第 187 期·中文精讀

弗蘭克·維爾切克:夸克、暗物質、複雜性、生命與外星人的物理

Frank Wilczek: Physics of Quarks, Dark Matter, Complexity, Life & Aliens

諾貝爾物理學獎得主從夸克講到暗物質,討論物理規律如何容許複雜性與生命存在。

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質子和中子內部的夸克,彼此靠得越近,感受到的強力反而越弱。近到一定程度,它們幾乎像自由粒子一樣各走各的路,彷彿中間那根繩子鬆開了。這個結論和日常經驗完全顛倒:常識裡距離越近力越大,磁鐵是這樣,引力是這樣,夸克偏偏相反。

這是弗蘭克·維爾切克(Frank Wilczek)1973 年和戴維·格羅斯(David Gross)、戴維·波利策(David Politzer)一起算出來的結果,名字叫漸近自由(asymptotic freedom),幾十年後拿了諾貝爾物理學獎。

要講清楚這件事,得把量子力學和相對論同時請進來。探測極短的距離,必須用動量極大的探針去撞;動量一大,能量跟著大;能量一大,真空裡就能短暫地冒出夸克和膠子,又迅速湮滅。維爾切克自己說,這套東西沒法三言兩語講完,需要聽眾有相當的耐心。不過結論可以講得很簡單:存在一種非常特殊的力,由一種性質非常特殊的粒子,也就是膠子來傳遞,它讓夸克在靠得極近時幾乎不相互作用。

同樣的道理反過來看,高能下這種相互作用也變得極弱。漸近自由把"距離近"和"能量高"兩件事接上了,因為相對論把短距離和大動量綁在一起,量子力學又把大動量和不確定性綁在一起。早期宇宙溫度高到原子核都散架,剩下的夸克和膠子飛快地跑,相互作用反而簡單到可以拿來做科學計算。

"宇宙誕生的時候是自由的。"(維爾切克)

維爾切克提到,他們當年做這項工作時,實驗線索非常微弱,只能靠間接證據把它變成預言;二十年後同樣的資料擺在眼前,夸克和膠子的徑跡已經顯而易見。當年國際會議上專門有分會場討論 QCD 是否正確,熱鬧得很;今天同樣精度的計算和實驗被歸入"背景本底",人們把它當成理所當然,只盯著偏離理論的地方找新發現。前沿變成地基,地基變成無聊。

他還解釋了強相互作用和核物理的關係。原子核裡的質子中子靠強力結合,而強力本身是夸克和膠子之間的作用。這跟電子和光子構成原子、分子是同一類結構:電子和光子在化學裡是真正活躍的角色,原子核太重、太遲鈍,多數場合可以當作帶正電和質量的點來看,真正熱鬧的是電子雲和光子。質子和中子就像用夸克雲做的"原子",膠子扮演了光子的角色,只不過傳遞的是另一種力。他還把 QCD 和 QED 放在一起比:QED 裡是一種光子、一種電荷,QCD 裡是八個膠子、三種色荷,概念結構非常相似,都建立在粒子對電荷做出對稱響應這件事上。

"QCD 就像 QED 打了興奮劑。"(維爾切克)

世界最不可思議的地方,是它居然可以被理解

被問到物理學裡最美的想法是什麼,維爾切克沒有挑某個方程。他說最美的是我們能對世界的"作業系統"層面,給出一個既緊湊又精確又完整的描述。這是份非同尋常的禮物。而一旦發現描述和觀測之間哪怕差了十億分之一,我們就會坐立不安。

他引了愛因斯坦那句流傳很廣的話。

"宇宙最不可理解的地方,就在於它是可以理解的。"(維爾切克引述愛因斯坦)

在維爾切克看來,這是 17 世紀科學革命最深刻的成果。牛頓力學開了頭,讓人看到可以追求完整性、精確性和簡潔性,之後幾百年這條路越走越寬,驚喜一直在繼續。當然也有許多小一號的奇蹟:方程的形式被高度對稱性支配,結構出人意料地開闊,量子力學尤其如此。

主持人追問:這是事實還是希望?維爾切克說是事實。你可以指著全球人均 GDP 的增長,可以指著 LIGO 探測到遙遠黑洞的碰撞,可以指著粒子物理把定律驗證到十億分之一的精度。紙筆算出來的抽象,和磁鐵、加速器、探測器看到的真實,分屬兩套看似毫不相干的概念世界,它們必須對上,對不上我們就會非常不安。能做到這一點,說明我們對自然的理解已經相當深。

但他也劃了邊界。暗物質是什麼,沒人知道。知道了方程,也不等於解得出來,化學就是這樣:原則上方程能預測分子行為,實踐中除了最簡單的情形都極其困難。還有一層,很多我們關心的東西是歷史性的,是早期宇宙演化出來的結果,基本物理定律只是打地基,理解人、青蛙和社會需要完全不同的概念。

維爾切克還指出方程本身在提示自己的侷限。動力學方程告訴你從某個起點出發會發生什麼,卻不告訴你起點該是什麼。混沌和對初始條件的敏感,意味著就算方程在手,我們也無法精確預演它的後果。他打了個比方:想做蘋果派,得先造一個宇宙。更聰明的做法是從蘋果開始,別從夸克開始。

對稱性:從柏拉圖的正多面體,到病毒的外殼

維爾切克寫過一本書,叫《一個美麗的問題》(A Beautiful Question),書名就是那個問題:世界是否體現了美的理念?

他的答案裡,對稱性佔了核心位置。古希臘的柏拉圖用五種完美對稱的正多面體來構造原子模型,那個年代就已經有了"數學對稱性應該支配世界"的直覺。現代物理在這個方向上遠遠超過了柏拉圖,因為我們現在用到的對稱性比柏拉圖能想象的要強大得多,它們正是我們構建世界理論的原料,而且管用。

對稱性是人類藝術裡到處可見的東西,阿爾罕布拉宮的花磚、牆紙圖案、裝飾紋樣,全都是。它同時也是現代基礎物理的主導主題。維爾切克認為這不是巧合:人類是在跟世界打交道的過程中演化出來的,我們天生就喜歡、就擅長髮現這類結構,所以會跟宇宙的規律產生共鳴。

他舉了一個更樸素的例子。很多病毒的外殼是正多面體。原因是病毒很笨,它只會做一件事,就反覆做同一件事:造一個五邊形,再造一個五邊形,再一個,都用同樣的方式粘起來,最後得到一個高度對稱的物體。西蘭花那種層層分形的結構也是這麼來的。秘密是愚蠢,把同一件簡單的事重複做,就長出了複雜而美麗的形狀。

連大腦也是這樣。西班牙神經解剖學家卡哈爾(Ramón y Cajal)畫的海馬體等結構,看上去極其規整、極其繁複,本質上就是大量重複單元堆出來的。同樣的程式被反覆執行,就有了對稱。

主持人提到陀思妥耶夫斯基那句話:美會拯救世界。維爾切克說,他不敢說美能拯救世界,但美確實是理解世界的一個重要洞見來源。研究最基本的相互作用時,那些過程發生在極短的距離上、發生在特殊粒子之間,粒子的性質只有高能下才顯露,日常生活幾乎給不出任何線索,實驗又極難做,沒法完全照著培根式的路子一步步從資料裡歸納出定律。實際做法是猜。而這些猜測在相當程度上是美學性的:先設想一個跟已知事實相符、又足夠漂亮的描述,拿去試,結果在很多深刻的場合裡它真的成立。人類覺得美的概念,恰好也是支配世界執行的概念,他覺得這不是偶然。

138 億年壓縮成一年,恐龍在聖誕節出現

維爾切克新書《基礎:現實的十個關鍵》(Fundamentals: Ten Keys to Reality)裡說,空間和時間都非常大。有多大?他給了一個方便換算的方法:把 138 億年的宇宙史線性對映到一年。

大爆炸是 1 月 1 日零點。然後要等很久,恐龍才出現,出現在聖誕節前後,幾乎是第 12 個月的最後。讓哺乳動物和最終的人類從恐龍手裡接過地球的那次滅絕事件,發生在 12 月 30 日。全部人類歷史,只佔最後一天的一小部分。一個人的一生,是這個間隔裡極其微小的一段。

他還順口說過一句很有意思的話:如果把視野放得足夠寬,宇宙的歷史比瑞典的歷史簡單,因為你的標準更低。

空間上可以講一個類似的故事。可觀測宇宙的尺度,就是光在 138 億年裡能走的距離,138 億光年。這個距離非常大,相比之下,地球只是光秒的一個零頭。要真正把握這樣巨大的時間和空間,得用指數記法和抽象概念,靠心理上的直覺是抓不住的。

但維爾切克特意補了一句:這並不意味著我們渺小。他試著估算過,一個人一生大概能有多少個有意義的想法。問題有點模糊,但他覺得能定義得相當精確。

一生能裝下幾十億個想法

他的估算有幾個互相印證的入口。最有力的一個是視覺處理速度。電影其實是一串靜止的幀,我們的大腦也是這樣工作的:取一幀,積分一段時間,再取下一幀,靠事後加工造出連續流動的感覺。如果閃爍頻率太慢,你就會看出那是一串快照。那麼臨界點在哪兒?大約每秒 40 次。把 40 作為影象處理的速度,乘上一生,數量級就落在幾十億。

另外幾條線索能對得上。熟練的鋼琴演奏者能彈多快,遊戲高手能操作多快,人說話能說多快,量級都差不多。所以他的結論是:一個人的一生,容得下幾十億個有意義的想法。具體是二十億還是十八億,他不打算爭,任何合理的估計都落在 1 億到 1000 億之間。

主持人開玩笑,說 99% 的想法大概都是食物、性和網際網路。維爾切克回應:生活裡可不止贏諾貝爾獎這一件事。

主持人在這個基礎上又推了一步。如果想法之間會相互作用,就像粒子之間會相互作用,那麼可能性的數量會指數級爆炸,遠遠超過幾十億這個量級。所以世界是不可窮盡的,象棋這麼簡單的系統人類都無法完全掌握,最好的棋手現在也穩定輸給電腦。但正因為不可窮盡,能找到簡潔、強大、可壓縮全部組合複雜性的普遍規律,才顯得格外美。他說,我們或許能找到一套關於世界"作業系統"的普遍原理,同時世界永遠保持不可窮盡。真正意義上的"萬物理論",他認為不存在。

夸克、電子、光子:它們真的存在嗎

維爾切克說,按目前最成功的描述,基本粒子是點,沒有內部結構,小到不能再小。操作上,它們服從一組方程,方程裡的實體是能量、動量、角動量的奇異集中,集中在單個點上。

這種數學結構在現實中只能部分顯現,因為要想從波函式里讀出精確位置,你得注入極大的能量,精確位置是一個理想化的極限,需要無限大的能量。但在數學層面,我們確實是用點粒子搭建世界的。

那麼它們存在嗎?維爾切克的回答很乾脆:存在。電子存在,光子存在,夸克存在。存在是什麼意思?精確的說法是,我們用來搭建世界的方程裡包含一些可複製的實體,它們在整個宇宙裡數量龐大,有確定的性質,比如質量和自旋,我們把這些實體叫電子。而物理世界裡,確實能找到這種實體的大量樣本。電子和光子可以單獨隔離出來研究,可以檢查它們是否完全一致,化學之所以能成立就靠這個。光子如今還能一個一個地研究,測出它的自旋和其他基本性質,把方程檢驗得很細。

夸克和膠子要麻煩一點。方程裡的夸克和膠子不會以可以單獨隔離的粒子形態出現,它們永遠待在被束縛的結構裡,比如質子大致是三個夸克加大量膠子。但在高能下,它們能在一段時間裡相對自由地傳播,我們可以拍下它們的徑跡,然後再被重新捕獲進質子和其他介子裡。這正是維爾切克拿諾貝爾獎時所做的預言:高能下的這種表現會被觀察到,而且確實被觀察到了。膠子沒法像電子那樣單獨隔離研究,可你可以在理論裡把它們當作構建可觀測事物的原料,也可以在高能加速器上讓它們短暫獲得自由,拿到它們留下徑跡的證據。

我們寫得出方程,卻解不出質子

QCD 的方程很漂亮,在高能加速器上經受了嚴格檢驗,有人想推翻它,推不倒。但有一個尷尬的事實:沒人能證明,這套建立在夸克和膠子之上的理論,真的會產生我們在現實裡觀測到的質子和中子。這叫做"禁閉問題"。人類沒法用自己理解的方式解析地證明它。可是把這些方程放到超級計算機上跑,出來的結果就是這個世界的樣子。

這件事引出維爾切克對"人類認知有沒有根本極限"的態度。薩拉·沃克(Sarah Walker)擔心我們身處系統之內,可能永遠無法理解自己所在的系統。維爾切克說,我們當然有限制,處理資訊的能力有限,但我們可以借儀器彌補感官的不足,也可以在不同問題上用不同種類的概念。他舉了自己熟悉的例子:人類解不出 QCD 方程,但計算機能解,未來還可以藉助"矽基朋友"及其後代,用另一種方式去理解。他看不到任何邏輯上的死路或悖論會讓這個過程停下來。

他說,我們有一種由方程本身帶出來的認識,同時還有一種機器給出來的認識,兩套認識並存,人類未必都能用概念消化,但理解的總量在增長。碰到能力的邊界,就去找變通辦法,有時靠概念,有時靠儀器,有時兩者一起用。現在就灰心,為時過早。

他還提到玻爾的互補性作為方法論。同一個人,要給他開藥、判斷他高速運動或受輻射會怎樣,你得用物理學的思路,因為他由物質構成;要預測他在某種情境下的行為,你得用心理學的概念。兩種思路都對,用在不同的問題上,互相不衝突。

互補性:同一個東西,兩套都對的說法

維爾切克把互補性放在《基礎》最後一章,認為它是全書最高一層的心得。前面那些內容,世界的尺度、可理解性、複雜性從簡單裡湧現,大體上都屬於關於世界的事實;互補性更像一種面對世界的態度,由這些事實鼓勵出來。

它的意思是:對同一個物件、同一個系統、同一個處境,用完全不同的描述去回答不同的問題,可能既恰當又不可避免,兩套描述甚至互相無法翻譯、互相無法理解,但各自都對,各自帶來不同種類的洞見。

最嚴格的形態出現在量子力學裡,而且是可以證明的定理。一個電子的主要描述是它的波函式。波函式可以預測它出現在各處的機率,也可以預測它各種動量值的機率。想拿到位置的機率,你得用一種方式處理波函式;想拿到動量的機率,你得用另一種方式處理。這兩種處理方式在數學上互不相容。維爾切克打了個比方:一塊石頭,你可以雕成維納斯,也可以雕成大衛,但沒法兩者兼得。

海森堡不確定性原理是這件事的物理對應物,位置和動量不可能同時確定。愛因斯坦對互補性一直不舒服,他和玻爾那場著名的論戰,核心就是量子力學裡的互補性到底是宇宙的永久特徵,還是我們暫時描述方式的問題。到目前為止,量子力學一路贏,連愛因斯坦用來挑戰它的 EPR 實驗,最後也變成了對它的確認。互補性是不是最底層的真相,誰也說不準,但它的表現好得驚人。

維爾切克強調,互補性在別的地方更多是一種智慧,而不是定理。他舉自由意志和決定論。他覺得這兩個東西都成立:從"上帝視角"看,大腦裡發生的一切可以是確定的;從大腦自己的視角看,也就是我們叫做"自我"的那部分,只能接觸到極小一部分資訊,它體驗到的是自由選擇。他相當確信事情最後會這樣收場。自由意志是我們確實體驗到的,也是心理學和法律裡不可缺的概念,同時他相信心智從物質中湧現,而物質有另一套描述,大致是決定論的。量子力學的微妙之處在這裡他認為不相干。

這種思路的好處是寬容。它承認理解一件事可以有很多條路,路多了是加分,不是減分。他講了個約翰遜博士的段子:約翰遜和鮑斯威爾討論一場佈道,佈道的高潮是講者說"我接受這個宇宙",約翰遜回了一句,你最好接受。接受宇宙有它的快樂,因為那讓人心智開闊。他也提到,從哥白尼到達爾文再到今天,物理學一次次教人謙卑:地球不在中心,人不是造物的頂點,心智從物質裡長出來,用不著什麼特殊的生命力或者靈魂。可他把互補性看成一種解放性的概念,承認只有一種想問題的方式,反倒會限制人。

一個"幾乎成立"的對稱性,引出了暗物質

先解釋幾個字母。C 是電荷共軛,把所有粒子換成反粒子。P 是宇稱,也可以叫空間反演,就是照鏡子,看映象裡的世界是否遵守同樣的規律。20 世紀中期,人們發現 C 和 P 都不完全成立,照鏡子能分辨出哪邊是鏡子、哪邊是真實世界。這些例外後來引出關於中微子和弱相互作用的大量洞見。

再加上 T,時間反演,把一段電影倒著放。物理學有很強的理由相信 CPT 合起來是精確對稱的,它的地位跟相對論、量子力學差不多。既然 CPT 精確成立,CP 就等價於 T。觀測顯示 T 也不是精確對稱,只是"幾乎"精確。

麻煩出在這個"幾乎"上。一個規律如果精確成立,哪怕它奇怪、多餘,你還可以說它是世界的基本特徵,接受它。可它只是近似成立又不完全成立,那就很難受,你必須解釋為什麼差那麼一點。1960 年代,克羅寧(Jim Cronin)和菲奇(Val Fitch)發現了這種時間反演對稱的微小破壞。此前幾百年物理學的發展裡,方程倒著放看起來總是同樣成立,這個性質對描述生命毫無幫助,甚至有點尷尬。人們花了很長時間,把它當成統計力學和熱力學基礎裡的難題來處理,想弄清宏觀上明顯不可逆的行為,怎麼從幾乎可逆的方程裡長出來。這至今仍是一個有意思的課題,而且現在成了一個活躍的前沿,去探索這條可逆與不可逆的邊界在哪裡,時間晶體就是邊界附近的現象。

在相對論、量子力學和規範對稱性共同構成的框架裡,違反時間反演對稱的相互作用只可能有兩種。一種發生了,帶來了非常豐富的理論,解釋了克羅寧和菲奇的實驗,還做出許多成功預言,它可能跟今天宇宙裡物質和反物質的不對稱有關。另一種按理說也可能發生,卻完全沒有發生。為什麼沒有?這就是強 CP 問題。

維爾切克和不少同行有一個方案,他自嘲當年是"曠野中的聲音",如今這個想法已經變得流行,甚至可能成了主流。這個相互作用的強度未必是常數,它可以是場,一種隨空間和時間變化的東西。讓這個場從早期宇宙演化下來,它會自然沉降到一個剛好讓規律幾乎精確對稱的值。看起來像常數,其實是一個演化出來的場。

更妙的是,它不會精確沉降到零,還會殘留一點振盪。這個場極其剛性,極小的振盪也意味著巨大的能量,能量的表現就是粒子。這些殘留振盪的粒子,就是軸子(axion)。按這套理論算,軸子氣體填滿宇宙的能量密度,恰好是天文觀測需要的暗物質,性質也剛好對得上。軸子原本是為另一個問題設計的,可方程一算就把它算了出來。維爾切克覺得這是好兆頭。

他也說了實情:軸子至今沒有被確認探測到,之前出現過幾次假警報,目前沒有令人信服的證據。探測極難,因為軸子相互作用極弱,需要專門設計新型天線。如果容易,早就做成了。他預計未來幾年到幾十年,靈敏度有可能做到能真正檢驗這套想法的程度,進而解開暗物質這個佔了宇宙很大一塊的謎。

時間晶體:在時間裡結晶,卻不是永動機

維爾切克先講什麼是晶體。晶體是原子在空間中的有序排列,很多材料緩慢冷卻就會自發形成晶體。這個狀態的一個重要特徵是:晶體本身的對稱性比生成它的方程要低。基本物理方程在平移下保持不變,晶體不是,原子待在特定的位置上。

時間晶體是同一件事在時間裡的版本。某些物質狀態在被溫和對待、任其自然時,會自發把自己安排成有節奏的行為,這種節奏無限重複。這就是"在時間裡結晶"。除此之外還有時間液體,還有時空晶體,那種圖案每走一步時間,同時在空間裡也移動一段,才會重複。

問題隨之而來。在時間裡重複,看上去很像運動;無限重複,看上去很像永動機。維爾切克說,熱力學定律要重新審視一下。熱力學定律本身不屬於基本物理定律,它們是在某些條件下從基本定律推匯出來的,不是單獨假設出來的,推導的適用範圍有限,並不普適。時間晶體就是一類邊界情況。

但它不提供免費午餐。那些東西確實在動,可它們本來就想那樣動,處在能量最低的配置上。你想從裡面提取能量,會失敗,因為沒有多餘的能量可取。你可以注入能量去擾動它,卻沒法從中榨出能量讓它自己再轉回去。文獻裡說的永動機,通常指那種可以提取能量、還能自己恢復的宏觀運動,時間晶體不屬於那一類。

大爆炸之前,方程自己先崩了

維爾切克提醒,關於大爆炸有個常見的誤解,以為它像一枚炸彈在空無一物的空間裡炸開,填滿周圍的場所。實際情況是,大爆炸發生在空間之中,是整個空間本身在膨脹。把它倒著放,物質會聚攏成極其熾熱、極其緻密、同時又非常均勻的等離子體,裡面是各種基本粒子:夸克、反夸克、膠子、光子、電子、反電子,全都有。溫度遠高於太陽表面。如果直接照著方程推下去,預測的溫度會趨向無窮大,方程就崩了,這叫奇點。我們並不知道那一刻真正發生了什麼,要想處理最初那一瞬間,需要另一套方程。

至於為什麼一開始會是這樣,我們不知道。有大量證據表明它確實如此,但那個地方沒法去,也做不了對照實驗,留下的記錄被處理得非常厲害,得靠極精細的技術和強大的儀器才能挖出倖存的資訊。

維爾切克對"能不能理解大爆炸之前"持樂觀態度,兩方面都樂觀:觀測上能測得更多,理論上能算得更多。他特別看重引力波。引力波和普通物質相互作用極弱,所以它從大爆炸那裡帶出來的訊號幾乎是沒被加工過的。訊號很弱,因為走了太遠的路,在巨大空間裡被攤薄了,但人們正在準備探測來自早期宇宙的引力波。

LIGO 在他看來是一項了不起的工程成就,是地球上最靈敏、最精密的裝置,人類能造出這種東西,從工程角度看簡直令人敬畏。不過早期宇宙的引力波波長可能比 LIGO 能感應的長得多。他提到一個正在被構想的美麗專案:把鐳射器放到太陽系裡不同的位置,用人造行星或人造衛星把它們隔開,看它們之間極微小的相對運動,作為大爆炸輻射的訊號。那是太陽系尺度的感測器。

"那會是人類事業的一個頂峰產物。"(維爾切克)

還有一條間接路徑:早期宇宙的引力波也許在光子,也就是微波背景輻射上留下了印記。微波背景是我們目前窺視最早期宇宙的方式,可那些光子跟物質作用強得多,被加工得厲害,給不出那麼原始的影象。如果引力波穿過時留下了痕跡,我們也許能把它讀出來。眼下就有人在拼命往這個方向做。

這樣一件事牽扯的知識從極小到極大:得理解它們怎麼運動,理解所用光的性質,理解光的干涉,得用鐳射造出光,得懂量子理論,得把時序掐準。全部動力來自好奇,規模卻是宏大的。維爾切克說,如果人類真做成了,他會為自己是人而驕傲。

從均勻的湯裡,長出會提問的動物

早期宇宙相當均勻,但並非完全均勻,原始等離子體裡有萬分之幾的密度漲落。隨著時間推移,引力不穩定性讓密度差越滾越大:密度高的地方引力更強,吸來更多物質,變得更密,如此迴圈。物質有天然成團的傾向。

接下來是複雜的過程。我們知道定律,可在細節上要揮一揮手。基本理解是,物質成團之後能夠輻射,放出能量,於是冷卻下來,進一步聚攏,形成恆星、行星。這套場景在粗線條上沒有謎團,方程告訴你它該發生。但參與的基本單元太多,把單個單元的定律應用到這些系統上,計算上極其艱難。更深一層,方程帶有混沌和對初始條件的敏感,初始狀態裡極小的差別可以導致後來行為的巨大差異。到某個點上,基礎物理就擺手說,接下來是化學家和生物學家的問題。

那麼複雜結構怎麼可能出現?維爾切克說,溫度合適、材料合適,這些條件湊齊了,複雜結構才有機會生長。你需要能形成相當穩定的化學鍵,才撐得起復雜結構;同時這些鍵還得能被打破一點,比如靠太陽注入能量。碳在這件事上特別幸運,它能搭出骨架、長出分支,構成我們叫做生物化學的東西。既要有變化的可能,又要有夠用的穩定性,兩頭都得有。

想知道原則上可能發生什麼,物理能告訴你;想知道實際發生了什麼,就得去查化石記錄,去問生物學家。這些提問方式彼此互補,用不同的概念、不同的語言,回答不同的問題,互相之間並不矛盾。

主持人提到一個有意思的視角:早期那些量子漲落,可以說是我們最早的祖先。維爾切克說,這差不多是印度哲學"梵我一如"那個意思的現代版本。你問那些漲落是什麼,它們正是複雜性從中演化出來的種子,包括人。除了那些漲落,別的什麼都不需要。

外星人:生命的條件可能到處都有,智慧未必

維爾切克說,我們並不確定,但他強烈懷疑宇宙裡有別的智慧文明。依據是地球上這唯一的樣本。我們大致知道哪些條件對生命有利:合適的溫度,能長期維持這個溫度的恆星,液態水環境。地球大約 45 億年前成形,條件一具備,沒過多久,我們所謂生命的痕跡就出現了。地球上能找到幾乎和地球同齡的原始生命形式。地球從熾熱的球體冷卻成帶水的固體之後,生命出現得非常快。所以那些一般性條件,可能足以讓生命相對迅速地發生。

但從這一個例子推結論很危險,他也承認。智慧生命的出現是另一回事。它花了很長時間,而且長期看相當偶然。生命史上大部分時間都是單細胞的東西,多細胞生命大約 6 億年前才出現。智慧更像是奢侈品:長著大肚子的生物遠比長著大腦袋的多,多數生物壓根沒有像樣的腦。恐龍統治了很久,有些相當聰明,可充其量是鳥腦水平,鳥類就是從恐龍來的。事情完全可能一直那樣下去。人類的出現非常偶然,在演化尺度上也是極近的事。

所以他傾向於認為,某種形式的生命條件在宇宙裡、甚至在我們銀河系裡,可能被滿足很多次。至於智慧生命或技術文明,他沒那麼確信,那看上去更偶然、更特殊。銀河系裡只有我們一個,在他看來是可能的。他也坦白,不同日子他的看法不一樣。他還提醒一句:在保持謙卑的意義上,我們這種智慧未必有多特別,可能還有別的種類的智慧,更寬泛地說,還有別的種類的生命。

主持人提到薩拉·沃克,兩人剛聊過怎麼從物理角度定義生命。維爾切克覺得"什麼是生命"這個問法有風險,因為答案的精確度不可能超過問題本身。這個問題預設了我們已經知道生命是什麼,而且它是個能清楚分辨的自然現象,可實際存在病毒這樣的邊界情況,甚至有人說電子有意識。概念本身模糊,就很難得到精確的科學答案。

不過他提出一個相鄰的、更有產出的問題:物質可能有哪些狀態?中學裡學固液氣三態,那只是表面。物質能以宏觀上不同、有意義的方式組織起來,這些形態叫相,相的精確含義幾十年來已經被琢磨得相當清楚。我們不斷髮現新的物質狀態。有些跟生命直接相關,液晶就是細胞膜的重要成分,對細胞膜的工作方式很關鍵。最近十來年還出現了帶動力學的物質狀態,圖案在時間裡重複,也就是時間晶體,這個方向正在蓬勃生長。至於是否存在對應生命的物質狀態,維爾切克說也許有,但答案沒法比問題更確定。

主持人在這裡表示不完全同意,認為問題指向一個方向,答案有可能比問題更精確。就像可以先去發現某種物質具備的宏觀特徵和模式,回頭再決定把"生命"這個詞安在它頭上。維爾切克說這跟他想的沒有衝突。科學史上常有這種事:日常詞彙被重新加工成科學術語,"力"和"能量"都經歷過,"對稱"也是。日常用法跟科學用法可以差很遠,科學用法會獲得自己的生命,我們會逐漸弄清哪個版本有用。

所以他願意接受這樣的說法:如果我們能識別出某種物質狀態或一組相連的物質狀態,能自我複製、能發展、能處理資訊,我們也許就會願意把它們歸為生命。

意識、自我覺知,以及機器人的後門

話題轉到最難的意識。維爾切克說,意識這個詞同樣不精確,帶著大量聯想,做科學分析時不該從它開始。科學常常是從簡單的情形起步,往上走。

他更願意談自我覺知。這個詞去掉了那層神秘光環,而且跟反饋的概念是連著的:一個系統觀察自己的狀態並對它做出反應,這就是一種自我覺知。更復雜的版本出現在資訊處理系統裡,計算機檢視自己的內部狀態並據此行動。神經網路裡也能做到,那叫遞迴神經網路,很難理解,屬於前沿。他認為把這些搞清楚,逐步建立起能概念化不同層次自我覺知的豐富理論,會照亮關於意識的問題。相比之下,託著下巴談感受質(qualia)那一套,永遠做不到這一點。

還有一個他更看重的角度:把意識當作演化產物來問,它為什麼有用。大腦的代價很高,代謝需求大,需要活躍的生活方式,需要恆溫,還會擠佔消化等功能的資源,在演化中很稀有。既然這麼貴,就必須有回報。他相信回報很大一部分在社會互動上。

主持人提到機器人學的路子:可以工程上做出表現出意識特徵的東西,未必需要先理解它怎麼工作,等於從心理學那道門繞進去。維爾切克說他們想法一致。他補充說,他道德上確信,從遞迴神經網路、機器人設計、先進計算機設計裡會浮現出來的結論是:以結構化的方式檢視內部狀態,只檢視經過高度加工的資訊,只檢視被封裝起來的一小部分,做出選擇卻不知道選擇是怎麼做出的,這些東西對高效的資訊處理非常關鍵。系統裡同時會有一個"無意識"。這正是它演化出來的原因,因為它有用。

主持人還提到,從演化角度看,意識在人際溝通裡像是一件有用的工具,先有意識的展示,展示和本身之間有一片灰色地帶。維爾切克說,無論意識最終是什麼,從它的用途入手、從簡單案例往上走、從高效計算包括高效處理社會互動的工程經驗往上走,都會真正照亮這些問題。相比之下,抽象地冥思意識,永遠做不到。

萬物理論:漂亮,但多半沒用

維爾切克談了對"萬物理論"的看法。狹義上,它指把現有物理定律統一起來,把廣義相對論和量子場論裝進同一個框架。他說有這樣的東西挺好,美學上會讓人愉快。但它有用嗎?大概沒用。他承認這話說得很危險,可他確實這麼認為,至少在可預見的未來沒用。

也許能幫我們理解黑洞。可黑洞也不實用。更嚴重的是,現有理論框架回答不了的那些關於黑洞的問題,在未來很長時間裡也不大可能被天文觀測檢驗。那些問題涉及極小質量的黑洞,量子效應開始起作用,霍金輻射才會登場。對天文學尺度上的黑洞,霍金輻射的速率小到絕對無法觀測,被其他各種效應徹底淹沒,這個預言從來沒被檢驗過。

所以現有理論對技術問題完全夠用,對絕大多數天體物理和宇宙學問題也夠用,例外只在極早期宇宙。你想問大爆炸之前發生了什麼,或者大爆炸那一刻發生了什麼,那確實需要更好的理論。

主持人提到埃裡克·溫斯坦(Eric Weinstein)的觀點:要想離開地球、成為多行星物種,得先解決物理學問題,找到所謂的"原始碼",用萬物理論去改寫現實的底層,拿到捷徑。維爾切克說,他不能說這一定不會發生,但他可以說,1970 年代到 1980 年代初,人類在理解物質上取得了巨大的進步,QCD、對弱相互作用和量子力學的更好理解都在其中,而這些對技術的影響微乎其微,對火箭設計、對推進、對任何技術都沒有明顯幫助。現在討論的東西更玄,他沒法斷言它們不影響技術,但他非常懷疑。要接觸那些東西,需要極端的條件、需要昂貴的加速器去造新粒子,產量還很少,這是空想。

談到太空探索,他說這更像是生物學和資訊處理的問題。人體並不適應太空。火星是附近最接近人類環境的地方,可要在火星上維持人類生存極其困難,代價高昂,極不穩定。如果對"把人類文明帶出地球"做更寬的理解,滿足於派出能對話的機器、能操控的執行器、能反饋的感測器,他認為這條路線現實得多,也是太空探索的長遠未來。把人的身體搬來搬去,是件傻事。

他補充說,也可能有別的形態:把人的壽命延長,或者把心智的某些部分、某些資訊延伸出去,也可能是把實現類似人腦架構的細胞或腦組織放進適應太空條件的人造外殼裡,也就是人機混合體,再加上能遠端通訊的前哨。這些他認為都會發生。而這類事情真正靠得上的,是廣義上的物理學,不是再去找一條新定律、一個新夸克或一個軸子,而是物理學分析複雜情境、分析新物態、設計巧妙儀器的經驗。這些經驗對這種事業貢獻巨大,可尋找所謂萬物理論跟它關係不大。

探索與利用:一個五十歲物理學家的自由

話題最後落到死亡。維爾切克說,用"害怕"這個詞不對。他希望這件事別發生,他想要更多時間,但他不太去想它。

他更願意從操作層面去想,就是電腦科學和機器學習裡那對經典權衡:探索與利用。身處陌生環境時,你想多探索,看清地形、收集資料;到某個節點,你想利用已經積累的知識,做決定,說這就是我要做的事。你預期能利用的時間越長,就越該在探索上多花力氣,往新方向走。他因此調整過自己的探索與利用比例。

他提到一段往事。幾年前他 50 歲,在高等研究院,辦公室正好在弗里曼·戴森(Freeman Dyson)樓下,兩人關係不錯。戴森聽說他 50 歲生日,道了聲恭喜,說你該感到解放了,因為沒人會對一個 50 歲的理論物理學家抱多大期望。戴森顯然從到達某個年紀這件事裡得到了解脫。維爾切克說這裡面確實有點東西。他不必再緊跟粒子物理或弦理論裡最新、最技術化的進展,因為他本來也不會去利用那些東西。他探索的方向轉向機器學習這類領域,同時在物理內部集中精力去利用已經建立起來的東西。眼下他很投入的一件事,是幫實驗人員和工程師設計能探測軸子的天線,這屬於深度利用階段,不再是尋找新定律,而是用已有的定律把故事講完。

他說自己現在過得很快樂,不想因為老想著它會結束而給這份快樂蒙上陰影。這是一份他沒掙來的禮物。被問到生命的意義,他的回答是跟所愛的人互動,跟家人在一起。他現在有很廣的朋友圈,也在試著創造一些能比他本人和他的工作活得更久的機構。這是個正反饋迴圈:你做了件事,別人欣賞,你就想做更多,又得到回報。他說這同樣是份他沒掙來、也搞不懂的禮物,他有一套多巴胺系統,他很樂意用。

主持人說,創造的過程、探索的過程似乎能給他能量。維爾切克說非常如此。而所有這一切,都始於大爆炸後不久的那些微小漲落。

給年輕人的三條建議

訪談快結束時,維爾切克給了三條他自認為普遍適用的建議,也讓人去讀他那本《基礎:現實的十個關鍵》。

  • 撒一張大網。真正去四處看,看什麼有前景,什麼能抓住你的想象力。這兩件事要平衡:有些東西能抓住你的想象力,可問題還不成熟;有些東西本身可能你原本不感興趣,但只要你能看出那裡有新想法在發酵、有活力,它就自帶吸引力。他當年讀本科時本想研究哲學,想搞清心智如何從物質裡湧現,但判斷那個時機不對,不適合他擅長的那種數學思考和概念化。今天做這件事比過去容易,網上什麼都能看到,不過也要小心,垃圾很多,稍作挖掘就能分辨。別隻聽導師或老師讓你做什麼,自己去看,看什麼看起來有前景,而不是十年前看起來有前景的東西。
  • 讀歷史,讀大師。他說自己早年在物理上受益極大,讀愛因斯坦的原著、費曼的講義、達爾文、伽利略。你能從中學到跟困難想法搏鬥是什麼樣子,偉大頭腦是怎麼做的,也能學到風格,怎麼把想法寫清楚、表達清楚。他也喜歡讀傳記,那能把創造這些想法的人還原到人間:做這些事的確實是人,而且會犯錯。他說羅素、H.G. 威爾斯都曾給過他啟發。選定一個方向之後,去了解這個方向的歷史,那能給你上下文,也給你一種共同體感和宏大感。
  • 儘快把基本功拿下。想做理論工作,得學微積分、多元微積分、複變函式、群論。想做實驗工作,如今必須高度熟悉計算機,還要懂電子學、光學和儀器。早點把這些練成,就像學一門語言,要能流利、自信地表達,最好讓它變成你的母語,讓你不用去想"導數是什麼",它就在你骨子裡。這三件事可以並行做,也應該並行做。

主持人最後說,無論那些初始條件和漲落做了什麼,它們創造出了維爾切克,他很高興。維爾切克回應說,他在跟物理現實深度互動中享受到的那種心智開闊,可以傳達給很多人,讓很多人也享受到,這是他人生的一項使命。

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 Frank Wilczek, a theoretical physicist at MIT who won the Nobel Prize for the co discovery of asymptotic freedom in the theory of strong interaction. Quick mention of our sponsors, the Information, NetSuite, ExpressVPN, Blinkist, and Aidsleep. Check them out in the description to support this podcast. As a side note, let me say a word about asymptotic freedom. Protons and neutrons make up the nucleus of an atom. Strong interaction is responsible for the strong nuclear force that binds them. But strong interaction also holds together the quarks that make up the protons and neutrons. Frank Wilczek, David Gross, and David Politzer came up with a theory postulating that when quarks come really close to one another, the attraction abates and they behave like free particles. This is called asymptotic freedom. This happens at very, very high energies, which is also where all the fun is. This is the Lex Friedman Podcast, and here is my conversation with Frank Wilczek. What is the most beautiful idea in physics? The most beautiful idea in physics is that we can get a compact description of the world that's very precise and very full at the level of the operating system of the world. That's an extraordinary gift. And we get worried when we find discrepancies between our description of the world and what's actually observed at the level even of a part in a billion. You actually have this quote from Einstein that the most incomprehensible thing about the universe is that it is comprehensible, something like that. Yes, so that's the most beautiful surprise that I think that really was to me the most profound result of the scientific revolution of the 17th century with the shining example of Newtonian physics that you could aspire to completeness, precision, and a concise description of the world, of the operating system. And it's gotten better and better over the years and that's the continuing miracle. Now, there are a lot of beautiful sub miracles too. The form of the equations is governed by high degrees of symmetry and they have a very surprising kind of mind expanding structure, especially in quantum mechanics. But if I had to say the single most beautiful revelation is that, in fact, the world is comprehensible. Would you say that's a fact or a hope? It's a fact. We can do, you can point to things like the rise of gross national products per capita around the world as a result of the scientific revolution. You can see it all around you. And recent developments with exponential production of wealth, control of nature at a very profound level where we do things like sense tiny, tiny, tiny, tiny vibrations to tell that there are black holes colliding far away or we test laws as I alluded to whether it's part in a billion and do things in what appear on the surface to be entirely different conceptual universes. I mean, on the one hand, pencil and paper are nowadays computers that calculate abstractions and on the other hand, magnets and accelerators and detectors that look at the behavior of fundamental particles and these different universes have to agree or else we get very upset and that's an amazing thing if you think about it. And it's telling us that we do understand a lot about nature at a very profound level and there are still things we don't understand of course but as we get better and better answers and better and better ability to address difficult questions we can ask more and more ambitious questions. Well, I guess the hope part of that is because we are surrounded by mystery. So one way to say it, if you look at the growth GDP over time that we figured out quite a lot and we're able to improve the quality of life because of that and we've figured out some fundamental things about this universe but we still don't know how much mystery there is and it's also possible that there's some things that are in fact incomprehensible to both our minds and the tools of science. Like the sad thing is we may not know it because in fact they are incomprehensible and that's the open question is how much of the universe is comprehensible? If we figured out everything what's inside the black hole and everything that happened at the moment of the Big Bang does that still give us the key to understanding the human mind and the emergence of all the beautiful complexity we see around us? That's not like when I see these objects like I don't know if you've seen them like cellular automata all these kinds of objects where the from simple rules emerges complexity, it makes you wonder maybe it's not reducible to simple beautiful equations the whole thing only parts of it. That's the tension I was getting at with the hope. Well, when we say the universe is comprehensible we have to kind of draw careful distinctions about or definitions about what we mean by that. Both the universe and the kind of and the comprehensive. Exactly, right so the so in certain areas of understanding reality we've made extraordinary progress I would say in understanding fundamental physical processes and getting very precise equations that really work and allow us to do the profound sculpting of matter to make computers and iPhones and everything else and they really work and they're extraordinary productions on the other but and that's all based on the laws of quantum mechanics and they really work and they give us tremendous control of nature on the other hand as we get better answers we can also ask more ambitious questions and there are certainly things that have been observed even in what would be usually called the realm of physics that aren't understood for instance there seems to be another source of mass in the universe the so called dark matter that we don't know what it is and it's a very interesting question what it is then but also as you were alluding to there's it's one thing to know the basic equations it's another thing to be able to solve them in important cases so we run up against the limits of that in things like chemistry where we'd like to be able to design molecules and predict their behavior from the equations we think the equations could do that in principle but in practice it's very challenging to solve them in all but very simple cases and then there's the other thing which is that a lot of what we're interested in is historically conditioned it's not a matter of the fundamental equations but about what has evolved or come out of the early universe and formed into people and frogs and societies and things and the laws of physics the basic laws of physics only take you so far in that it kind of provides a foundation but doesn't really that you need entirely different concepts to deal with those kind of systems and one thing I can say about that is that the laws themselves point out their limitations that they kind of their laws for dynamical evolution so they tell you what happens if you have a certain starting point but they don't tell you what the starting point should be at least yeah and the other thing that emerges from the equations themselves is the phenomena of chaos and sensitivity to initial conditions which tells us that you have that there are intrinsic limitations on how well we can spell out the consequences of the laws if we try to apply them. It's the old apple pie if you want to what is it make an apple pie from scratch you have to build the universe or something like that. Well you're much better off starting with apples than starting with quarks let's put it that way. In your book A Beautiful Question you ask does the world embody beautiful ideas? So the book is centered around this very interesting question it's like Shakespeare you can like dig in and read into all the different interpretations of this question but at the high level what to use the connection between beauty of the world and physics of the world. In a sense we now have a lot of insight into what the laws are the form they take that allow us to understand matter in great depth and control it as we've discussed and it's an extraordinary thing how mathematically ideal those equations turn out to be. In the early days of Greek philosophy Plato had this model of atoms built out of the five perfectly symmetrical platonic solids so there was somehow the idea that mathematical symmetry should govern the world and we've out Platoed Plato by far in modern physics because we have symmetries that are much more extensive much more powerful that turn out to be the ingredients out of which we construct our theory of the world and it works and so that's certainly beautiful. So the idea of symmetry which is a driving inspiration in much of human art especially decorative art like the Alhambra or wallpaper designs or things you see around you everywhere also turns out to be the dominant theme in modern fundamental physics symmetry and its manifestations the laws turn out to be very to have these tremendous amounts of symmetry you can change the symbols and move them around in different ways and they still have the same consequences. So that's beautiful that these concepts that humans find appealing also turn out to be the concepts that govern how the world actually works. I don't think that's an accident. I think humans were evolved to be able to interact with the world in ways that are advantageous and to learn from it and so we are naturally evolved or designed to enjoy beauty and it's a symmetry and the world has it and that's why we resonate with it. Well it's interesting that the ideas of symmetry emerge at many levels of the hierarchy of the universe. So you're talking about particles but it also is at the level of chemistry and biology and the fact that our cognitive sort of our perception system and whatever our cognition is also finds it appealing or somehow our sense of what is beautiful is grounded in this idea of symmetry or the breaking of symmetry. Symmetry is at the core of our conception of beauty whether it's the breaking or the non breaking of the symmetry. It makes you wonder why. Why? So I come from Russia and the question of Dostoevsky he has said that beauty will save the world. Maybe as a physicist you can tell me what do you think he meant by that? I don't know if it saves the world but it does turn out to be a tremendous source of insight into the world. When we investigate kind of the most fundamental interactions, things that are hard to access because they occur at very short distances between very special kinds of particles whose properties are only revealed at high energies. We don't have much to go on from everyday life but so we have when we guess what the, and the experiments are difficult to do so you can't really follow a very wholly empirical procedure to sort of in the Baconian style figure out the laws kind of step by step just by accumulating a lot of data what we actually do is guess. And the guesses are kind of aesthetic really. What would be a nice description that's consistent with what we know and then you try it out and see if it works and by gosh it does in many profound cases. So there's that but there's another source of symmetry which I didn't talk so much about in a beautiful question but does relate to your comments and I think very much relates to the source of symmetry that we find in biology and in our heads, you know, in our brain which is that, well it is discussed a bit in a beautiful question and also in fundamentals is that when you have, symmetry is also a very important means of construction. So when you have for instance simple viruses that need to construct their coat, their protein coat, the coats often take the form of platonic solids and the reason is that the viruses are really dumb and they only know how to do one thing so they make a pentagon then they make another pentagon and they make another pentagon and they all glue together in the same way and that makes a very symmetrical object sort of. So the rules of development when you have simple rules and they work again and again, you get symmetrical patterns. That's kind of, in fact it's a recipe also for generating fractals, like the kind of broccoli that has all this internal structure and I wish I had a picture to show but maybe people remember it from the supermarket and you say how did a vegetable get so intelligent to make such a beautiful object with all this fractal structure and the secret is stupidity. You just do the same thing over and over again and in our brains also, you know, we came out, we start from single cells and they reproduce and each one does basically roughly the same thing. The program evolves in time, of course, different modules get turned on and off, different regions of the genetic code get turned on and off but basically, a lot of the same things are going on and they're simple things and so you produce the same patterns over and over again and that's a recipe for producing symmetry because you're getting the same thing in many, many places and if you look at, for instance, the beautiful drawings of Roman Icahal, the great neuroanatomist who drew the structure of different organs like the hippocampus, you see it's very regular and very intricate and it's symmetry in that sense because it's many repeated units that you can take from one place to the other and see that they look more or less the same. But what you're describing, this kind of beauty that we're talking about now is a very small sample in terms of space time in a very big world in a very short, brief moment in this long history. In your book, Fundamentals, 10 Keys to Reality, I'd really recommend people read it. You say that space and time are pretty big or very big. How big are we talking about? Can you tell a brief history of space and time? It's easy to tell a brief history, but the details get very involved, of course, but one thing I'd like to say is that if you take a broad enough view, the history of the universe is simpler than the history of Sweden, say, because your standards are lower. But just to make it quantitative, I'll just give a few highlights. And it's a little bit easier to talk about time, so let's start with that. The Big Bang occurred, we think. The universe was much hotter and denser and more uniform about 13.8 billion years ago, and that's what we call the Big Bang. And it's been expanding and cooling, the matter in it has been expanding and cooling ever since. So in a real sense, the universe is 13.8 billion years old. That's a big number, kind of hard to think about. A nice way to think about it, though, is to map it onto one year. So let's say the universe just linearly mapped the time intervals from 13.8 billion years onto one year. So the Big Bang then is on January 1st at 12 a.m. And you wait for quite a long time before the dinosaurs emerge. The dinosaurs emerge on Christmas, it turns out. And... 12 months, almost 12 months later. Getting close to the end, yes. Getting close to the end. is human robot interaction. And it seems that consciousness from the perspective of the robot is very useful to improve the human robot interaction experience. The first, the display of consciousness, but then to me, there's a gray area between the display of consciousness and consciousness itself. If you think of consciousness from an evolutionary perspective, it seems like a useful tool in human communication, so. Yes, it's certainly, well, whatever consciousness is will turn out to be. I think addressing it through its use and working up from simple cases and also working up from engineering experience in trying to do efficient computation, including efficient management of social interactions is going to really shed light on these questions. As I said, in a way that sort of musing abstractly about consciousness never would. So as I mentioned, I talked to Sarah Walker and first of all, she says, hi, spoke very highly of you. One of her concerns about physics and physicists and humans is that we may not fully understand the system that we're inside of. Meaning like, there may be limits to the kind of physics we do in trying to understand the system of which we're part of. So like, the observer is also the observed. In that sense, it seems like our tools of understanding the world, I mean, this is mostly centered around the questions of what is life, trying to understand the patterns that are characteristic of life and intelligence, all those kinds of things. We're not using the right tools because we're in the system. Is there something that resonates with you there? Almost like... Well, yes, we have limitations, of course, in the amount of information we can process. On the other hand, we can get help from our Silicon friends and we can get help from all kinds of instruments that make up for our perceptual deficits. And we can use, at a conceptual level, we can use different kinds of concepts to address different kinds of questions. So I'm not sure exactly what problem she's talking about. It's a problem akin to an organism living in a 2D plane trying to understand a three dimensional world. Well, we can do that. I mean, in fact, for practical purposes, most of our experience is two dimensional. It's hard to move vertically. And yet we've produced conceptually a three dimensional symmetry and in fact, four dimensional space time. So by thinking in appropriate ways and using instruments and getting consistent accounts and rich accounts, we find out what concepts are necessary. And I don't see any end in sight of the process or any showstoppers because, let me give you an example. I mean, for instance, QCD, our theory of the strong interaction, has nice equations, which I helped to discover. What's QCD? Quantum chromodynamics. So it's our theory of the strong interaction, the interaction that is responsible for nuclear physics. So it's the interaction that governs how quarks and gluons interact with each other and make protons and neutrons and all the strong, the related particles and many things in physics. It's one of the four basic forces of nature as we presently understand it. And so we have beautiful equations, which we can test in very special circumstances using at high energies, at accelerators. So we're certain that these equations are correct. Prizes are given for it and so on. And people try to knock it down and they can't. Yeah, but the situations in which we can calculate the consequences of these equations are very limited. So for instance, no one has been able to demonstrate that this theory, which is built on quarks and gluons, which no one, which you don't observe, actually produces protons and neutrons and the things you do observe. This is called the problem of confinement. So no one's been able to prove that analytically in a way that a human can understand. On the other hand, we can take these equations to a computer, to gigantic computers and compute. And by God, you get the world from it. So these equations in a way that we don't understand in terms of human concepts, we can't do the calculations, but our machines can do them. So with the help of what I like to call our silicon friends and their descendants in the future, we can understand in a different way that allows us to understand more. But I don't think we'll ever, no human is ever going to be able to solve those equations in the same way. So, but I think that's, you know, when we find limitations to our natural abilities, we can try to find workarounds. And sometimes that's appropriate concepts. Sometimes it's appropriate instruments. Sometimes it's a combination of the two. But I think it's premature to get defeatist about it. I don't see any logical contradiction or paradox or limitation that will bring this process to a halt. Well, I think the idea is to continue thinking outside the box in different directions, meaning just like how the math allows us to think in multiple dimensions outside of our perception system, sort of thinking, you know, coming up with new tools of mathematics or computation or all those kinds of things to take different perspectives on our universe. Well, I'm all for that. You know, and I kind of have even elevated into a principle which is of complementarity following Bohr that you need different ways of thinking even about the same things in order to do justice to their reality and answer different kinds of questions about them. I mean, we've several times alluded to the fact that human beings are hard to understand and the concepts that you use to understand human beings if you wanna prescribe drugs for them or see what's gonna happen if they move very fast or are exposed to radiation. And so that requires one kind of thinking that's very physical based on the fact that the materials that were made out of. On the other hand, if you want to understand how a person's going to behave in a different kind of situation, you need entirely different concepts from psychology and there's nothing wrong with that. You can have very different ways of addressing the same material that are useful for different purposes, right? Can you describe this idea which is fascinating of complementarity a little bit? Sort of first of all, what state is the principle? What is it? And second of all, what are good examples starting from quantum mechanics? You used to mention psychology. Let's talk about this more. It's like in your new book one of the most fascinating ideas actually. I think it's a wonderful, yeah. To me it's, well, it's the culminating chapter of the book and I think since the whole book is about the big lessons or big takeaways from profound understanding of the physical world that we've achieved, including that it's mysterious in some ways, this was the final overarching lesson, complementarity. Lesson, complementarity and it's a approach. So unlike some of these other things which are just facts about the world, like the world is both big and small and different sizes and is big but we're not small, things we talked about earlier and the fact that the universe is comprehensible and how complexity could emerge from simplicity and so those things are in the broad sense facts about the world. Complementarity is more an attitude towards the world than encouraged by the facts about the world. And it's the concept or the approach or the realization that it can be appropriate and useful and inevitable and unavoidable to use very different descriptions of the same object or the same system or the same situation to answer different kinds of questions that may be very different and even mutually uninterpretable, immutually incomprehensible. But both correct somehow. But both correct and sources of different kinds of insight which is so weird. But it seems to work in so many cases. It works in many cases and I think it's a deep fact about the world and how we should approach it. It's most rigorous form where it's actually a theorem if quantum mechanics is correct, occurs in quantum mechanics where the primary description of the world is in terms of wave functions. But let's not talk about the world. Let's just talk about a particle, an electron. The primary description of that electron is its wave function. And the wave function can be used to predict where it's gonna be. If you observe, it'll be in different places with different probabilities or how fast it's moving. And it'll also be moving in different ways with different probabilities. That's what quantum mechanics says. And you can predict either set of probabilities if you know what's gonna happen if I make an observation of the position or the velocity. So the wave function gives you ways of doing both of those. But to do it, to get those predictions, you have to process the wave function in different ways. You process it one way for position and in a different way for momentum. And those ways are mathematically incompatible. It's like you have a stone and you can sculpt it into a Venus de Milo or you can sculpt it into David, but you can't do both. And that's an example of complementarity. To answer different kinds of questions, you have to analyze the system in different ways that are mutually incompatible, but both valid to answer different kinds of questions. So in that case, it's a theorem, but I think it's a much more widespread phenomena that applies to many cases where we can't prove it as a theorem, but it's a piece of wisdom, if you like, and appears to be a very important insight. And if you ignore it, you can get very confused and misguided. Do you think this is a useful hack for ideas that we don't fully understand? Or is this somehow a fundamental property of all or many ideas, that you can take multiple perspectives and they're both true? Well, I think it's both. So it's both the answer to all questions. Yes, that's right. It's not either or, it's both. It's paralyzing to think that we live in a world that's fundamentally surrounded by complementary ideas. Because we somehow want to attach ourselves to absolute truths, and absolute truths certainly don't like the idea of complementarity. Yes, Einstein was very uncomfortable with complementarity. And in a broad sense, the famous Bohr Einstein debates revolved around this question of whether the complementarity that is a foundational feature of quantum mechanics, as we have it, is a permanent feature of the universe and our description of nature. And so far, quantum mechanics wins. And it's gone from triumph to triumph. Whether complementarity is rock bottom, I guess, you can never be sure. I mean, but it looks awfully good and it's been very successful. And certainly, complementarity has been extremely useful and fruitful in that domain, including some of Einstein's attempts to challenge it with the famous Einstein Podolsky Rosen experiment turned out to be confirmations that have been useful in themselves. But so thinking about these things was fruitful, but not in the way that Einstein hoped. Yeah, so as I said, in the case of quantum mechanics and this dilemma or dichotomy between processing the wave function in different ways, it's a theorem. They're mutually incompatible and the physical correlate of that is the Heisenberg uncertainty principle you can't have position and momentum determined at once. But in other cases, like one that I like to think about or like to point out as an example is free will and determinism. It's much less of a theorem and more a kind of way of thinking about things that I think is reassuring and avoids a lot of unnecessary quarreling and confusion. The quarreling I'm okay with and the confusion I'm okay with, I mean, people debate about difficult ideas, but the question is whether it could be almost a fundamental truth. I think it is a fundamental truth. That free will is both an illusion and not. Yes, I think that's correct. There's a reason why people say quantum mechanics is weird and complementarity is a big part of that. To say that our actual whole world is weird, the whole hierarchy of the universe is weird in this kind of particular way, and it's quite profound, but it's also humbling because it's like we're never going to be on sturdy ground in the way that humans like to be. It's like you have to embrace that this whole thing is like unsteady mess. It's one of many lessons in humility that we run into in profound understanding of the world. The Copernican revolution was one, that the earth is not the center of the universe. Darwinian evolution is another, that humans are not the pinnacle of God's creation and the apparent result of deep understanding of physical reality, that mind emerges from matter and there's no call on special life forces or souls. These are all lessons in humility, and I actually find complementarity a liberating concept. It's, okay, you know, we... Yeah, it is in a way. That is what I remember. There's a story about Dr. Johnson, and he's talking with Boswell, and Boswell was, they were discussing a sermon that they'd both heard, and the sort of culmination of the sermon was the speaker saying, I accept the universe. And Dr. Johnson said, well, damn well better. And there's a certain joy in accepting the universe because it's mind expanding. And to me, complementarity also suggests tolerance, suggests opportunities for understanding things in different ways that add to rather than detract from understanding. So I think it's an opportunity for mind expansion and demanding that there's only one way to think about things can be very limiting. On the free will one, that's a trippy one, though. To think like I am the decider of my own actions and at the same time I'm not is tricky to think about, but there does seem to be some kind of profound truth in that. I get, well, I think it is tied up. It will turn out to be tied up when we understand things better with these issues of self awareness and where we get, what we perceive as making choices, what does that really mean and what's going on under the hood. But I'm speculating about a future understanding that's not in place at present. Your sense there will always be, like as you dig into the self awareness thing, there'll always be some places where complementarity is gonna show up. Oh, definitely, yeah. I mean, there will be, how should I say? There'll be kind of a God's eye view which sees everything that's going on in the computer or the brain. And then there's the brain's own view or the central processor or whatever it is, what we call the self, the consciousness, that's only aware of a very small part of it. And those are very different. Those are, so the God's eye view can be deterministic while the self view sees free will. I'm pretty sure that's how it's gonna work out actually. But as it stands, free will is a concept that we definitely, at least I feel I definitely experience, I can choose to do one thing then another. And other people I think are sufficiently similar to me that I trust that they feel the same way. And it's an essential concept in psychology and law and so forth. But at the same time, I think that mind emerges from matter and that there's an alternative description of matter that's up to subtleties about quantum mechanics, which I don't think are relevant here, really is deterministic. Let me ask you about some particles. Okay. First the absurd question, almost like a question that like Plato would ask. What is the smallest thing in the universe? As far as we know, the fundamental particles out of which we build our most successful description of nature are points. They don't have any internal structure. So that's as small as can be. So what does that mean operationally? That means that they obey equations that describe entities that are singular concentrations of energy, momentum, angular momentum, the things that particles have, but localized at individual points. Now that mathematical structure is only revealed partially in the world because to process the wave function in a way that accesses information about the precise position of things, you have to apply a lot of energy and that's an idealization and you can apply infinite amount of energy to determine a precise position. But at the mathematical level, we build the world out of particles that are points. So do they actually exist and what are we talking about? Oh, they exist. So let me ask sort of do quarks exist? Yes, do electrons exist? Yes, do photons exist? Yes. But what does it mean for them to exist? Okay, so well, the hard answer to that, the precise answer is that we construct the world out of equations that contain entities that are reproducible, that exist in vast numbers throughout the universe, that have definite properties of mass, spin and a few others that we call electrons and what an electron is is defined by the equations that it satisfies theoretically and we find that there are many, many exemplars of that entity in the physical world. So in the case of electrons, we can isolate them and study them and individual ones in great detail and we can check that they all actually are identical and that's why chemistry works and yes. So in that case, it's very tangible. Similarly with photons, you can study them individually, the units of light and nowadays, it's very practical to study individual photons and determine their spin and their other basic properties and check out the equations in great detail. For quarks and gluons, which are the other two main ingredients of our model of matter that's so successful, it's a little more complicated because the quarks and gluons that appear in our equations don't appear directly as particles you can isolate and study individually. They always occur within what are called bound states or structures like protons. A proton, roughly speaking, is composed of three quarks and a lot of gluons but we can detect them in a remarkably direct way actually nowadays, whereas at relatively low energies, the behavior of quarks is complicated. At high energies, they can propagate through space relatively freely for a while and we can see their tracks. So ultimately, they get recaptured into protons and other mesons and funny things but for a short time, they propagate freely and while that happens, we can take snapshots and see their manifestations. Actually, this kind of thing is exactly what I got the Nobel Prize for, predicting that this would work. And similarly for gluons, although you can't isolate them as individual particles and study them in the same way that we study electrons, say, you can use them theoretically as entities out of which you build tangible things that we actually do observe but also you can, at accelerators at high energy, you can liberate them for brief periods of time and study and get convincing evidence that they leave tracks and you can get convincing evidence that they were there and have the properties that we wanted them to have. Can we talk about asymptotic freedom, this very idea that you won the Nobel Prize for? Yeah. So it describes a very weird effect to me, the weird in the following way. So the way I think of most forces or interactions, the closer you are, the stronger the effect, the stronger the force, right? With quarks, the close they are, the less so the strong interaction. And in fact, they're basically act like free particles when they're very close. That's right, yes. But this requires a huge amount of energy. Like can you describe me why, how does this even work? How weird it is? A proper description must bring in quantum mechanics and relativity and it's, so a proper description and equations, so a proper description really is probably more than we have time for and require quite a bit of patience on your part, but. How does relativity come into play? Wait, wait a minute. Relativity is important because when we talk about trying to think about short distances, we have to think about very large momenta and very large momenta are connected to very large energy in relativity. And so the connection between how things behave at short distances and how things behave at high energy really is connected through relativity in sort of a slightly backhanded way. Quantum mechanics indicates that short, to get to analyze short distances, you need to bring in probes that carry a lot of momentum. This again is related to uncertainty because it's the fact that you have to bring in a lot of momentum that interferes with the possibility of determining position and momentum at the same time. If you want to determine position, you have to use instruments that bring in a lot of momentum. And because of that, those same instruments can't also measure momentum because they're disturbing the momentum that, and then the momentum brings in energy and yeah. So that there's also the effect that asymptotic freedom comes from the possibility of spontaneously making quarks and gluons for short amounts of time that fluctuate into existence and out of existence. And the fact that that can be done with a very little amount of energy and uncertainty and energy translates into uncertainty and time. So if you do that for a short time, you can do that. Well, it's all comes in a package. So I told you it would take a while to really explain, but the results can be understood. I mean, we can state the results pretty simply, I think. So in everyday life, we do encounter some forces that increase with distance and kind of turn off at short distances. That's the way rubber bands work, if you think about it, or if you pull them hard, they resist, but they get flabby if the rubber band is not pulled. And so there are, that can happen in the physical world, but what's really difficult is to see how that could be a fundamental force that's consistent with everything else we know. And that's what asymptotic freedom is. It says that there's a very particular kind of fundamental force that involves special particles called gluons with very special properties that enables that kind of behavior. So there were experiment, at the time we did our work, there were experimental indications that quarks and gluons did have this kind of property, but there were no equations that were capable of capturing it. And we found the equations and showed how they work and showed how they, that they were basically unique. And this led to a complete theory of how the strong interaction works, which is the quantum chromodynamics we mentioned earlier. And so that's the phenomenon that quarks and gluons interact very, very weakly when they're close together. That's connected through relativity with the fact that they also interact very, very weakly at high energies. So if you have, so at high energies, the simplicity of the fundamental interaction gets revealed. At the time we did our work, the clues were very subtle, but nowadays at what are now high energy accelerators, it's all obvious. So we would have had a much, well, somebody would have had a much easier time 20 years later, looking at the data, you can sort of see the quarks and gluons. As I mentioned, they leave these short tracks that would have been much, much easier, but from fundamental, from indirect clues, we were able to piece together enough to make that behavior a prediction rather than a post diction, right? So it becomes obvious at high energies. It becomes very obvious. When we first did this work, it was frontiers of high energy physics and at big international conferences, there would always be sessions on testing QCD and whether this proposed description of the strong interaction was in fact correct and so forth. And it was very exciting. But nowadays the same kind of work, but much more precise with calculations to more accuracy and experiments that are much more precise and comparisons that are very precise. Now it's called calculating backgrounds because people take this for granted and wanna see deviations from the theory, which would be the new discoveries. Yeah, the cutting edge becomes a foundation and the foundation becomes boring. Yes. Is there some, for basic explanation purposes, is there something to be said about strong interactions in the context of the strong nuclear force for the attraction between protons and neutrons versus the interaction between quarks within protons? Well, quarks and gluons have the same relation basically to nuclear physics as electrons and photons have to atomic and molecular physics. So atoms and photons are the dynamic entities that really come into play in chemistry and atomic physics. Of course, you have to have the atomic nuclei, but those are small and relatively inert, really the dynamical part. And for most purposes of chemistry, you just say that you have this tiny little nucleus, which QCD gives you. Don't worry about it. It just, it's there. The real action is the electrons moving around and exchanging and things like that. Okay, but we want it to understand the nucleus too. And so atoms are sort of quantum mechanical clouds of electrons held together by electrical forces, which is photons. And then this radiation, which is another aspect of photons. That's where all the fun happens is the electrons and the photons. Yeah, that's right. And the nucleus are kind of the, well, they give the positive charge and most of the mass of matter, but they don't, since they're so heavy, they don't move very much in chemistry. And I'm oversimplifying drastically. They're not contributing much to the interaction in chemistry. For most purposes in chemistry, you can just idealize them as concentrations of positive mass and charge that are, you don't have to look inside, but people are curious what's inside. And that was a big thing on the agenda of 20th century physics starting in the 19, well, starting with the 20th century and unfolding throughout of trying to understand what forces held the atomic nucleus together, what it was and so. Anyway, the story that emerges from QCD is that very similar to the way that, well, broadly similar to the way that clouds of electrons held together by electrical forces give you atoms and ultimately molecules. Protons and neutrons are like atoms made now out of quarks, quark clouds held together by gluons, which are like the photons that give the electric forces, but this is giving a different force, the strong force. And the residual forces between protons and neutrons that are leftover from the basic binding are like the residual forces between atoms that give molecules, but in the case of protons and neutrons, it gives you atomic nuclei. So again, for definitional purposes, QCD, quantum chromodynamics, is basically the physics of strong interaction. Yeah, we understand, we now would understand, I think most physicists would say it's the theory of quarks and gluons and how they interact. But it's a very precise, and I think it's fair to say, very beautiful theory based on mathematical symmetry of a high order, and another thing that's beautiful about it is that it's kind of in the same family as electrodynamics. The conceptual structure of the equations are very similar. They're based on having particles that respond to charge in a very symmetric way. In the case of electrodynamics, it's photons that respond to electric charge. In the case of quantum chromodynamics, there are three kinds of charge that we call colors, but they're nothing like colors. They really are like different kinds of charge. But they rhyme with the same kind of, like it's similar kind of dynamics. Similar kind of dynamics. I'd like to say that QCD is like QED on steroids. And instead of one photon, you have eight gluons. Instead of one charge, you have three color charges. But there's a strong family resemblance between them. But the context in which QCD does this thing is it's much higher energies. Like that's where it comes to life. Well, it's a stronger force, so that to access how it works and kind of pry things apart, you have to inject more energy. And so that gives us, in some sense, a hint of how things were in the earlier universe. Yeah, well, in that regard, asymptotic freedom is a tremendous blessing because it means things get simpler at high energy. The universe was born free. Born free. That's very good, yes. Universe was born. So in atomic physics, a similar thing happens in the theory of stars. Stars are hot enough that the interactions between electrons and photons, they're liberated. They don't form atoms anymore. They make a plasma, which in some ways is simpler to understand. You don't have complicated chemistry. And in the early universe, according to QCD, similarly atomic nuclei dissolved and take the constituent quarks and gluons, which are moving around very fast and interacting in relatively simple ways. And so this opened up the early universe to scientific calculation. Can I ask you about some other weird particles that make up our universe? What are axions? And what is the strong CP problem? Okay, so let me start with what the strong CP problem is. First of all, well, C is charge conjugation, which is the transformation, the notional transformation, if you like, that changes all particles into their antiparticles. And the concept of C symmetry, charge conjugation symmetry, is that if you do that, you find the same laws that would work. So the laws are symmetric if the behavior that particles exhibit is the same as the behavior you get with all their antiparticles. And then P is parity, which is also called spatial inversion. It's basically looking at a mirror universe and saying that the laws that are obeyed in a mirror universe, when you look, that the mirror images obey the same laws as the sources of their images. There's no way of telling left from right, for instance, that the laws don't distinguish between left and right. Now, in the mid 20th century, people discovered that both of those are not quite true. Really, the equation that the mirror universe, the universe that you see in a mirror is not gonna obey the same laws as the universe that we actually interpret. You would be able to tell if you did the right kind of experiments, which was the mirror and which was the real thing. Anyway, that. That's the parity and they show that the parity doesn't necessarily hold. It doesn't quite hold. Examining what the exceptions are turned out to be, to lead to all kinds of insight about the nature of fundamental interactions, especially properties of neutrinos and the weak interaction, it's a long story. But it's a very, it's a. So you just define the C and the P, the conjugation, the charge conjugation. Now that I've done that, I wanna. What's the problem? Shove them off. Okay, great. Because it's easier to talk about T, which is time reversal symmetry. We have very good reasons to think CPT is an accurate symmetry of nature. It's on the same level as relativity and quantum mechanics, basically. So that better be true. Or else we. So it's symmetric when you. When you do. When you do conjugation parity and time. And time and space reversal. If you do all three, then you get the same physical consequences. Now, so, but that means that CP is equivalent to T. But what's observed in the world is that T is not quite an accurate symmetry of nature, either. So most phenomena of, at the fundamental level. So interactions among elementary particles and the basic gravitational interaction. If you ran them backwards in time, you'd get the same laws. So if, again, going back. This time we don't talk about a mirror, but we talk about a movie. If you take a movie and then run it backwards, that's the time reversal. It's good to think about a mirror in time. Yeah, it's like a mirror in time. If you run the movie backwards, it would look very strange if you were looking at complicated objects and a Charlie Chaplin movie or whatever. It would look very strange if you ran it backwards in time. But at the level of basic interactions, if you were able to look at the atoms and the quarks involved, they would obey the same laws. They do a very good approximation, but not exactly. So this is not exactly, that means you could tell. You could tell, but you'd have to do very, very subtle experiments with at high energy accelerators to take a movie that looked different when you ran it backwards. This was a discovery by two great physicists named Jim Cronin and Val Fitch in the mid 1960s. Previous to that, over all the centuries of development of physics with all its precise laws, they did seem to have this gratuitous property that they look the same if you run the equations backwards. It's kind of an embarrassing property actually because life isn't like that. So empirical reality does not have this imagery in any obvious way. And yet the laws did. It's almost like the laws of physics are missing something fundamental about life if it holds that property, right? Well, that's the embarrassing nature of it. Yeah, it's embarrassing. Well, people worked hard at what's, this is a problem that's thought to belong to the foundations of statistical mechanics or the foundations of thermodynamics to understand how behavior, which is grossly not symmetric with respect to reversing the direction of time in large objects, how that can emerge from equations which are symmetric with respect to changing the direction of time to a very good approximation. And that's still an interesting endeavor. That's interesting. And actually it's an exciting frontier of physics now to sort of explore the boundary between when that's true and when it's not true. When you get to smaller objects and exceptions like time crystals. I definitely have to ask you about time crystals in a second here. But so the CP problem and T, so there's all of these. We're in danger of infinite regress, but we have to convert soon. So. Can't possibly be turtles all the way down. We're gonna get to the bottom turtle. So it became, so it got to be a real, I mean, it's a really puzzling thing why the laws should have this very odd property that we don't need. And in fact, it's kind of an embarrassment in addressing empirical reality. But it seemed to be almost, it seemed to be exactly true for a long time. And then almost true. And in way, almost true is even, is more disturbing than exactly true because exactly true, it could have been just a fundamental feature of the world. And at some level you just have to take it as it is. And if it's a beautiful, easily articulatable regularity, you could say that, okay, that's fine as a fundamental law of nature. But to say that it's approximately true, but not exactly, that's weird. So, and then, so there was great progress in the late part of the 20th century in getting to an understanding of fundamental interactions in general that shed light on this issue. It turns out that the basic principles of relativity and quantum mechanics, plus the kind of high degree of symmetry that we found, the so called gauge symmetry that characterizes the fundamental interactions, when you put all that together, it's a very, very constraining framework. And it has some indirect consequences because the possible interactions are so constrained. And one of the indirect consequences is that the possibilities for violating the symmetry between forwards and backwards in time are very limited. They're basically only two. And one of them occurs and leads to a very rich theory that explains the Cronin Fish experiment and a lot of things that have been done subsequently has been used to make all kinds of successful predictions. So that's turned out to be a very rich interaction. It's esoteric and the effects only show up at accelerators and are small and so on, but they might've been very important in the early universe and lead to them be connected to the asymmetry between matter and antimatter in the present universe. And so, but that's another digression. The point is that that was fine. That was a triumph to say that there was one possible kind of interaction that would violate time reversal symmetry. And sure enough, there it is. But the other kind doesn't occur. So we still got a problem. Why doesn't it occur? So we're close to really finally understanding this profound gratuitous feature of the world that is almost but not quite symmetric under reversing the direction of time, but not quite there. And to understand that last bit is a challenging frontier of physics today. And we have a promising proposal for how it works, which is a kind of theory of evolution. So there's this possible interaction, which we call a coupling, and there's a numerical quantity that tells us how strong that is. And traditionally in physics, we think of these kinds of numerical quantities as constants of nature that you just have to put them in. From experiment, they have a certain value and that's it. And who am I to question what God doing? They're just constant. Well, they seem to be just constants. I'm just wondering. But in this case, it's been fruitful to think and work out a theory where that strength of interaction is actually not a constant. It's a fun, it's a field. It's a, fields are the fundamental ingredients of modern physics. Like there's an electron field, there's a photon field, which is also called the electromagnetic field. And so all of these particles are manifestations of different fields. And there could be a field, something that depends on space and time. So a dynamical entity instead of just a constant here. And if you do things in a nice way, that's very symmetric, very much suggested aesthetically by the theory. But the theory we do have, then you find that you get a field which as it evolves from the early universe, settles down to a value that's just right to make the laws very nearly exact, invariant or symmetric with respect to reversal of time. It might appear as a constant, but it's actually a field that evolved over time. It evolved over time, okay. But when you examine this proposal in detail, you find that it hasn't quite settled down to exactly zero. There it's still, the field is still moving around a little bit. And because the motion is so, the motion is so difficult. The material is so rigid. And this material, the field that fills all space is so rigid. Even small amounts of motion can involve lots of energy. And that energy takes the form of particles, fields that are in motion are always associated with particles. And those are the axioms. And if you calculate how much energy is in these residual oscillations, this axiom gas that fills all the universe, if this fundamental theory is correct, you get just the right amount to make the dark matter that astronomers want. And it has just the right properties. So I'd love to believe that. So that might be a thing that unlocks, might be the key to understanding dark matter. Yeah, I'd like to think so. And many, many physicists are coming around to this point of view, which I've been a voice in the wilderness. I was a voice in the wilderness for a long time, but now it's become very popular, maybe even dominant. So almost like, so this axion particle slash field would be the thing that explains dark matter. It explains, yeah, would solve this fundamental question of finally, of why the laws are almost, but not quite exactly the same if you run them backwards in time. And then seemingly in a totally different conceptual universe, it would also provide, give us an understanding of the dark matter. That's not what it was designed for. And the theory wasn't proposed with that in mind, but when you work out the equations, that's what you get. That's always a good sign. Yes. I think I vaguely read somewhere that there may be early experimental validation of axion. Is that, am I reading the wrong? Well, there've been quite a few false alarms and I think there are some of them still, people desperately wanna find this thing. And, but I don't think any of them are convincing at this point, but there are very ambitious experiments and kind of new, you have to design new kinds of antennas that are capable of detecting these predicted particles. And it's very difficult. They interact very, very weakly. If it were easy, it would have been done already. But I think there's good hope that we can get down to the required sensitivity and actually test whether these ideas are right in coming years or maybe decades. And then understand one of the big mysteries, like literally big in terms of its fraction of the universe is dark matter. Yes. Let me ask you about, you mentioned a few times, time crystals. What are they? These things are, it's a very beautiful idea when we start to treat space and time as similar frameworks. Yes, right. Physical phenomena. Right, that's what motivated it. First of all, what are crystals? Yeah. And what are time crystals? Okay, so crystals are orderly arrangements of atoms in space. And many materials, if you cool them down gently, will form crystals. And so we say that that's a state of matter that forms spontaneously. And an important feature of that state of matter is that the end result, the crystal, has less symmetry than the equations that give rise to the crystal. So the equations, the basic equations of physics are the same if you move a little bit. So you can move, they're homogeneous, but crystals aren't. The atoms are in particular place, so they have less symmetry. And time crystals are the same thing in time, basically. But of course, so it's not positions of atoms, but it's orderly behavior that certain states of matter will arrange themselves into spontaneously if you treat them gently and let them do what they want to do. But repeat in that same way indefinitely. That's the crystalline form. You can also have time liquids, or you can have all kinds of other states of matter. You can also have space time crystals where the pattern only repeats if with each step of time, you also move at a certain direction in space. So yeah, basically it's states of matter that displace structure in time spontaneously. So here's the difference. When it happens in time, it sure looks a lot like it's motion, and if it repeats indefinitely, it sure looks a lot like perpetual motion. Yeah. Like looks like free lunch. And I was told that there's no such thing as free lunch. Does this violate laws of thermodynamics? No, but it requires a critical examination of the laws of thermodynamics. I mean, let me say on background that the laws of thermodynamics are not fundamental laws of physics. There are things we prove under certain circumstances emerge from the fundamental laws of physics. They're not, we don't posit them separately. They're meant to be deduced, and they can be deduced under limited circumstances, but not necessarily universally. And we're finding some of the subtleties and sort of accept edge cases where they don't apply in a straightforward way. And this is one. So time crystals do obey, do have this structure in time, but it's not a free lunch because although in a sense, things are moving, they're already doing what they want to do. They're in the, so if you want to extract energy from it, you're gonna be foiled because there's no spare energy there. So you can add energy to it and kind of disturb it, but you can't extract energy from this motion because it's gonna, it wants to do, And the extinction event that let the mammals and ultimately humans inherit the Earth from the dinosaurs occurred on December 30th. And all of human history is a small part of the last day. And so, yes, so we're occupying only, and a human lifetime is a very, very infinitesimal part of this interval of these gigantic cosmic reaches of time. And in space, we can tell a very similar story. In fact, it's convenient to think that the size of the universe is the distance that light can travel in 13.8 billion years. So it's 13.8 billion light years. That's how far you can see out. That's how far signals can reach us. And that is a big distance. That is a big distance because compared to that, the Earth is a fraction of a light second. So again, it's really, really big. And so if we wanna think about the universe as a whole in space and time, we really need a different kind of imagination. It's not something you can grasp in terms of psychological time in a useful way. You have to think, you have to use exponential notation and abstract concepts to really get any hold on these vast times and spaces. On the other hand, let me hasten to add that that doesn't make us small or make the time that we have to us small. Because again, looking at those pictures of what our minds are and some of the components of our minds, these beautiful drawings of the cellular patterns inside the brain, you see that there are many, many, many processing units. And if you analyze how fast they operate, I tried to estimate how many thoughts a person can have in a lifetime. That's kind of a fuzzy question, but I'm very proud that I was able to define it pretty precisely. And it turns out we have time for billions of meaningful thoughts in a lifetime. So it's a lot. We shouldn't think of ourselves as terribly small either in space or in time, because although we're small in those dimensions compared to the universe, we're large compared to meaningful units of processing information and being able to conceptualize and understand things. Yeah, but 99% of those thoughts are probably food, sex, or internet related. Well, yeah, well, they're not necessarily, that's right. Only like point one is Nobel Prize winning ideas. That's true, but there's more to life than winning Nobel Prizes. How did you do that calculate? Can you maybe break that apart a little bit, just kind of for fun, sort of an intuition of how we calculate the number of thoughts? The number of thoughts, right. It's necessarily imprecise because a lot of things are going on in different ways and what is a thought. But there are several things that point to more or less the same rate of being able to have meaningful thoughts. For instance, the one that I think is maybe the most penetrating is how fast we can process visual images. How do we do that? If you've ever watched old movies, you can see that, well, any movie, in fact, a motion picture is really not a motion picture. It's a series of snapshots that are playing one after the other and it's because our brains also work that way. We take snapshots of the world, integrate over a certain time and then go on to the next one and then by post processing, create the illusion of continuity and flow, we can deal with that. And if the flicker rate is too slow, then you start to see that it's a series of snapshots and you can ask, what is the crossover? When does it change from being something that is matched to our processing speed versus too fast? And it turns out about 40 per second. And then if you take 40 per second as how well, how fast we can process visual images, you get to several billions of thoughts. If you, similarly, if you ask what are some of the fastest things that people can do? Well, they can play video games, they can play the piano very fast if they're skilled at it. And again, you get to similar units or how fast can people talk? You get to similar, you know, within a couple of orders of magnitude, you get more or less to the same idea. So that's how you can say that there's billions of meaningful, there's room for billions of meaningful thoughts. I won't argue for exactly two billion versus 1.8 billion. It's not that kind of question, but I think any estimate that's reasonable will come out within, say, 100 billion and 100 million. So it's a lot. It would be interesting to map out for an individual human being the landscape of thoughts that they've sort of traveled. If you think of thoughts as a set of trajectories, what that landscape looks like. I mean, I've been recently really thinking about this Richard Dawkins idea of memes and just all this ideas and the evolution of ideas inside of one particular human mind and how they're then changed and evolved by interaction with other human beings. It's interesting to think about. So if you think the number is billions, you think there's also social interaction. So these aren't like there's interaction in the same way you have interaction with particles. There's interaction between human thoughts that perhaps that interaction in itself is fundamental to the process of thinking. Like without social interaction, we would be like stuck, like walking in a circle. We need the perturbation of other humans to create change and evolution. Once you bring in concepts of interactions and correlations and relations, then you have what's called a combinatorial explosion that the number of possibilities expands exponentially technically with the number of things you're considering. And it can easily rapidly outstrip these billions of thoughts that we're talking about. So we definitely cannot by brute force master complex situations or think of all the possibilities in a complex situations. I mean, even something as relatively simple as chess is still something that human beings can't comprehend completely. Even the best players lose, still sometimes lose and they consistently lose to computers these days. And in computer science, there's a concept of NP complete. So large classes of problems when you scale them up beyond a few individuals become intractable. And so that in that sense, the world is inexhaustible. And that makes it beautiful that we can make any laws that generalize efficiently and well can compress all of that combinatorial complexity just like a simple rule. That in itself is beautiful. It's a happy situation. And I think that we can find general principles of sort of of the operating system that are comprehensible, simple, extremely powerful and let us control things very well and ask profound questions. And on the other hand, that the world is going to be inexhaustible. That once we start asking about relationships and how they evolve and social interactions and we'll never have a theory of everything in any meaningful sense because that. Of everything, everything, truly everything is. Can I ask you about the Big Bang? So we talked about the space and time are really big. But then, and we humans give a lot of meaning to the word space and time in our like daily lives. But then can we talk about this moment of beginning and how we're supposed to think about it? That at the moment of the Big Bang, everything was what, like infinitely small and then it just blew up? We have to be careful here because there's a common misconception that the Big Bang is like the explosion of a bomb in empty space that fills up the surrounding place. that's the lowest energy configuration that there is, so you can't get further energy out of it. So in theory, I guess perpetual motion, you would be able to extract energy from it if such a thing was to be created, you can then milk it for energy. Well, what's usually meant in the literature of perpetual motion is a kind of macroscopic motion that you could extract energy from and somehow it would crank back up. That's not the case here. If you want to extract energy, this motion is not something you can extract energy from. If you intervene in the behavior, you can change it, but only by injecting energy, not by taking away energy. You mentioned that a theory of everything may be quite difficult to come by. A theory of everything broadly defined meaning like truly a theory of everything, but let's look at a more narrow theory of everything, which is the way it's used often in physics is a theory that unifies our current laws of physics, general relativity, quantum field theory. Do you have thoughts on this dream of a theory of everything in physics? How close are we? Is there any promising ideas out there in your view? Well, it would be nice to have. It would be aesthetically pleasing. Will it be useful? No, probably not. Well, I shouldn't, it's dangerous to say that, but probably not. I think we, certainly not in the foreseeable future. Maybe to understand black holes. Yeah, but that's, yes, maybe to understand black holes, but that's not useful. That's my book. And well, not only, I mean, to understand it's worse, it's not useful in the sense that we're not gonna be basing any technology anytime soon on black holes, but it's more severe than that, I would say it's that the kinds of questions about black holes that we can't answer within the framework of existing theory are ones that are not going to be susceptible to astronomical observation in the foreseeable future. They're questions about very, very small black holes when quantum effects come into play so that black holes are, not black holes, they're emitting this discovery of Hawking called Hawking radiation, which for astronomical black holes is a tiny, tiny effect that no one has ever observed, it's a prediction that's never been checked. So like supermassive black holes, that doesn't apply? No, no, the predicted rate of radiation from those black holes is so tiny that it's absolutely unobservable and is overwhelmed by all kinds of other effects. So it's not practical in the sense of technology, it's not even practical in the sense of application to astronomy, our existing theory of general relativity and quantum theory and our theory of the different fundamental forces is perfectly adequate to all problems of technology, of technology, for sure, and almost all problems of astrophysics and cosmology that appear except with the notable exception of the extremely early universe, if you want to ask, what happened before the Big Bang or what happened right at the Big Bang, which would be a great thing to understand, of course. Yes. We don't, but. But what about the engineering question? So if we look at space travel, so I think you've spoken with him, Eric Weinstein. Oh, yeah. Really, you know, he says things like we want to get off this planet. His intuition is almost motivated for the engineering project of space exploration in order for us to crack this problem of becoming a multi planetary species, we have to solve the physics problem. His intuition is like, if we figure out this, what he calls the source code, which is like, like a theory of everything might give us clues on how to start hacking the fabric of reality, like getting shortcuts, right? It might. I can't say that, you know, I can't say that it won't, but I can say that in the 1970s and early 1980s, we achieved huge steps in understanding matter. QCD, much better understanding of the weak interaction, much better understanding of quantum mechanics in general. And it's had minimal impact on technology. On rocket design, on propulsion. On rocket design, on anything, any technology whatsoever. And now we're talking about much more esoteric things. And since I don't know what they are, I can't say for sure that they won't affect technology, but I'm very, very skeptical that they would affect technology. Because, you know, to access them, you need very exotic circumstances to make new kinds of particles with high energy. You need accelerators that are very expensive and you don't produce many of them, and so forth. You know, it's just, it's a pipe dream, I think. Yeah, about space exploration. I'm not sure exactly what he has in mind, but to me, it's more a problem of, I don't know, something between biology and... And information processing. Processing, what you mean, how should I... I think human bodies are not well adapted to space. Even Mars, which is the closest thing to a kind of human environment that we're gonna find anywhere close by. Very, very difficult to maintain humans on Mars. And it's gonna be very expensive and very unstable. But I think, however, if we take a broader view of what it means to bring human civilization outside of the Earth, if we're satisfied with sending mines out there that we can converse with and actuators that we can manipulate and sensors that we can get feedback from, I think that's where it's at. And I think that's so much more realistic. And I think that's the long term future of space exploration. It's not hauling human bodies all over the place. That's just silly. It's possible that human bodies... So like you said, it's a biology problem. What's possible is that we extend human life span in some way, we have to look at a bigger picture. It could be just like you're saying, by sending robots with actuators and kind of extending our limbs. But it could also be extending some aspect of our minds, some information, all those kinds of things. And it could be cyborgs, it could be, it could be... No, we're talking, not getting the fun. It could be, you know, it could be human brains or cells that realize something like human brain architecture within artificial environments, you know, shells, if you like, that are more adapted to the conditions of space. And that, yeah, so that's entirely man machine hybrids, as well as sort of remote outposts that we can communicate with. I think those will happen. Yeah, to me, there's some sense in which, as opposed to understanding the physics of the fundamental fabric of the universe, I think getting to the physics of life, the physics of intelligence, the physics of consciousness will, the physics of information that brings, from which life emerges, that will allow us to do space exploration. Yeah, well, I think physics in the larger sense has a lot to contribute here. Not the physics of finding fundamental new laws in the sense of another quark or axions even. But physics in the sense of, physics has a lot of experience in analyzing complex situations and analyzing new states of matter and devising new kinds of instruments that do clever things. Physics in that sense has enormous amounts to contribute to this kind of endeavor. But I don't think that looking for a so called theory of everything has much to do with it at all. What advice would you give to a young person today with a bit of fire in their eyes, high school student, college student, thinking about what to do with their life, maybe advice about career or bigger advice about life in general? Well, first read fundamentals because there I've tried to give some coherent deep advice. That's fundamentals, 10 keys to reality by Frank Kulczyk. So that's a good place to start. Available everywhere. If you wanna learn what I can tell you. Is there an audio book? I read that ebook. Yes, there is an audio book. There's an audio book, that's awesome. I think it's, I can give three pieces of wise advice that I think are generally applicable. One is to cast a wide net, to really look around and see what looks promising, what catches your imagination and promising. Yeah, and those, you have to balance those two things. You could have things that catch your imagination, but don't look promising in the sense that the questions aren't ripe or, and things that you, and part of what makes things attractive is that, whether you thought you liked them or not, is if you can see that there's ferment and new ideas coming up that become, that's attractive in itself. So when I started out, I thought I was, and when I was an undergraduate, I intended to study philosophy or questions of how mind emerges from matter. But I thought that that wasn't really right. Timing isn't right yet. The right, the timing wasn't right for the kind of mathematical thinking and conceptualization that I really enjoy and am good at. But, so that's one thing, cast a wide net, look around. And that's a pretty easy thing to do today because of the internet. You can look at all kinds of things. You have to be careful though because there's a lot of crap also. But you can sort of tell the difference if you do a little digging. So don't settle on just, what your thesis advisor tells you to do or what your teacher tells you to do. Look for yourself and get a sense of what seems promising, not what seemed promising 10 years ago or, so that's one. Another thing is to, is kind of complimentary to that. Well, they're all complimentary. Complimentary to that is to read history and read the masters, the history of ideas and masters of ideas. I'd benefited enormously from, as early in my career, from reading in physics, Einstein in the original and Feynman's lectures as they were coming out and Darwin. You know, these, you can learn what it, and Galileo, you can learn what it is to wrestle with difficult ideas and how great minds did that. You can learn a lot about style, how to write your ideas up and express them in clear ways. And also just a couple of that with, I also enjoy reading biographies. And biographies, yes, similarly, right, yeah. So it gives you the context of the human being that created those ideas. Right, and brings it down to earth in the sense that, you know, it was really human beings who did this. It's not, and they made mistakes. And yeah, I also got inspiration from Bertrand Russell who was a big hero and H.G. Wells and yeah. So read the masters, make contact with great minds. And when you are sort of narrowing down on a subject, learn about the history of the subject because that really puts in context what you're trying to do and also gives a sense of community and grandeur to the whole enterprise. And then the third piece of advice is complimentary to both those, which is sort of to get the basics under control as soon as possible. So if you wanna do theoretical work in science, you know, you have to learn calculus, multivariable calculus, complex variables, group theory. Nowadays, you have to be highly computer literate if you want to do experimental work. You also have to be computer literate and you have to learn about electronics and optics and instruments. So get that under control as soon as possible because it's like learning a language to produce great works and express yourself fluently and with confidence. It should be your native language. These things should be like your native language. So you're not wondering what is the derivative? This is just part of your, it's in your bones, so to speak, and the sooner that you can do that, then the better. So all those things can be done in parallel and should be. You've accomplished some incredible things in your life, but the sad thing about this thing we have is it ends. Do you think about your mortality? Are you afraid of death? Well, afraid is the wrong word. I mean, I wish it weren't going to happen and I'd like to, but. Do you think about it? I, you know, occasionally I think about, well, I think about it very operationally in the sense that there's always a trade off between exploration and exploitation. This is a classic subject in computer science, actually in machine learning that when you're in an unusual circumstance, you want to explore to see what the landscape is and what, and gather data. But then at some point you want to use that, make, decide, make choices and say, this is what I'm going to do and exploit the knowledge you've accumulated. And the longer the period of exploitation you anticipate, the more exploration you should do in new directions. And so for me, I've had to sort of adjust the balance of exploration and exploitation and. That's it, you've explored quite a lot. Yeah, well, I haven't shut off the exploitation at all. I'm still hoping for. The exploration. The exploration, right. I'm still hoping for 10 or 15 years of top flight performance. But the, several years ago now when I was 50 years old, I was at the Institute for Advanced Study and my office was right under Freeman Dyson's office and we were kind of friendly. And, you know, he found out it was my 50th birthday and said, congratulations. And you should feel liberated because no one expects much of a 50 year old theoretical physicist. And he, and he obviously had felt liberated by reaching a certain age. And yeah, there is something to that. I feel, you know, I feel I don't have to catch, I don't have to keep in touch with the latest hypertechnical developments in particle physics or string theory or something. I, because I'm not gonna, I'm really not gonna be exploiting that. But I, but where I am exploring in these directions of machine learning and things like that. And, but then, but I'm also concentrating within physics on exploiting directions that I've already established and the laws that we already have and doing things like, I'm very actively involved in trying to design, helping people, experimentalists and engineers even to design antennas that are capable of detecting axions. So there, and that's, there we're deep in the exploitation stage. It's not a matter of finding the new laws, but of really, you know, using the laws we have to kind of finish the story off. So it's complicated, but I'm, you know, I'm very happy with my life right now and I'm enjoying it and I don't wanna cloud that by thinking too much that it's gonna come to an end. You know, it's a gift I didn't earn. Is there a good thing to say about why this gift that you've gotten and didn't deserve is so damn enjoyable? So like, what's the meaning of this thing, of life? To me, interacting with people I love, my family, and I have a very wide circle of friends now and I'm trying to produce some institutions that will survive me as well as my work and it's just, it's, how should I say? It's a positive feedback loop when you do something and people appreciate it and then you wanna do more and you get rewarded and it's just, how should I say? This is another gift that I didn't earn and don't understand, but I have a dopamine system and yeah, I'm happy to use it. It seems to get energized by the creative process, by the process of exploration. Very much so. And all of that started from the little fluctuations shortly after the Big Bang. Frank, well, whatever those initial conditions and fluctuations did that created you, I'm glad they did. This is, thank you for all the work you've done, for the many people you've inspired, for the many, of the billion, most of your ideas were pretty useless of the several billions, as it is for all humans, but you had quite a few truly special ideas and thank you for bringing those to the world and thank you for wasting your valuable time with me today, it's truly an honor. It's been a joy and I hope people enjoy it and I think the kind of mind expansion that I've enjoyed by interacting with physical reality at this deep level, I think can be conveyed to and enjoyed by many, many people and that's one of my missions in life, to share it. Beautiful. Thanks for listening to this conversation with Frank Wilczek and thank you to The Information, NatSuite, ExpressVPN, Blinkist and 8sleep. Check them out in the description to support this podcast and now let me leave you with some words from Albert Einstein, nothing happens until something moves. Thanks for listening and hope to see you next time. It is space. It is, yeah. As we understand it, it's the fact, it's the fact or the hypothesis, but well supported up to a point that everywhere in the whole universe, early in the history, matter came together into a very hot, very dense, if you run it backwards in time, matter comes together into a very hot, very dense and yet very homogeneous plasma of all the different kinds of elementary particles and quarks and anti quarks and gluons and photons and electrons and anti electrons, everything, all of that stuff. Like really hot. Really, really, really hot. We're talking about way, way hotter than the surface of the sun. Well, in fact, if you take the equations as they come, the prediction is that the temperature just goes to infinity, but then the equations break down. We don't really, there are various, the equations become infinity equals infinity, so they don't feel that it's called a singularity. We don't really know. This is running the equations backwards, so you can't really get a sensible idea of what happened before the Big Bang. So we need different equations to address the very earliest moments. But so things were hotter and denser. We don't really know why things started out that way. We have a lot of evidence that they did start out that way. But since most of the, we don't get to visit there and do controlled experiments. Most of the record is very, very processed and we have to use very subtle techniques and powerful instruments to get information that has survived. Get closer and closer to the Big Bang. Get closer and closer to the beginning of things. And what's revealed there is that, as I said, there undoubtedly was a period when everything in the universe that we have been able to look at and understand, and that's consistent with everything, is in a condition where it was much, much hotter and much, much denser, but still obeying the laws of physics as we know them today. And then you start with that. So all the matter is in equilibrium. And then with small quantum fluctuations and run it forward, and then it produces, at least in broad strokes, the universe we see around us today. Do you think we'll ever be able to, with the tools of physics, with the way science is, with the way the human mind is, we'll ever be able to get to the moment of the Big Bang in our understanding or even the moment before the Big Bang? Can we understand what happened before the Big Bang? I'm optimistic both that we'll be able to measure more, so observe more, and that we'll be able to figure out more. So they're very, very tangible prospects for observing the extremely early universe, so even much earlier than we can observe now through looking at gravitational waves. Gravitational waves, since they interact so weakly with ordinary matter, sort of send a minimally processed signal from the Big Bang. It's a very weak signal because it's traveled a long way and diffused over long spaces, but people are gearing up to try to detect gravitational waves that could have come from the early universe. Yeah, LIGO's an incredible engineering project. It's the most sensitive, precise devices on Earth. The fact that humans can build something like that is truly awe inspiring from an engineering perspective. Right, but these gravitational waves from the early universe will probably be of a much longer wavelength than LIGO is capable of sensing, so there's a beautiful project that's contemplated to put lasers in different locations in the solar system. We really, really separate it by solar system scale differences, like artificial planets or moons in different places and see the tiny motions of those relative to one another as a signal of radiation from the Big Bang. We can also maybe indirectly see the imprint of gravitational waves from the early universe on the photons, the microwave background radiation. That is our present way of seeing into the earliest universe, but those photons interact much more strongly with matter. They're much more strongly processed, so they don't give us directly such an unprocessed view of the early universe, of the very early universe, but if gravitational waves leave some imprint on that as they move through, we could detect that too, and people are trying, as we speak, working very hard towards that goal. It's so exciting to think about a sensor the size of the solar system. That would be a fantastic, I mean, that would be a pinnacle artifact of human endeavor to me. It would be such an inspiring thing that just we want to know, and we go to these extraordinary lengths of making gigantic things that are also very sophisticated because what you're trying to do, you have to understand how they move. You have to understand the properties of light that are being used, the interference between light, and you have to be able to make the light with lasers and understand the quantum theory and get the timing exactly right. It's an extraordinary endeavor involving all kinds of knowledge from the very small to the very large, and all in the service of curiosity and built on a grand scale, so. Yeah, it would make me proud to be a human if we did that. I love that you're inspired both by the power of theory and the power of experiment. So both, I think, are exceptionally impressive that the human mind can come up with theories that give us a peek into how the universe works, but also construct tools that are way bigger than the evolutionary origins we came from. Right, and by the way, the fact that we can design such things and they work is an extraordinary demonstration that we really do understand a lot. And then in some ways. And it's our ability to answer questions that also leads us to be able to address more ambitious questions. So you mentioned at the Big Bang in the early days, things are pretty homogeneous. Yes. But here we are, sitting on Earth, two hairless apes, you could say, with microphones. In talking about the brief history of things, you said it's much harder to describe Sweden than it is the universe. So there's a lot of complexity. There was a lot of interesting details here. So how does this complexity come to be, do you think? It seems like there's these pockets. Yeah. We don't know how rare of like where hairless apes emerge. Yeah. And then that came from the initial soup that was homogeneous. Was that an accident? Well, we understand in broad outlines how it could happen. We certainly don't understand why it happened exactly in the way it did. Or there are certainly open questions about the origins of life and how inevitable the emergence of intelligence was and how that happened. But in the very broadest terms, the universe early on was quite homogeneous, but not completely homogeneous. There were part in 10,000 fluctuations in density within this primordial plasma. And as time goes on, there's an instability which causes those density contrasts to increase. There's a gravitational instability where it's denser, the gravitational attractions are stronger. And so that brings in more matter and it gets even denser and so on and so on. So there's a natural tendency of matter to clump because of gravitational interactions. And then the equation is complicated. We have lots of things clumping together. Then we know what the laws are, but we have to a certain extent wave our hands about what happens. But basic understanding of chemistry says that if things and the physics of radiation tells us that as things start to clump together, they can radiate, give off some energy. So they don't just, they slow down. As a result, they lose energy. They can collaborate together, cool down, form things like stars, form things like planets. And so in broad terms, there's no mystery. There's, that's what the scenario, that's what the equations tell you should happen. But because it's a process involving many, many fundamental individual units, the application of the laws that govern individual units to these things is very delicate, computationally very difficult. And more profoundly, the equations have this probability of chaos or sensitivity to initial conditions, which tells you tiny differences in the initial state can lead to enormous differences in the subsequent behavior. So physics, fundamental physics at some point says, okay, chemists, biologists, this is your problem. And then again, in broad terms, we know how it's conceivable that the humans and things like that, how complex structure can emerge. It's a matter of having the right kind of temperature and the right kind of stuff. So you need to be able to make chemical bonds that are reasonably stable and be able to make complex structures. And we're very fortunate that carbon has this ability to make backbones and elaborate branchings and things. So you can get complex things that we call biochemistry. And yet the bonds can be broken a little bit with the help of energetic injections from the sun. So you have to have both the possibility of changing, but also the useful degree of stability. And we know at that very, very broad level, physics can tell you that it's conceivable. If you want to know what really happened, what really can happen, then you have to work a bit, go to chemistry. If you want to know what actually happened, then you really have to consult the fossil record and biologists. And so these ways of addressing the issue are complimentary in a sense. They use different kinds of concepts, they use different languages and they address different kinds of questions, but they're not inconsistent, they're just complimentary. It's kind of interesting to think about those early fluctuations as our earliest ancestors. Yes, that's right. So it's amazing to think that this is the modern answer to the, or the modern version of what the Hindu philosophers had, that art thou. If you ask what, okay, those little quantum fluctuations in the early universe are the seeds out of which complexity, including plausibly humans, really evolve. You don't need anything else. That brings up the question of asking for a friend here if there's other pockets of complexity, commonly called as alien intelligent civilizations out there. Well, we don't know for sure, but I have a strong suspicion that the answer is yes because the one case we do have at hand to study here on Earth, we sort of know what the conditions were that were helpful to life, the right kind of temperature, the right kind of star that keeps, maintains that temperature for a long time, the liquid environment of water. And once those conditions emerged on Earth, which was roughly four and a half billion years ago, it wasn't very long before what we call life started to leave relics. So we can find forms of life, primitive forms of life that are almost as old as the Earth itself in the sense that once the Earth was turned from a very hot boiling thing and cooled off into a solid mass with water, life emerged very, very quickly. So it seems that these general conditions for life are enough to make it happen relatively quickly. Now, the other lesson I think that one can draw from this one example, it's dangerous to draw lessons from one example, but that's all we've got, and that the emergence of intelligent life is a different issue altogether. That took a long time and seems to have been pretty contingent for a long time. Well, for most of the history of life, it was single celled things. Even multicellular life only rose about 600 million years ago, so much after. And then intelligence is kind of a luxury. Many more kinds of creatures have big stomachs than big brains. In fact, most have no brains at all in any reasonable sense. And the dinosaurs ruled for a long, long time and some of them were pretty smart, but they were at best bird brains because birds came from the dinosaurs. And it could have stayed that way. And then the emergence of humans was very contingent and kind of a very, very recent development on evolutionary timescales. And you can argue about the level of human intelligence, but I think that's what we're talking about. It's very impressive and can ask these kinds of questions and discuss them intelligently. So I guess my, so this is a long winded answer or justification of my feeling is that the conditions for life in some form are probably satisfied many, many places around the universe and even within our galaxy. I'm not so sure about the emergence of intelligent life or the emergence of technological civilizations. That seems much more contingent and special. And we might, it's conceivable to me that we're the only example in the galaxy. Although, yeah, I don't know one way or the other. I have different opinions on different days of the week. But one of the things that worries me in the spirit of being humble, that our particular kind of intelligence is not very special. So there's all kinds of different intelligences. And even more broadly, there could be many different kinds of life. So the basic definition, and I just had, I think somebody that you know, Sarah Walker, I just had a very long conversation with her about even just the very basic question of trying to define what is life from a physics perspective. Even that question within itself, I think one of the most fundamental questions in science and physics and everything is just trying to get a hold, trying to get some universal laws around the ideas of what is life because that kind of unlocks a bunch of things around life, intelligence, consciousness, all those kinds of things. I agree with you in a sense, but I think that's a dangerous question because the answer can't be any more precise than the question. And the question, what is life, kind of assumes that we have a definition of life and that it's a natural phenomena that can be distinguished. But really there are edge cases like viruses and some people would like to say that electrons have consciousness. So you can't, if you really have fuzzy concepts, it's very hard to reach precise kinds of scientific answers. But I think there's a very fruitful question that's adjacent to it, which has been pursued in different forms for quite a while and is now becoming very sophisticated in reaching in new directions. And that is, what are the states of matter that are possible? So in high school or grade school, you learn about solids, liquids and gases, but that really just scratches the surface of different ways that are distinguishable, that matter can form into macroscopically different, meaningful patterns that we call phases. And then there are precise definitions of what we mean by phases of matter and that have been worked out fruitful over the decades. And we're discovering new states of matter all the time and kind of having to work at what we mean by matter. We're discovering the capabilities of matter to organize in interesting ways. And some of them, like liquid crystals, are important ingredients of life. Our cell membranes are liquid crystals, and that's very important to the way they work. Recently, there's been a development in where we're talking about states of matter that are not static, but that have dynamics, that have characteristic patterns, not only in space, but in time. These are called time crystals, and that's been a development that's just in the last decade or so. It's just really, really flourishing. And so is there a state of matter or a group of states of matter that corresponds to life? Maybe, but the answer can't be any more definite than the question. I mean, I gotta push back on the, those are just words. I mean, I disagree with you. The question points to a direction. The answer might be able to be more precise than the question, because just as you're saying, there is a, we could be discovering certain characteristics and patterns that are associated with a certain type of matter, macroscopically speaking, and that we can then be able to post facto say, this is, let's assign the word life to this kind of matter. I agree with that completely, that's what that's, but that's, so it's not a disagreement. It's very frequent in physics that, or in science, that words that are in common use get refined and reprocessed into scientific terms that's happened for things like force and energy. And so we, in a way, we find out what the useful definition is, or symmetry, for instance. And the common usage may be quite different from the scientific usage, but the scientific usage is special and takes on a life of its own, and we find out what the useful version of it is, the fruitful version of it is. So I do think, so in that spirit, I think if we can identify states of matter or linked states of matter that can carry on processes of self reproduction and development and information processing, we might be tempted to classify those things as life. Well, can I ask you about the craziest one, which is the one we know maybe least about, which is consciousness. Is it possible that there are certain kinds of matter would be able to classify as conscious, meaning like, so there's the panpsychists, right, who are the philosophers who kind of try to imply that all matter has some degree of consciousness, and you can almost construct like a physics of consciousness. Do you, again, we're in such early days of this, but nevertheless, it seems useful to talk about it. Is there some sense from a physics perspective to make sense of consciousness? Is there some hope? Well, again, consciousness is a very imprecise word and loaded with connotations that I think we should, we don't wanna start a scientific analysis with that, I don't think. It's often been important in science to start with simple cases and work up. Consciousness, I think what most people think of when you talk about consciousness is, okay, what am I doing in the world? This is my experience. I have a rich inner life and experience, and where is that in the equations? And I think that's a great question, a great, great question, and actually, I think I'm gearing up to spend part of, I mean, to try to address that in coming years. One version of asking that question, just as you said now, is what is the simplest formulation of that to study? I think I'm much more comfortable with the idea of studying self awareness as opposed to consciousness, because that sort of gets rid of the mystical aura of the thing. And self awareness is in simple, you know, I think contiguous at least with ideas about feedback. So if you have a system that looks at its own state and responds to it, that's a kind of self awareness. And more sophisticated versions could be like in information processing things, computers that look into their own internal state and do something about it. And I think that could also be done in neural nets. This is called recurrent neural nets, which are hard to understand and kind of a frontier. So I think understanding those and gradually building up a kind of profound ability to conceptualize different levels of self awareness. What do you have to not know? And what do you have to know? And when do you know that you don't know it? Or when do you, what do you think you know that you don't really know? And these, I think clarifying those issues, when we clarify those issues and get a rich theory around self awareness, I think that will illuminate the questions about consciousness in a way that, you know, scratching your chin and talking about qualia and blah, blah, blah, blah is never gonna do. Well, I also have a different approach to the whole thing. So there's, from a robotics perspective, you can engineer things that exhibit qualities of consciousness without understanding how things work. And from that perspective, you, it's like a back door, like enter through the psychology door. Precisely, I think we're on the same wavelength here. I think that, and let me just add one comment, which is I think we should try to understand consciousness as we experience it as, in evolutionary terms, and ask ourselves, why, why does it happen? This thing seems useful. Why is it useful? Why is it useful? Interesting question. I think we've got a conscious eyewatch here. Interesting question. Thank you, Siri. Okay. I'll get back to you later. The, and I think what we're gonna, I'm morally certain that what's gonna emerge from analyzing recurrent neural nets and robotic design and advanced computer design is that having this kind of looking at the internal state in a structured way that doesn't look at everything, this guy's has, it's encapsulated, looks at highly processed information, is very selective and makes choices without knowing how they're made. There's, there'll also be an unconscious. I think that that is gonna be, turn out to be really essential to doing efficient information processing. And that's why it evolved, because it's, it's, it's, it's helpful in, because brains come at a high cost. So there has to be, there has to be a good why. And there's a reason, yeah. They're rare in evolution and big brains are rare in evolution and they, they come at a big cost. You mean, if you, you, they, they, they have high metabolic demands. They require, you know, very active lifestyle, warm bloodedness and take, take away from the ability to support metabolism of digestion. And so, so it's, it's, it comes at a high cost. It has to, it has to pay back. Yeah, I think it has a lot of value in social interaction. So I actually am spending the rest of the day today and with our friends that are, our legged friends in robotic form at Boston Dynamics. And I think, so my probably biggest passion

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