuning problem? So physicists have spent centuries trying to understand the system of equations that govern the way nature behaves, the way particles move and interact with each other. And as that understanding has become more clear over time, it became sort of evident that it's all well adjusted to allow a universe like we see, very complex, this large, long lived universe. And so one answer to that is, well, of course it is because we wouldn't be here otherwise. But I don't know, that's not very satisfying. That's sort of, that's what's known as the weak anthropic principle. It's a statement of selection bias. We can only observe a universe that is fit for us to live in. So what does it mean for a universe to be fit for us to live in? Well, the pursuit of physics, it is based partially on coming up with equations that describe how things behave and interact with each other. But in all those equations you have, so there's the form of the equation, sort of how different fields or particles move in space and time. But then there are also the parameters that just tell you sort of the strength of different couplings. How strongly does a charged particle couple to the electromagnetic field or masses? How strongly does a particle couple to the Higgs field or something like that? And those parameters that define, not the general structure of the equations, but the relative importance of different terms, they seem to be every bit as important as the structure of the equations themselves. And so I forget who it was. Somebody, when they were working through this and trying to see, okay, if I adjust the parameter, this parameter over here, call it the, say the fine structure constant, which tells us the strength of the electromagnetic interaction. Oh boy, I can't change it very much. Otherwise nothing works. The universe sort of doesn't, it just pops into existence and goes away in a nanosecond or something like that. And somebody had the phrase, this looks like a put up job, meaning every one of these parameters was dialed in. It's arguable how precisely they have to be dialed in, but dialed in to some extent, not just in order to enable our existence, that's a very anthropocentric view, but to enable a universe like this one. So, okay, maybe I think the majority position of working physicists in the field is, it has to be that way in order for us to exist. We're here, we shouldn't be surprised that that's the way the universe is. And I don't know, for a while, that never sat well with me, but I just kind of moved on because there are things to do and a lot of exciting work. It doesn't depend on resolving this puzzle, but as I started working more with technology, getting into the more recent years of my career, particularly when I started, after having worked with silicon for a long time, which was kind of eerie on its own, but then when I switched over to superconductors, I was just like, this is crazy. It's just absolutely astonishing that our universe gives us superconductivity. It's one of the most beautiful physical phenomena and it's also extraordinarily useful for technology. So you can argue that the universe has to have the parameters it does for us to exist because we couldn't be here otherwise, but why does it give us technology? Why does it give us silicon that has this ideal oxide that allows us to make a transistor without trying that hard? That can't be explained by the same anthropic reasoning. Yeah, so it's asking the why question. I mean, a slight natural extension of that question is, I wonder if the parameters were different if we would simply have just another set of paint brushes to create totally other things that wouldn't look like anything like the technology of today, but would nevertheless have incredible complexity, which is if you sort of zoom out and start defining things, not by like how many batteries it needs and whether it can make toast, but more like how much complexity is within the system or something like that. Well, yeah, you can start to quantify things. You're exactly right. So nowhere am I arguing that in all of the vast parameter space of everything that could conceivably exist in the multiverse of nature, there's this one point in parameter space where complexity arises. I doubt it. That would be a shameful waste of resources, it seems. But it might be that we reside at one place in parameter space that has been adapted through an evolutionary process to allow us to make certain technologies that allow our particular kind of universe to arise and sort of achieve the things it does. See, I wonder if nature in this kind of discussion, if nature is a catalyst for innovation or if it's a ceiling for innovation. So like, is it going to always limit us? Like you're talking about silicon. Is it just make it super easy to do awesome stuff in a certain dimension, but we could still do awesome stuff in other ways, it'll just be harder? Or does it really set like the maximum we can do? That's a good thing to, that's a good subject to discuss. I guess I feel like we need to lay a little bit more groundwork. So I want to make sure that I introduce this in the context of Lee Smolin's previous idea. So who's Lee Smolin and what kind of ideas does he have? Okay, Lee Smolin is a theoretical physicist who back in the late 1980s published a paper in the early 1990s introduced this idea of cosmological natural selection, which argues that the universe did evolve. So his paper was called, did the universe evolve? And I gave myself the liberty of titling my paper does cosmological selection or does cosmological evolution select for technology in reference to that. So he introduced that idea decades ago. Now he primarily works on quantum gravity, loop quantum gravity, other approaches to unifying quantum mechanics with general relativity, as you can read about in his most recent book, I believe, and he's been on your show as well. So, but I want to introduce this idea of cosmological natural selection, because I think that is one of the core ideas that could change our understanding of how the universe got here, our role in it, what technology is doing here. But there's a couple more pieces that need to be set up first. So the beginning of our universe is largely accepted to be the big bang. And what that means is if you look back in time by looking far away in space, you see that everything used to be at one point and it expanded away from there. There was an era in the evolutionary process of our universe that was called inflation. And this idea was developed primarily by Alan Guth and others, Andre Linde and others in the 80s. And this idea of inflation is basically that when a singularity begins this process of growth, there can be a temporary stage where it just accelerates incredibly rapidly. And based on quantum field theory, this tells us that this should produce matter in precisely the proportions that we find of hydrogen and helium in the big bang, lithium too, lithium also, and other things too. So the predictions that come out of big bang inflationary cosmology have stood up extremely well to empirical verification, the cosmic microwave background, things like this. So most scientists working in the field think that the origin of our universe is the big bang. And I base all my thinking on that as well. I'm just laying this out there so that people understand that where I'm coming from is an extension, not a replacement of existing well founded ideas. In a paper, I believe it was 1986 with Alan Guth and another author Farhi, they wrote that a big bang, I don't remember the exact quote, a big bang is inextricably linked with a black hole. The singularity that we call our origin is mathematically indistinguishable from a black hole. They're the same thing. And Lee Smolin based his thinking on that idea, I believe, I don't mean to speak for him, but this is my reading of it. So what Lee Smolin will say is that a black hole in one universe is a big bang in another universe. And this allows us to have progeny, offspring. So a universe can be said to have come before another universe. And very crucially, Smolin argues, I think this is potentially one of the great ideas of all time, that's my opinion, that when a black hole forms, it's not a classical entity, it's a quantum gravitational entity. So it is subject to the fluctuations that are inherent in quantum mechanics, the properties, what we're calling the parameters that describe the physics of that system are subject to slight mutations so that the offspring universe does not have the exact same parameters defining its physics as its parent universe. They're close, but they're a little bit different. And so now you have a mechanism for evolution, for natural selection. So there's mutation, so there's, and then if you think about the DNA of the universe are the basic parameters that govern its laws. Exactly, so what Smolin said is our universe results from an evolutionary process that can be traced back some, he estimated, 200 million generations. Initially, there was something like a vacuum fluctuation that produced through random chance a universe that was able to reproduce just one. So now it had one offspring. And then over time, it was able to make more and more until it evolved into a highly structured universe with a very long lifetime, with a great deal of complexity and importantly, especially importantly for Lee Smolin, stars, stars make black holes. Therefore, we should expect our universe to be optimized, have its physical parameters optimized to make very large numbers of stars because that's how you make black holes and black holes make offspring. So we expect the physics of our universe to have evolved to maximize fecundity, the number of offspring. And the way Lee Smolin argues you do that is through stars that the biggest ones die in these core collapse supernova that make a black hole and a child. Okay, first of all, I agree with you that this is back to our fractal view of everything from intelligence to our universe. That is very compelling and a very powerful idea that unites the origin of life and perhaps the origin of ideas and intelligence. So from a Dawkins perspective here on earth, the evolution of those and then the evolution of the laws of physics that led to us. I mean, it's beautiful. And then you stacking on top of that, that maybe we are one of the offspring. Right, okay, so before getting into where I'd like to take that idea, let me just a little bit more groundwork. There is this concept of the multiverse and it can be confusing. Different people use the word multiverse in different ways. In the multiverse that I think is relevant to picture when trying to grasp Lee Smolin's idea, essentially every vacuum fluctuation can be referred to as a universe. It occurs, it borrows energy from the vacuum for some finite amount of time and it evanesces back into the quantum vacuum. And ideas of Guth before that and Andrei Linde with eternal inflation aren't that different that you would expect nature due to the quantum properties of the vacuum, which we know exist, they're measurable through things like the Casimir effect and others. You know that there are these fluctuations that are occurring. What Smolin is arguing is that there is this extensive multiverse, that this universe, what we can measure and interact with is not unique in nature. It's just our residents, it's where we reside. And there are countless, potentially infinity other universes, other entire evolutionary trajectories that have evolved into things like what you were mentioning a second ago with different parameters and different ways of achieving complexity and reproduction and all that stuff. So it's not that the evolutionary process is a funnel towards this end point, not at all. Just like the biological evolutionary process that has occurred within our universe is not a unique route toward achieving one specific chosen kind of species. No, we have extraordinary diversity around us. That's what evolution does. And for any one species like us, you might feel like we're at the center of this process. We're the destination of this process, but we're just one of the many nearly infinite branches of this process. And I suspect it is exactly infinite. I mean, I just can't understand how with this idea, you can ever draw a boundary around it and say, no, the universe, I mean, the multiverse has 10 to the one quadrillion components, but not infinity. I don't know that. Well, yeah, I have cognitively incapable as I think all of us are and truly understanding the concept of infinity. And the concept of nothing as well. And nothing, but also the concept of a lot is pretty difficult. I can just, I can count. I run out of fingers at a certain point and then you're screwed. And when you're wearing shoes and you can't even get down to your toes, it's like. It's like, all right, a thousand fine, a million. Is that what? And then it gets crazier and crazier. Right, right. So this particular, so when we say technology, by the way, I mean, there's some, not to over romanticize the thing, but there is some aspect about this branch of ours that allows us to, for the universe to know itself. Yes, yes. So to be, to have like little conscious cognitive fingers that are able to feel like to scratch the head. Right, right, right. To be able to construct E equals MC squared and to introspect, to start to gain some understanding of the laws that govern it. Isn't that, isn't that kind of amazing? Okay, I'm just human, but it feels like that, if I were to build a system that does this kind of thing, that evolves laws of physics, that evolves life, that evolves intelligence, that my goal would be to come up with things that are able to think about itself. Right, aren't we kind of close to the design specs, the destination? We're pretty close, I don't know. I mean, I'm spending my career designing things that I hope will think about themselves, so you and I aren't too far apart on that one. But then maybe that problem is a lot harder than we imagine. Maybe we need to. Let's not get, let's not get too far because I want to emphasize something that, what you're saying is, isn't it fascinating that the universe evolved something that can be conscious, reflect on itself? But Lee Smolin's idea didn't take us there, remember? It took us to stars. Lee Smolin has argued, I think, right on almost every single way that cosmological natural selection could lead to a universe with rich structure. And he argued that the structure, the physics of our universe is designed to make a lot of stars so that they can make black holes. But that doesn't explain what we're doing here. In order for that to be an explanation of us, what you have to assume is that once you made that universe that was capable of producing stars, life, planets, all these other things, we're along for the ride. They got lucky. We're kind of arising, growing up in the cracks, but the universe isn't here for us. We're still kind of a fluke in that picture. And I can't, I don't necessarily have like a philosophical opposition to that stance. It's just not, okay, so I don't think it's complete. So it seems like whatever we got going on here to you, it seems like whatever we have here on earth seems like a thing you might want to select for in this whole big process. Exactly. So if what you are truly, if your entire evolutionary process only cares about fecundity, it only cares about making offspring universes because then there's gonna be the most of them in that local region of hyperspace, which is the set of all possible universes, let's say. You don't care how those universes are made. You know they have to be made by black holes. This is what inflationary theory tells us. The big bang tells us that black holes make universes. But what if there was a technological means to make universes? Stars require a ton of matter because they're not thinking very carefully about how you make a black hole. They're just using gravity, you know? But if we devise technologies that can efficiently compress matter into a singularity, it turns out that if you can compress about 10 kilograms into a very small volume, that will make a black hole that is likely highly probable to inflate into its own offspring universe. This is according to calculations done by other people who are professional quantum theorists, quantum field theorists, and I hope I am grasping what they're telling me correctly. I am somewhat of a translator here. But so that's the position that is particularly intriguing to me, which is that what might have happened is that, okay, this particular branch on the vast tree of evolution, cosmological evolution that we're talking about, not biological evolution within our universe, but cosmological evolution, went through exactly the process that Elise Mullen described, got to the stage where stars were making lots of black holes but then continued to evolve and somehow bridged that gap and made intelligence and intelligence capable of devising technologies because technologies, intelligent species working in conjunction with technologies could then produce even more. Yeah, more efficiently, more faster and better and more different. Then you start to have different kind of mechanisms and mutation perhaps, all that kind of stuff. And so if you do a simple calculation that says, all right, if I want to, we know roughly how many core collapse supernovae have resulted in black holes in our galaxy since the beginning of the universe and it's something like a billion. So then you would have to estimate that it would be possible for a technological civilization to produce more than a billion black holes with the energy and matter at their disposal. And so one of the calculations in that paper, back of the envelope, but I think revealing nonetheless is that if you take a relatively common asteroid, something that's about a kilometer in diameter, what I'm thinking of is just scrap material laying around in our solar system and break it up into 10 kilogram chunks and turn each of those into a universe, then you would have made at least a trillion black holes outpacing the star production rate by some three orders of magnitude. That's one asteroid. So now if you envision an intelligent species that would potentially have been devised initially by humans, but then based on superconducting optoelectronic networks, no doubt, and they go out and populate, they don't have to fill the galaxy. They just have to get out to the asteroid belt. They could potentially dramatically outpace the rate at which stars are producing offspring universes. And then wouldn't you expect that that's where we came from instead of a star? Yeah, so you have to somehow become masters of gravity, so like, or generate. John, this is really gravity. So stars make black holes with gravity, but any force that can make the energy density can compactify matter to produce a great enough energy density can form a singularity. It doesn't, it would not likely be gravity. It's the weakest force. You're more likely to use something like the technologies that we're developing for fusion, for example. So I don't know, the Large Ignition Facility recently blasted a pellet with 100 really bright lasers and caused that to get dense enough to engage in nuclear fusion. So something more like that, or a tokamak with a really hot plasma, I'm not sure. Something, I don't know exactly how it would be done. I do like the idea of that, especially just been reading a lot about gravitational waves and the fact that us humans with our technological capabilities, one of the most impressive technological accomplishments of human history is LIGO, being able to precisely detect gravitational waves. I'm particularly find appealing the idea that other alien civilizations from very far distances communicate with gravity, with gravitational waves, because as you become greater and greater master of gravity, which seems way out of reach for us right now, maybe that seems like a effective way of sending signals, especially if your job is to manufacture black holes. Right. So that, so let me ask there, whatever, I mean, broadly thinking, because we tend to think other alien civilizations would be very human like, but if we think of alien civilizations out there as basically generators of black holes, however they do it, because they got stars, do you think there's a lot of them in our particular universe out there? In our universe? Well, okay, let me ask, okay, this is great. Let me ask a very generic question and then let's see how you answer it, which is how many alien civilizations are out there? If the hypothesis that I just described is on the right track, it would mean that the parameters of our universe have been selected so that intelligent civilizations will occur in sufficient numbers so that if they reach something like supreme technological maturity, let's define that as the ability to produce black holes, then that's not a highly improbable event. It doesn't need to happen often because as I just described, if you get one of them in a galaxy, you're gonna make more black holes than the stars in that galaxy. But there's also not a super strong motivation, well, it's not obvious that you need them to be ubiquitous throughout the galaxy. Right. One of the things that I try to emphasize in that paper is that given this idea of how our parameters might've been selected, it's clear that it's a series of trade offs, right? If you make, I mean, in order for intelligent life of our variety or anything resembling us to occur, you need a bunch of stuff, you need stars. So that's right back to Smolin's roots of this idea, but you also need water to have certain properties. You need things like the rocky planets, like the Earth to be within the habitable zone, all these things that you start talking about in the field of astrobiology, trying to understand life in the universe, but you can't over emphasize, you can't tune the parameters so precisely to maximize the number of stars or to give water exactly the properties or to make rocky planets like Earth the most numerous. You have to compromise on all these things. And so I think the way to test this idea is to look at what parameters are necessary for each of these different subsystems, and I've laid out a few that I think are promising, there could be countless others, and see how changing the parameters makes it more or less likely that stars would form and have long lifetimes or that rocky planets in the habitable zone are likely to form, all these different things. So we can test how much these things are in a tug of war with each other, and the prediction would be that we kind of sit at this central point where if you move the parameters too much, stars aren't stable, or life doesn't form, or technology's infeasible, because life alone, at least the kind of life that we know of, cannot make black holes. We don't have this, well, I'm speaking for myself, you're a very fit and strong person, but it might be possible for you, but not for me to compress matter. So we need these technologies, but we don't know, we have not been able to quantify yet how finely adjusted the parameters would need to be in order for silicon to have the properties it does. Okay, this is not directly speaking to what you're saying, you're getting to the Fermi paradox, which is where are they, where are the life forms out there, how numerous are they, that sort of thing. What I'm trying to argue is that if this framework is on the right track, a potentially correct explanation for our existence, we, it doesn't necessarily predict that intelligent civilizations are just everywhere, because even if you just get one of them in a galaxy, which is quite rare, it could be enough to dramatically increase the fecundity of the universe as a whole. Yeah, and I wonder, once you start generating the offspring for universes, black holes, how that has effect on the, what kind of effect does it have on the other candidate's civilizations within that universe? Maybe it has a destructive aspect, or there could be some arguments about once you have a lot of offspring, that that just quickly accelerates to where the other ones can't even catch up. It could, but I guess if you want me to put my chips on the table or whatever, I think I come down more on the side that intelligent life civilizations are rare. And I guess I follow Max Tegmark here. And also there's a lot of papers coming out recently in the field of astrobiology that are seeming to say, all right, you just work through the numbers on some modified Drake equation or something like that. And it looks like it's not improbable. You shouldn't be surprised that an intelligent species has arisen in our galaxy, but if you think there's one the next solar system over, it's highly improbable. So I can see that the number, the probability of finding a civilization in a galaxy, maybe it's most likely that you're gonna find one to a hundred or something. But okay, now it's really important to put a time window on that, I think, because does that mean in the entire lifetime of the galaxy before it, so for in our case, before we run into Andromeda, I think it's highly probable, I shouldn't say I think, it's tempting to believe that it's highly probable that in that entire lifetime of your galaxy, you're gonna get at least one intelligent species, maybe thousands or something like that. But it's also, I think, a little bit naive to think that they're going to coincide in time and we'll be able to observe them. And also, if you look at the span of life on Earth, the Earth history, it was surprising to me to kind of look at the amount of time, first of all, the short amount of time, there's no life, it's surprising. Life sprang up pretty quickly. It's single cell. But that's the point I'm trying to make is like so much of life on Earth was just like single cell organisms, like most of it. Most of it was like boring bacteria type of stuff. Well, bacteria are fascinating, but I take your point. No, I get it. I mean, no offense to them. But this kind of speaking from the perspective of your paper of something that's able to generate technology as we kind of understand it, that's a very short moment in time relative to that full history of life on Earth. And maybe our universe is just saturated with bacteria like humans. Right. But not the special extra AGI super humans, that those are very rare. And once those spring up, everything just goes to like, it accelerates very quickly. Yeah, we just don't have enough data to really say, but I find this whole subject extremely engaging. I mean, there's this concept, I think it's called the Rare Earth Hypothesis, which is that basically stating that, okay, microbes were here right away after the Hadian era where we were being bombarded. Well, after, yeah, bombarded by comets, asteroids, things like that, and also after the moon formed. So once things settled down a little bit, in a few hundred million years, you have microbes everywhere. And it could have been, we don't know exactly when it could have been remarkably brief that that took. So it does indicate that, okay, life forms relatively easily. I think that alone is sort of a checker on the scale for the argument that the parameters that allow even microbial life to form are not just a fluke. But anyway, that aside, yes, then there was this long dormant period, not dormant, things were happening, but important things were happening for some two and a half billion years or something after the metabolic process that releases oxygen was developed. Then basically the planet's just sitting there, getting more and more oxygenated, more and more oxygenated until it's enough that you can build these large, complex organisms. And so the Rare Earth Hypothesis would argue that the microbes are common everywhere in any planet that's roughly in the habitable zone and has some water on it, it's probably gonna have those. But then getting to this Cambrian explosion that happened some between 500 and 600 million years ago, that's rare, you know? And I buy that, I think that is rare. So if you say how much life is in our galaxy, I think that's probably the right answer is that microbes are everywhere. Cambrian explosion is extremely rare. And then, but the Cambrian explosion kind of went like that where within a couple of tens or a hundred million years, all of these body plans came into existence. And basically all of the body plans that are now in existence on the planet were formed in that brief window and we've just been shuffling around since then. So then what caused humans to pop out of that? I mean, that could be another extremely rare threshold that a planet roughly in the habitable zone with water is not guaranteed to cross, you know? To me, it's fascinating for being humble, like the humans cannot possibly be the most amazing thing that such, if you look at the entirety of the system that Lee Smolin and you paint, that cannot possibly be the most amazing thing that process generates. So like, if you look at the evolution, what's the equivalent in the cosmological evolution and its selection for technology, the equivalent of the human eye or the human brain? Universes that are able to do some like, they don't need the damn stars. They're able to just do some incredible generation of complexity fast, like much more than, if you think about it, it's like most of our universe is pretty freaking boring. There's not much going on, there's a few rocks flying around and there's some like apes that are just like doing podcasts on some weird planet. It just seems very inefficient. If you think about like the amazing thing in the human eye, the visual cortex can do, the brain, the nervous, everything that makes us more powerful than single cell organisms. Like if there's an equivalent of that for universes, like the richness of physics that could be expressed through a particular set of parameters. Like, I mean, like for me, I'm a sort of from a computer science perspective, huge fan of cellular automata, which is a nice sort of pretty visual way to illustrate how different laws can result in drastically different levels of complexity. So like, it's like, yeah, okay. So we're all like celebrating, look, our little cellular automata is able to generate pretty triangles and squares and therefore we achieve general intelligence. And then there'll be like some badass Chuck Norris type, like universal Turing machine type of cellular automata. They're able to generate other cellular automata that does any arbitrary level of computation off the bat. Like those have to then exist. And then we're just like, we'll be forgotten. This story, this podcast just entertains a few other apes for a few months. Well, I'm kind of surprised to hear your cynicism. No, I'm very up. I usually think of you as like one who celebrates humanity and all its forms and things like that. And I guess I just, I don't, I see it the way you just described. I mean, okay, we've been here for 13.7 billion years and you're saying, gosh, that's a long time. Let's get on with the show already. Some other universe could have kicked our butt by now, but that's putting a characteristic time. I mean, why is 13.7 billion a long time? I mean, compared to what? I guess, so when I look at our universe, I see this extraordinary hierarchy that has developed over that time. So at the beginning, it was a chaotic mess of some plasma and nothing interesting going on there. And even for the first stars to form, that a lot of really interesting evolutionary processes had to occur, by evolutionary in that sense, I just mean taking place over extended periods of time and structures are forming then. And then it took that first generation of stars in order to produce the metals that then can more efficiently produce another generation of stars. We're only the third generation of stars. So we might still be pretty quick to the game here. So, but I don't think, I don't, okay. So then you have these stars and then you have solar systems on those solar systems. You have rocky worlds, you have gas giants, like all this complexity. And then you start getting life and the complexity that's evolved through the evolutionary process in life forms is just, it's not a let down to me. Just seeing that. Some of it is like some of the planets is like icy, it's like different flavors of ice cream. They're icy, but there might be water underneath. All kinds of life forms with some volcanoes, all kinds of weird stuff. No, no, I don't, I think it's beautiful. I think our life is beautiful. And I think it was designed that by design, the scarcity of the whole thing. I think mortality, as terrifying as it is, is fundamental to the whole reason we enjoy everything. No, I think it's beautiful. I just think that all of us conscious beings in the grand scheme of basically every scale will be completely forgotten. Well, that's true. I think everything is transient and that would go back to maybe something more like Lao Tzu, the Tao Te Ching or something where it's like, yes, there is nothing but change. There is nothing but emergence and dissolve and that's it. But I just, in this picture, this hierarchy that's developed, I don't mean to say that now it gets to us and that's the pinnacle. In fact, I think at a high level, the story I'm trying to tease out in my research is about, okay, well, so then what's the next level of hierarchy? And if it's, okay, we're kind of pretty smart. I mean, talking about people like Lee Small and Alan Guth, Max Tegmark, okay, we're really smart. Talking about me, okay, we're kind of, we can find our way to the grocery store or whatever, but what's next? I mean, what if there's another level of hierarchy that grows on top of us that is even more profoundly capable? And I mean, we've talked a lot about superconducting sensors. Imagine these cognitive systems far more capable than us residing somewhere else in the solar system off of the surface of the earth, where it's much darker, much colder, much more naturally suited to them. And they have these sensors that can detect single photons of light from radio waves out to all across the spectrum of the gamma rays and just see the whole universe. And they just live in space with these massive collection optics so that they, what do they do? They just look out and experience that vast array of what's being developed. And if you're such a system, presumably you would do some things for fun. And the kind of fun thing I would do as somebody who likes video games is I would create and maintain and observe something like earth. So in some sense, we're like all what players on a stage for this superconducting cold computing system out there. I mean, all of this is fascinating to think. The fact that you're actually designing systems here on earth that are trying to push this technological at the very cutting edge and also thinking about how does the like the evolution of physical laws lead us to the way we are is fascinating. That coupling is fascinating. It's like the ultimate rigorous application of philosophy to the rigorous application of engineering. So Jeff, you're one of the most fascinating. I'm so glad I did not know much about you except through your work. And I'm so glad we got this chance to talk. You're one of the best explainers of exceptionally difficult concepts. And you're also, speaking of like fractal, you're able to function intellectually at all levels of the stack, which I deeply appreciate. This was really fun. You're a great educator, a great scientist. It's an honor that you would spend your valuable time with me. It's an honor that you would spend your time with me as well. Thanks, Jeff. Thanks for listening to this conversation with Jeff Schoenlein. To support this podcast, please check out our sponsors in the description. And now let me leave you with some words from the great John Carmack, who surely will be a guest on this podcast soon. Because of the nature of Moore's Law, anything that an extremely clever graphics programmer can do at one point can be replicated by a merely competent programmer some number of years later. Thank you for listening and hope to see you next time. Matrix 4 is coming out, so maybe that's related. I'm not sure. I'm dressed for the job. I was trying to get to become an extra on Matrix 4, didn't work out. Anyway, so what's the speed of these packets? You'll have to find another gig. I know, I'm sorry. So the speed of the pack is actually these flux ons, these sort of pulses of current that are generated by Joseph's injunctions, they can actually propagate very close to the speed of light, maybe something like a third of the speed of light. That's quite fast. So one of the reasons why Joseph's injunctions are appealing is because their signals can propagate quite fast and they can also switch very fast. What I mean by switch is perform that operation that I described where you add current to the loop. That can happen within a few tens of picoseconds. So you can get devices that operate in the hundreds of gigahertz range. And by comparison, most processors in our conventional computers operate closer to the one gigahertz range, maybe three gigahertz seems to be kind of where those speeds have leveled out. The gamers listening to this are getting really excited to overclock their system to like, what is it? Like four gigahertz or something, a hundred sounds incredible. Can I just as a tiny tangent, is the physics of this understood well how to do this stably? Oh yes, the physics is understood well. The physics of Joseph's injunctions is understood well. The technology is understood quite well too. The reasons why it hasn't displaced silicon microelectronics in conventional digital computing I think are more related to what I was alluding to before about the myriad practical, almost mundane aspects of silicon that make it so useful. You can make a transistor ever smaller and smaller and it will still perform its digital function quite well. The same is not true of a Joseph's injunction. You really, they don't, they just, it's not the same thing that there's this feature that you can keep making smaller and smaller and it'll keep performing the same operations. This loop I described, any Joseph's in circuit, well, I wanna be careful, I shouldn't say any Joseph's in circuit, but many Joseph's in circuits, the way they process information or the way they perform whatever function it is they're trying to do, maybe it's sensing a weak magnetic field, it depends on an interplay between the junction and that loop. And you can't make that loop much smaller. And it's not for practical reasons that have to do with lithography. It's for fundamental physical reasons about the way the magnetic field interacts with that superconducting material. There are physical limits that no matter how good our technology got, those circuits would, I think would never be able to be scaled down to the densities that silicon microelectronics can. I don't know if we mentioned, is there something interesting about the various superconducting materials involved or is it all? There's a lot of stuff that's interesting. And it's not silicon. It's not silicon, no. So like it's some materials that also required to be super cold, four Kelvin and so on. So let's dissect a couple of those different things. The super cold part, let me just mention for your gamers out there that are trying to clock it at four gigahertz and would love to go to 400. What kind of cooling system can achieve four Kelvin? Four Kelvin, you need liquid helium. And so liquid helium is expensive. It's inconvenient. You need a cryostat that sits there and the energy consumption of that cryostat is impracticable for, it's not going in your cell phone. So you can picture holding your cell phone like this and then something the size of a keg of beer or something on your back to cool it. Like that makes no sense. So if you're trying to make this in consumer devices, electronics that are ubiquitous across society, superconductors are not in the race for that. For now, but you're saying, so just to frame the conversation, maybe the thing we're focused on is computing systems that serve as servers, like large. Yes, large systems. So then you can contrast what's going on in your cell phone with what's going on at one of the supercomputers. Colleague Katie Schuman invited us out to Oak Ridge a few years ago, so we got to see Titan and that was when they were building Summit. So these are some high performance supercomputers out in Tennessee and those are filling entire rooms the size of warehouses. So once you're at that level, okay, there you're already putting a lot of power into cooling. Cooling is part of your engineering task that you have to deal with. So there it's not entirely obvious that cooling to four Kelvin is out of the question. It has not happened yet and I can speak to why that is in the digital domain if you're interested. I think it's not going to happen. I don't think superconductors are gonna replace semiconductors for digital computation. There are a lot of reasons for that, but I think ultimately what it comes down to is all things considered cooling errors, scaling down to feature sizes, all that stuff, semiconductors work better at the system level. Is there some aspect of just curious about the historical momentum of this? Is there some power to the momentum of an industry that's mass manufacturing using a certain material? Is this like a Titanic shifting? Like what's your sense when a good idea comes along, how good does that idea need to be for the Titanic to start shifting? That's an excellent question. That's an excellent way to frame it. And you know, I don't know the answer to that, but what I think is, okay, so the history of the superconducting logic goes back to the 70s. IBM made a big push to do superconducting digital computing in the 70s. And they made some choices about their devices and their architectures and things that in hindsight, were kind of doomed to fail. And I don't mean any disrespect for the people that did it, it was hard to see at the time. But then another generation of superconducting logic was introduced, I wanna say the 90s, someone named Lykarev and Seminov, they proposed an entire family of circuits based on Joseph's injunctions that are doing digital computing based on logic gates and or not these kinds of things. And they showed how it could go hundreds of times faster than silicon microelectronics. And it's extremely exciting. I wasn't working in the field at that time, but later when I went back and read the literature, I was just like, wow, this is so awesome. And so you might think, well, the reason why it didn't display silicon is because silicon already had so much momentum at that time. But that was the 90s. Silicon kept that momentum because it had the simple way to keep getting better. You just make features smaller and smaller. So it would have to be, I don't think it would have to be that much better than silicon to displace it. But the problem is it's just not better than silicon. It might be better than silicon in one metric, speed of a switching operation or power consumption of a switching operation. But building a digital computer is a lot more than just that elemental operation. It's everything that goes into it, including the manufacturing, including the packaging, including the various materials aspects of things. So the reason why, and even in some of those early papers, I can't remember which one it was, Lykarev said something along the lines of, you can see how we could build an entire family of digital electronic circuits based on these components. They could go a hundred or more times faster than semiconductor logic gates. But I don't think that's the right way to use superconducting electronic circuits. He didn't say what the right way was, but he basically said digital logic, trying to steal the show from silicon is probably not what these circuits are most suited to accomplish. So if we can just linger and use the word computation. When you talk about computation, how do you think about it? Do you think purely on just the switching, or do you think something a little bit larger scale, a circuit taken together, performing the basic arithmetic operations that are then required to do the kind of computation that makes up a computer? Because when we talk about the speed of computation, is it boiled down to the basic switching, or is there some bigger picture that you're thinking about? Well, all right, so maybe we should disambiguate. There are a variety of different kinds of computation. I don't pretend to be an expert in the theory of computation or anything like that. I guess it's important to differentiate though between digital logic, which represents information as a series of bits, binary digits, which you can think of them as zeros and ones or whatever. Usually they correspond to a physical system that has two very well separated states. And then other kinds of computation, like we'll get into more the way your brain works, which it is, I think, indisputably processing information, but where the computation begins and ends is not anywhere near as well defined. It doesn't depend on these two levels. Here's a zero, here's a one. There's a lot of gray area that's usually referred to as analog computing. Also in conventional digital computers or digital computers in general, you have a concept of what's called arithmetic depth, which is jargon that basically means how many sequential operations are performed to turn an input into an output. And those kinds of computations in digital systems are highly serial, meaning that data streams, they don't branch off too far to the side. You do, you have to pull some information over there and access memory from here and stuff like that. But by and large, the computation proceeds in a serial manner. It's not that way in the brain. In the brain, you're always drawing information from different places. It's much more network based computing. Neurons don't wait for their turn. They fire when they're ready to fire. And so it's asynchronous. So one of the other things about a digital system is you're performing these operations on a clock. And that's a crucial aspect of it. Get rid of a clock in a digital system, nothing makes sense anymore. The brain has no clock. It builds its own timescales based on its internal activity. So you can think of the brain as kind of like this, like network computation, where it's actually really trivial, simple computers, just a huge number of them and they're networked. I would say it is complex, sophisticated little processors and there's a huge number of them. Neurons are not, are not simple. I don't mean to offend neurons. They're very complicated and beautiful and yeah, but we often oversimplify them. Yes, they're actually like there's computation happening within a neuron. Right, so I would say to think of a transistor as the building block of a digital computer is accurate. You use a few transistors to make your logic gates. You build up more, you build up processors from logic gates and things like that. So you can think of a transistor as a fundamental building block, or you can think of, as we get into more highly parallelized architectures, you can think of a processor as a fundamental building block. To make the analogy to the neuro side of things, a neuron is not a transistor. A neuron is a processor. It has synapses, even synapses are not transistors, but they are more, they're lower on the information processing hierarchy in a sense. They do a bulk of the computation, but neurons are entire processors in and of themselves that can take in many different kinds of inputs on many different spatial and temporal scales and produce many different kinds of outputs so that they can perform different computations in different contexts. So this is where enters this distinction between computation and communication. So you can think of neurons performing computation and the inter, the networking, the interconnectivity of neurons is communication between neurons. And you see this with very large server systems. I've been, I mentioned offline, we've been talking to Jim Keller, whose dream is to build giant computers that, you know, the bottom like there is often the communication between the different pieces of computing. So in this paper that we mentioned, Optoelectronic Intelligence, you say electrons excel at computation while light is excellent for communication. Maybe you can linger and say in this context, what do you mean by computation and communication? What are electrons, what is light and why do they excel at those two tasks? Yeah, just to first speak to computation versus communication, I would say computation is essentially taking in some information, performing operations on that information and producing new, hopefully more useful information. So for example, imagine you have a picture in front of you and there is a key in it and that's what you're looking for, for whatever reason, you wanna find the key, we all wanna find the key. So the input is that entire picture and the output might be the coordinates where the key is. So you've reduced the total amount of information you have but you found the useful information for you in that present moment, that's the useful information. And you think about this computation as the controlled synchronous sequential? Not necessarily, it could be, that could be how your system is performing the computation or it could be asynchronous, there are lots of ways to find the key. It depends on the nature of the data, it depends on, that's a very simplified example, a picture with a key in it, what about if you're in the world and you're trying to decide the best way to live your life? It might be interactive, it might be there might be some recurrence or some weird asynchrony, I got it. But there's an input and there's an output and you do some stuff in the middle that actually goes from the input to the output. You've taken in information and output different information, hopefully reducing the total amount of information and extracting what's useful. Communication is then getting that information from the location at which it's stored because information is physical as Landauer emphasized and so it is in one place and you need to get that information to another place so that something else can use it for whatever computation it's working on. Maybe it's part of the same network and you're all trying to solve the same problem but neuron A over here just deduced something based on its inputs and it's now sending that information across the network to another location so that would be the act of communication. Can you linger on Landauer and saying information is physical? Rolf Landauer, not to be confused with Lev Landauer. Yeah, and he made huge contributions to our understanding of the reversibility of information and this concept that energy has to be dissipated in computing when the computation is irreversible but if you can manage to make it reversible then you don't need to expend energy but if you do expend energy to perform a computation there's sort of a minimal amount that you have to do and it's KT log two. And it's all somehow related to the second law of thermodynamics and that the universe is an information process and then we're living in a simulation. So okay, sorry, sorry for that tangent. So that's the defining the distinction between computation and communication. Let me say one more thing just to clarify. Communication ideally does not change the information. It moves it from one place to another but it is preserved. Got it, okay. All right, that's beautiful. So then the electron versus light distinction and why are electrons good at computation and light good at communication? Yes, there's a lot that goes into it I guess but just try to speak to the simplest part of it. Electrons interact strongly with one another. They're charged particles. So if I pile a bunch of them over here they're feeling a certain amount of force and they wanna move somewhere else. They're strongly interactive. You can also get them to sit still. You can, an electron has a mass so you can cause it to be spatially localized. So for computation that's useful because now I can make these little devices that put a bunch of electrons over here and then I change the state of a gate like I've been describing, put a different voltage on this gate and now I move the electrons over here. Now they're sitting somewhere else. I have a physical mechanism with which I can represent information. It's spatially localized and I have knobs that I can adjust to change where those electrons are or what they're doing. Light by contrast, photons of light which are the discrete packets of energy that were identified by Einstein, they do not interact with each other especially at low light levels. If you're in a medium and you have a bright high light level you can get them to interact with each other through the interaction with that medium that they're in but that's a little bit more exotic. And for the purposes of this conversation we can assume that photons don't interact with each other. So if you have a bunch of them all propagating in the same direction they don't interfere with each other. If I wanna send, if I have a communication channel and I put one more photon on it, it doesn't screw up with those other ones. It doesn't change what those other ones were doing at all. So that's really useful for communication because that means you can sort of allow a lot of these photons to flow without disruption of each other and they can branch really easily and things like that. But it's not good for computation because it's very hard for this packet of light to change what this packet of light is doing. They pass right through each other. So in computation you want to change information and if photons don't interact with each other it's difficult to get them to change the information represented by the others. So that's the fundamental difference. Is there also something about the way they travel through different materials or is that just a particular engineering? No, it's not, that's deep physics I think. So this gets back to electrons interact with each other and photons don't. So say I'm trying to get a packet of information from me to you and we have a wire going between us. In order for me to send electrons across that wire I first have to raise the voltage on my end of the wire and that means putting a bunch of charges on it and then that charge packet has to propagate along the wire and it has to get all the way over to you. That wire is gonna have something that's called capacitance which basically tells you how much charge you need to put on the wire in order to raise the voltage on it and the capacitance is gonna be proportional to the length of the wire. So the longer the length of the wire is the more charge I have to put on it and the energy required to charge up that line and move those electrons to you is also proportional to the capacitance and goes as the voltage squared. So you get this huge penalty if you wanna send electrons across a wire over appreciable distances. So distance is an important thing here when you're doing communication. Distance is an important thing. So is the number of connections I'm trying to make. Me to you, okay one, that's not so bad. If I want to now send it to 10,000 other friends then all of those wires are adding tons of extra capacitance. Now not only does it take forever to put the charge on that wire and raise the voltage on all those lines but it takes a ton of power and the number 10,000 is not randomly chosen. That's roughly how many connections each neuron in your brain makes. So a neuron in your brain needs to send 10,000 messages every time it has something to say. You can't do that if you're trying to drive electrons from here to 10,000 different places. The brain does it in a slightly different way which we can discuss. How can light achieve the 10,000 connections and why is it better? In terms of like the energy use required to use light for the communication of the 10,000 connections. Right, right. So now instead of trying to send electrons from me to you, I'm trying to send photons. So I can make what's called a wave guide which is just a simple piece of a material. It could be glass like an optical fiber or silicon on a chip. And I just have to inject photons into that wave guide and independent of how long it is, independent of how many different connections I'm making, it doesn't change the voltage or anything like that that I have to raise up on the wire. So if I have one more connection, if I add additional connections, I need to add more light to the wave guide because those photons need to split and go to different paths. That makes sense but I don't have a capacitive penalty. Sometimes these are called wiring parasitics. There are no parasitics associated with light in that same sense. So this might be a dumb question but how do I catch a photon on the other end? Is it material? Is it the polymer stuff you were talking about for a different application for photolithography? Like how do you catch a photon? There's a lot of ways to catch a photon. It's not a dumb question. It's a deep and important question that basically defines a lot of the work that goes on in our group at NIST. One of my group leaders, Seywoon Nam, has built his career around these superconducting single photon detectors. So if you're going to try to sort of reach a lower limit and detect just one particle of light, superconductors come back into our conversation and just picture a simple device where you have current flowing through a superconducting wire and... A loop again or no? Let's say yes, you have a loop. So you have a superconducting wire that goes straight down like this and on your loop branch, you have a little ammeter, something that measures current. There's a resistor up there too. Go with me here. So your current biasing this, so there's current flowing through that superconducting branch. Since there's a resistor over here, all the current goes through the superconducting branch. Now a photon comes in, strikes that superconductor. We talked about this superconducting macroscopic quantum state. That's going to be destroyed by the energy of that photon. So now that branch of the circuit is resistive too. And you've properly designed your circuit so that the resistance on that superconducting branch is much greater than the other resistance. Now all of your current's going to go that way. Your ammeter says, oh, I just got a pulse of current. That must mean I detected a photon. Then where you broke that superconductivity in a matter of a few nanoseconds, it cools back off, dissipates that energy and the current flows back through that superconducting branch. This is a very powerful superconducting device that allows us to understand quantum states of light. I didn't realize a loop like that could be sensitive to a single photon. I mean, that seems strange to me because, I mean, so what happens when you just barrage it with photons? If you put a bunch of photons in there, essentially the same thing happens. You just drive it into the normal state, it becomes resistive and it's not particularly interesting. So you have to be careful how many photons you send. Like you have to be very precise with your communication. Well, it depends. So I would say that that's actually in the application that we're trying to use these detectors for. That's a feature because what we want is for, if a neuron sends one photon to a synaptic connection and one of these superconducting detectors is sitting there, you get this pulse of current. And that synapse says event, then I'm gonna do what I do when there's a synapse event, I'm gonna perform computations, that kind of thing. But if accidentally you send two there or three or five, it does the exact same. Got it. And so this is how in the system that we're devising here, communication is entirely binary. And that's what I tried to emphasize a second ago. Communication should not change the information. You're not saying, oh, I got this kind of communication event for photons. No, we're not keeping track of that. This neuron fired, this synapse says that neuron fired, that's it. So that's a noise filtering property of those detectors. However, there are other applications where you'd rather know the exact number of photons that can be very useful in quantum computing with light. And our group does a lot of work around another kind of superconducting sensor called a transition edge sensor that Adrian Alita in our group does a lot of work on that. And that can tell you based on the amplitude of the current pulse you divert exactly how many photons were in that pulse. What's that useful for? One way that you can encode information in quantum states of light is in the number of photons. You can have what are called number states and a number state will have a well defined number of photons and maybe the output of your quantum computation encodes its information in the number of photons that are generated. So if you have a detector that is sensitive to that, it's extremely useful. Can you achieve like a clock with photons or is that not important? Is there a synchronicity here? In general, it can be important. Clock distribution is a big challenge in especially large computational systems. And so yes, optical clocks, optical clock distribution is a very powerful technology. I don't know the state of that field right now, but I imagine that if you're trying to distribute a clock across any appreciable size computational system, you wanna use light. Yeah, I wonder how these giant systems work, especially like supercomputers. Do they need to do clock distribution or are they doing more ad hoc parallel like concurrent programming? Like there's some kind of locking mechanisms or something. That's a fascinating question, but let's zoom in at this very particular question of computation on a processor and communication between processors. So what does this system look like that you're envisioning? One of the places you're envisioning it is in the paper on optoelectronic intelligence. So what are we talking about? Are we talking about something that starts to look a lot like the human brain or does it still look a lot like a computer? What are the size of this thing? Is it going inside a smartphone or as you said, does it go inside something that's more like a house? Like what should we be imagining? What are you thinking about when you're thinking about these fundamental systems? Let me introduce the word neuromorphic. There's this concept of neuromorphic computing where what that broadly refers to is computing based on the information processing principles of the brain. And as digital computing seems to be pushing towards some fundamental performance limits, people are considering architectural advances, drawing inspiration from the brain, more distributed parallel network kind of architectures and stuff. And so there's this continuum of neuromorphic from things that are pretty similar to digital computers, but maybe there are more cores and the way they send messages is a little bit more like the way brain neurons send spikes. But for the most part, it's still digital electronics. And then you have some things in between where maybe you're using transistors, but now you're starting to use them instead of in a digital way, in an analog way. And so you're trying to get those circuits to behave more like neurons. And then that's a little bit, quite a bit more on the neuromorphic side of things. You're trying to get your circuits, although they're still based on silicon, you're trying to get them to perform operations that are highly analogous to the operations in the brain. And that's where a great deal of work is in neuromorphic computing, people like Giacomo Indoveri and Gert Kauenberg, Jennifer Hasler, countless others. It's a rich and exciting field going back to Carver Mead in the late 1980s. And then all the way on the other extreme of the continuum is where you say, I'll give up anything related to transistors or semiconductors or anything like that. I'm not starting with the assumption that I'm gonna use any kind of conventional computing hardware. And instead, what I wanna do is try and understand what makes the brain powerful

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