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倫納德·薩斯坎德:量子力學、弦論與黑洞

Leonard Susskind: Quantum Mechanics, String Theory, and Black Holes

理論物理學家談量子力學的詮釋、弦論的現狀,以及黑洞資訊悖論背後的時空本質。

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四百個自旋。這個數量小到可以忽略,四百枚硬幣就能裝進上衣口袋。

倫納德·薩斯坎德(Leonard Susskind)在訪談裡給出了一筆賬:想用一臺經典計算機完整存下四百個量子位元的量子態,所需的資訊量超過整個宇宙能容納的上限,前提是把宇宙每一個角落都塞滿,塞到再也塞不進任何東西為止。

一臺由四百個量子位元組成的量子計算機,做四百個量子位元該做的事,毫無壓力。

這組反差把量子計算的意義講清楚了。它跟"更快的計算機"沒有關係。薩斯坎德說得很剋制:那是一類完全不同的東西。

費曼把眼睛閉上,把方程推到一邊

薩斯坎德和理查德·費曼共事過,也是朋友。他描述費曼的工作方式:

他的風格幾乎是閉上眼睛,把正在思考的現象在腦子裡看見。透過視覺化,繞過那些高度數學化、極其精密複雜的技術論證。(薩斯坎德)

薩斯坎德說,這種思維方式對他自己也是天然的。費曼沒有改變他,只給了他一張許可證。

我看到一個人真的在這條路上成功了,他能用一種我認為更簡單、更直接、更直覺的方式做物理。它促使我對自己說,對,這件事你可以做,而且在實踐中能行得通。(薩斯坎德)

被問到自己是不是也這麼幹,他的回答很乾脆:

我不太去想方程,不太去想符號。我先試著把現象本身看見。等我拿到一個自認為成立的洞見,我可能會試著把它翻譯成數學。但我不是數學家,我不是天生的數學家。我夠用,但不算偉大的數學家。(薩斯坎德)

這段話從一個被稱為"弦論之父"的人嘴裡說出來,值得停一停。他的工作恰恰高度數學化,驅動它的順序卻反過來:直覺先行,視覺化先行,隨手塗幾筆方程,最後才翻譯。而翻譯這道工序,有別人比他做得更好。

學物理是在給自己重新佈線

問題在於,量子力學本身極不直覺。那麼"靠直覺做物理"這件事該怎麼成立?

薩斯坎德先拆了"直覺"這個詞:

直覺是什麼意思?意思是你有能力用基本的經典物理去想它,那是我們演化出來的物理,扔石頭、潑水,諸如此類。(薩斯坎德)

量子物理、廣義相對論、量子場論,按這個定義都極不直覺。時間久了,熟悉了,新的直覺會長出來。

我總說這是重新佈線。到今天,我和我很多朋友用量子力學的方式思考,比用經典方式思考更輕鬆。我們太習慣了。(薩斯坎德)

這條重新佈線的能力有個上限。他能習慣量子力學,沒法習慣高維空間。

我們骨子裡是被接好線去看三維的。我甚至沒法視覺化二維或者一維,除非把它放進三維裡去想。如果我要想象一條線,我想的是一條三維空間裡的線,或者紙上的線,而紙在三維裡。(薩斯坎德)

他說自己從來沒辦法用抽象的、純粹的方式,在腦子裡看見一維、二維、四維、五維,而且不認為這有一天會實現,原因是神經佈線就是那麼設定的。

不過人可以學。學數學的方式,學用技巧去想象高維。這跟"自然"是兩回事。一個二維生物怎麼想象三維?他的回答聽上去有點好笑,又很誠實:大機率靠數學、靠方程、靠一些技巧。承認自己想象不出來,然後繞道走。

這大概是整場對話裡反覆出現的一種姿態:先承認侷限,再找工具。

傲慢和謙卑得同時長在一個人身上

話題轉回費曼,轉到"自我"(ego)這件事。薩斯坎德說,科學裡兩樣都得有。

你得有那份傲慢去說,這件事我能做。自然很難,非常非常難,但我夠聰明,我能打贏和自然的這場仗。另一方面,你也得有謙卑,知道自己任何一次都極可能是錯的。(薩斯坎德)

他補了下半句,說得挺冷:你正在想的一切,可能突然就全變了。年輕人會冒出來說一些你聽不懂的話,你會懵在原地。

所以你最好承認自己非常有限,同時又必須能對自己說,我沒那麼有限,這場仗我能贏。能同時握住這兩樣的人,屬於很特殊的一類。(薩斯坎德)

這段值得多想一層。科研圈裡常見兩種失衡:一種人謙卑到不敢下判斷,永遠在等更多證據;另一種人傲慢到把每個反駁都當成別人沒讀懂。薩斯坎德講的,是這兩股力量得一直繃著,鬆掉任何一邊,人就廢了。

他被問到"有沒有懷疑過自己完全錯了",回答區分得很清楚:懷疑過,懷疑的不是能力。

我來自一個非常工人階級的背景,很長時間在學術圈裡都覺得不自在。那些懷疑跟我的能力無關,只是身處一個我家人從未參與過的環境裡的那種不適。(薩斯坎德)

他說自己快二十歲才知道世界上有"物理"這麼個東西。也從沒擔心過能不能拿到教職,這件事壓根沒在他的念頭裡出現過。

訪談者提到自己也常在學術圈感到不適,說不清哪裡不對,只能打個比方:你演奏的是另一種音樂。薩斯坎德的回應是,他沒怎麼想過這件事,只是感覺到了。

我一直覺得自己是局外人,直到某個年紀,突然發現自己成了學術物理界的終極圈內人。那是一個很陡的轉變,而我已經不年輕了,大概五十歲。那是相變,中間沒有過渡帶。(薩斯坎德)

相變這個詞用得妙。水到一百度就開了,沒有"半開"的狀態。一個 outsider 變成 insider 也是這麼發生的。接納來得一點都不緩慢,它根本不給你緩衝期。某一天他發現自己站在某種物理的中心,前面那些不適,一瞬之間全沒了。

四百個量子位元,和一個裝不下的宇宙

現在說量子計算。薩斯坎德先糾正了一個常見說法:量子計算機不只是"利用了量子力學的思路"。

經典計算機當然能模擬量子系統:寫程式碼解薛定諤方程,解量子力學的方程。可經典計算機本身沒有作為一個量子系統在執行。它只是在解方程。

而量子計算機是真的量子系統,它實際在做你程式設計讓它做的那些事。你寫一個量子場論的程式,在經典物理裡,這個程式並沒有真的作為量子場論在計算機裡運轉,它只是在物理上解一些方程。量子計算機是真的在執行量子操作,它內在地滿足不確定性原理,受同樣的限制。(薩斯坎德)

於是有了開頭那筆賬。經典計算機在量子系統面前極其無力,薩斯坎德用的詞是"enormously limited"。四百個量子位元的態,裝不進這個宇宙。這是資訊量的硬上限,跟算力不夠、工程還沒做好無關。

量子計算到底能解鎖什麼演算法?他的判斷比很多人保守得多。

我們知道有一小撮演算法能顯著超過經典計算機,可以有指數級的優勢。數學上這是確定的陳述,還沒有人在實驗室裡演示出來,但數學上我們知道它成立。可同時越來越清楚的是,這類問題的數量非常有限。只有非常非常特殊的問題才表現出那麼大的量子優勢。(薩斯坎德)

他點了名:大數分解。這個被反覆宣傳的殺手級應用,在他看來幾乎跟量子力學沒什麼關係。

量子計算機能快速解決分解問題,這件事看起來幾乎是個偶然。那些問題顯得極其特殊、罕見,我看不出它們將來會變多。(薩斯坎德)

真正的富礦在別處。化學、固體物理、材料科學、量子引力、各種量子場論,那裡有一大堆系統。

邏輯是這樣的:當筆和紙解不動、經典計算機也解不動的時候,就造一個那個系統的版本,讓它真的運轉起來,在受控條件下改它、操縱它、對它做測量。

有人會問:為什麼不直接對真實系統做實驗?

真實系統是受限的。你改不了它們,操縱不了,沒法把它們放慢到可以戳進去看,沒法任意修改它們來看看如果我動一點點會發生什麼。(薩斯坎德)

這幾句話點到了實驗科學的老問題。真實系統不配合你,它只肯以自己那副樣子存在。量子計算機的價值在於,你能把它撥慢、撥快、改一個引數、再改回來,反覆問它"如果"。它跟更快的計算無關,重點是可操縱的宇宙切片。

大腦大概不是量子計算機,但沒人真知道

問題往上走:這些能不能用來理解比原子大、比黑洞小的東西,比如人腦?

薩斯坎德先說了圈子裡真正興奮的是什麼:黑洞。黑洞很大,自由度極多。

還有另一種量子系統也是大的,就是大型量子計算機。我們學到的一件事是,大型量子計算機的物理,某些地方和大型量子黑洞的物理很相似。(薩斯坎德)

至於大腦,他很坦白:這不是他的領域。他跟神經科學家聊得不多,但聊過的幾位基本都確信,大腦是經典執行的,不內在地使用糾纏、相干疊加這些量子特性。

他們是對的嗎?我不知道。我有點希望他們錯了,因為我喜歡"大腦是量子系統"這個浪漫的念頭。但我覺得多半不是。(薩斯坎德)

不過他也提醒,宏觀和量子之間的界線一直在移動。這些年陸續發現了一批次子性表現遠比預想更強的材料和系統,拓撲絕緣體是一類。超導體更直白:一大塊材料,宏觀尺寸,性質卻極其強烈地依賴量子力學,不用量子力學的工具根本分析不了。

把宇宙當資訊系統看,有什麼額外收穫?他的回答有點掃興:

所有系統都是資訊處理系統。你戳它一下,它變一點,它演化。這裡面沒有額外屬於人類的魔法。(薩斯坎德)

訪談者順著追問:可意識、智慧,感覺就像魔法。薩斯坎德承認"確實感覺像"。他先自我限定了一句:

如果你問我物理,我的想法可能有點價值。如果你問我這個,我不確定我的想法有什麼價值。(薩斯坎德)

然後給出他真正的判斷:靠內省去理解心智,我們一定會搞錯。

我聽到的關於大腦如何運作的一切,都太反直覺了。有些神經元專門檢測豎線,另一些專門檢測四十五度的線。我從沒想過我的腦子裡會有整塊電路專門負責豎線。這完全不像我大腦工作的方式。(薩斯坎德)

如果只靠心理內省去猜大腦怎麼工作,猜出來的結果和實際的分割槽方式差得非常遠。他的結論是:這條路不對。

那怎麼才對?他押注在電腦科學家身上,而且認為現在還遠沒到。

總有一天我們會造出足夠複雜的機器,一部分被工程化,一部分被演化出來,也許靠機器學習演化出來。我們可能會開始發現一些機制,對"我們怎麼思考""意識到底是怎麼回事"有所啟發,還能對它們做實驗。(薩斯坎德)

物理學的老手藝:把複雜的東西剝到簡單

方法論上的疑問緊接著來了。弦論一開始看上去極其複雜,最後被剝到相對簡單的底層結構。這套"化繁為簡"能不能用在生物系統上?

薩斯坎德的回答有保留。物理學確實總是從找最簡單的版本開始分析,也確實有很多成功案例。他舉了超導體:看上去是個怪物,各種古怪的電學、磁學性質,剝到最後是很簡單的量子現象,叫自發對稱破缺,人們在別的場景裡早就熟悉它了。

但有一件事我們不想做,就是把本身內在地複雜的東西,騙自己說可以弄簡單。我們不想讓它比真實情況更簡單。(薩斯坎德)

這句話值得單獨拎出來。物理學之所以強,靠的是一直能贏,贏的方式是找到更底層的簡單規則。這種連續的成功會養成一種職業習慣:看到複雜就想剝。可複雜有兩類,一類是"現在還沒看懂",另一類是"本質上就複雜"。前者剝開有驚喜,後者剝開只剩下自欺。

他接著把疑問拋回給人工智慧。很多極聰明的物理學家傾向於把智慧理解成資訊處理,於是往下推理:沒有理論上的理由阻止我們造出人類水平的智慧;一旦造出來,同一套方法繼續用,超級智慧會來得非常容易,指數式地來。

薩斯坎德對這個推理鏈條的態度,介乎好奇和懷疑之間。他提了一件很多人不知道的事:

我還有第二份工作,給 Google 做顧問,給 Google X 做顧問。我現在是一群做機器學習的研究物理學家的資深學術顧問。這聽起來很荒唐,因為我對這個領域幾乎一無所知。不過我擅長給建議,所以就給建議。(薩斯坎德)

他說自己看著這些年輕物理學家進入機器學習。這個領域有一個真問題:為什麼它工作得這麼好?為什麼它能做出那種泛化?沒人真正說得清。

他把關注這件事的人分成三群。工程師極聰明,但更關心怎麼用,不太深究為什麼行。正是工程師拿出了大量資料,證明了機器學習能工作得遠比你有理由預期的好。

第二群是物理學家。他指出了一個結構性相似:

用來描述量子系統的張量網路,和機器學習裡用的那些網路,在數學結構上差別並沒有那麼大。物理上的區別是另一回事,數學結構上很近。(薩斯坎德)

這也解釋了為什麼越來越多優秀的年輕物理學家被吸進這個方向。

他們極其聰明,而且並沒有因為物理背景就傲慢到以為自己能做別人做不到的事。但物理的思考方式會給機器學習帶來價值,我相信已經在帶來了。(薩斯坎德)

耐人尋味的地方在這裡:一個以直覺和視覺化著稱的物理學家,看到一群年輕同行去了連他自己都承認不懂的領域,他一句沒擺資歷,只說"他們不傲慢,這很好"。學界裡那種"我懂底層,你們只是在調參"的姿態,他一點也沒有。

弦論被誤解最深的地方

薩斯坎德不太喜歡"弦論"這個詞被當成一個學科名。

我不喜歡把弦論想成一門獨立的學科,好像有一群叫"弦論學家"的人在搞一種叫"弦論"的東西。我更願意把他們想成理論物理學家,在試圖回答關於自然的深層根本問題,尤其是引力,以及引力和量子力學的關係。他們只是在當下發現弦論是個有用的工具。(薩斯坎德)

他說得很直接:我不喜歡被叫作弦論學家。這句抱怨背後是對學科標籤化的不滿。標籤會讓人以為有一門學問叫弦論,真實情況是一群人有一個問題,手裡有一個工具。

弦論的歷史他親歷了。第一段生命是六十年代末七十年代初,用來理解強子,也就是質子、中子、介子這類亞核粒子。

當時實驗上很清楚,這些叫強子的粒子會振動、會轉動,能做一小段閉合弦能做的所有事。它當時是、現在也是關於強子的正確理論,已經經過實驗檢驗,這件事是定了的。(薩斯坎德)

第二段生命是作為引力理論,同樣的數學,尺度小到無法想象。引力的物件比質子小十九個數量級,同一套數學又出現了。

那麼它最大的價值到底在哪?他給的答案裡沒有"統一萬物"這幾個字:

它的價值在於很多地方數學上足夠嚴格,因此我們能找到既有量子力學又有引力、而且數學上嚴格的結構。我們可以檢驗想法,在數學上檢驗它們的內部一致性。(薩斯坎德)

三十五、四十年前,人們會非常嚴肅地質疑引力和量子力學能否相容,霍金因為這件事非常有名,而且名副其實。現在沒人再質疑這件事了。原因是有數學上精確的弦論構造,把引力和量子力學以一致的方式裝在一起。

它為那個確定性提供了保障:量子力學和引力可以共存。這不算小事,分量非常重。(薩斯坎德)

愛因斯坦會為此驕傲,也可能會被嚇到。薩斯坎德說不好。有一點很確定:這可能是弦論目前對物理學最大的貢獻,它幾乎決定性地說明,引力和量子力學關係密切、彼此不矛盾。

井底在哪,沒人有資格說

訪談者順著問:弦論之下,會不會還有更深的東西?量子力學是不是"井底"?

薩斯坎德把這個問題轉給了他的朋友傑拉德·特胡夫特(Gerard 't Hooft)。他先開了個玩笑,說這個名字太怪,是唯一一個名字以撇號開頭的人,難念但好拼。

特胡夫特相信世界有某種結構,是經典的、決定論的,然後透過某種他自己也很難講清的機制,湧現為量子力學。波函式是湧現的,不只是波函式,整個量子力學那一整套東西,不確定性、糾纏,全都是湧現的。(薩斯坎德)

他自己怎麼看?他給了整場對話裡最漂亮的一句方法論:

在這一點上你必須謙卑。眼下不該有任何人說任何東西是井底。我可以合理地說:當我往井裡看時,我看不到量子力學之外。我看不出有任何理由,在量子力學背後還有什麼。(薩斯坎德)

"我看不到"和"沒有"之間的這道縫,他劃得很清楚。這是他跟特胡夫特的分野:一個人相信井下還有結構,一個人只是看不見下面還有什麼。兩種態度在實驗上暫時分不出來,可科學的語言裡,這個差別決定了你是封閉還是開放。

觀察就是把你自己纏進去

自由意志、意識、自我這些"幻覺",能不能接上物理?薩斯坎德說,他跟大家一樣困惑。

但"觀察者"這個詞,他能給出技術定義。

觀察者是一個自由度足夠多的系統,可以記錄資訊,並且能與它測量的東西發生糾纏。糾纏是關鍵。當一個我們叫裝置或觀察者的系統,與它觀察的系統相互作用,它不是單純地看一眼,它在物理上纏了進去。那種糾纏,就是我們所說的觀察或測量。(薩斯坎德)

這句定義把量子力學裡最玄的詞拉回了地面。觀察不需要意識,不需要有人"看到",只需要一個足夠大的系統記錄下資訊,然後和被測系統共享了量子態。測量的實質是一次物理上的繫結,凝視不構成測量。

這讓他滿意嗎?

既滿意又不滿意。我非常滿意我們有了一個"觀察一個系統"這件事的數學表示。但我不滿意的程度,跟我永遠沒法習慣五維空間一樣,我的大腦不是那麼接線的。(薩斯坎德)

宏觀層面有糾纏嗎?他說絕對有,我們此刻就和這房間裡的一切量子糾纏著,如果不糾纏,我們根本觀察不到它們。

四維他稍微舒服一點,因為第四維可以想象成時間。那麼時間箭頭呢?

物理學裡時間前後完全對稱,所以你其實不需要為絕大多數物理現象考慮時間箭頭,那些最微觀的現象不需要。(薩斯坎德)

只有涉及的系統大到熱力學開始起作用、熵開始起作用時才需要。小系統裡熵不是個好概念,熵是從大數量裡湧現的,是機率的、統計的、熱力學的概念,需要大量大量的小子結構。

所以,我們理解時間箭頭嗎?

我認為我們理解得比大多數人以為的更好。它就是個統計概念。一副牌往空中一扔,你看會發生什麼。它是隨機的。我們理解它:它不從隨機走向簡單。它從簡單走向隨機。(薩斯坎德)

把檯球一顆顆停住,再讓它們倒著走

時間箭頭會破缺嗎?薩斯坎德說,在實驗室裡你可以拿一個介於小和大之間的系統,讓它倒回去。

因為統計力學的原因、因為熱力學第二定律看起來只想往一個方向走的系統,你可以極其小心地操縱它,讓它反向執行。我不認為你能把一個摔在地上的雞蛋倒回來,但在非常受控的情況下,你可以讓看起來在統計上趨向隨機的系統停下來、反轉、倒著走回去。(薩斯坎德)

他給了那個經典畫面:理想無摩擦檯球桌上,球排成三角形,一杆打散,四散飛出去。現在試著把每一顆球在某一刻停死,把運動方向反轉。如果你做得極其精確,它們會重新聚成那個三角形。

這是事實。兩顆球大概能做到,三顆球運氣好也許行。

但隨著系統越來越複雜,你必須越來越精確,不能犯一丁點錯誤,因為最微小的錯誤都會被放大,你根本沒法完成反轉。(薩斯坎德)

這算不上時間旅行。訪談者追問"你剛才是不是說時間旅行可能",他立刻否掉:

去未來的時間旅行很容易。閉上眼睛睡一覺,你就在未來醒來了。一頓好覺就能把你送到那兒。(薩斯坎德)

至於倒著走,他不願用"時間旅行"這個詞,因為會被科幻小說攪混。這就是把一個系統的運動反向,原則上不難,困難在精確度。十個粒子努力一下也許行,一百個就很難,一千個一百萬個就別想了。這是工程上的難,原理上並不禁止。

我們連自己這個宇宙怎麼模擬都不知道

如果世界是個程式,造一臺能跑宇宙的計算機有多難?

薩斯坎德給了一個反直覺的答案:有一類宇宙我們知道怎麼幹,就是反德西特空間(anti-de Sitter space)。

如果我們能造一臺足夠大、足夠穩健的量子計算機,我們大概能模擬一個宇宙,或者說反德西特宇宙的一個小版本,把中心當成一種宇宙學。(薩斯坎德)

麻煩在於我們住的那個。

我們身處的宇宙不是反德西特幾何,是德西特幾何,而我們對它的量子力學根本還不瞭解。所以眼下我會說,我們連最模糊的念頭都沒有,不知道該怎麼模擬一個類似我們自己的宇宙。(薩斯坎德)

兩者的區別只是一個常數,宇宙學常數,一個負曲率,一個正曲率。反德西特可以想成裝在反射牆盒子裡的孤立系統,孤立環境裡的量子系統。德西特是我們真正住的那個,指數式膨脹,暗能量,怎麼叫都行。

"我們理解它嗎?"

不是所有人都會同意我,但我看不出來他們憑什麼同意我。他們肯定會同意的一點是,我不理解它。(薩斯坎德)

那麼大爆炸呢?起源呢?他說有理論,他最喜歡的是永恆暴脹。

如果正確理解,我認為永恆暴脹理論在兩個方向上都是無限的。(薩斯坎德)

為什麼喜歡這個?訪談者以為因為它最顛覆。薩斯坎德的理由更樸素:我們不需要一個開端。

那怎麼思考無限?他講了剛跟謝爾蓋·布林(Sergey Brin)的一次對話,當笑話說的:

我說,謝爾蓋·布林有無限多的錢。你怎麼檢驗這個假說?(薩斯坎德)

笑點在於,無限的斷言沒有可操作的檢驗方式。這也是他對"無限"在物理裡究竟佔什麼位置的態度:這個問題問得很好,而他只能說到這裡。

拍到黑洞的是一群小猴子

事件視界望遠鏡釋出第一張黑洞照片,薩斯坎德的評價分兩層。

這本身就是科學的一次不可思議的勝利。黑洞會碰撞,這件事並不意外,它們看起來完全按應有的方式運作。我們會從中學到很多嗎?我不知道,也許會。但我們會學到的東西,大概跟黑洞本身無關。(薩斯坎德)

他解釋:自然界裡為什麼存在那個特定質量尺度的黑洞,為什麼它們那麼常見,這可能告訴我們宇宙結構演化的事,但不會給黑洞研究帶來什麼新認識。

它真正的分量在另一條線上。往回一百年,廣義相對論、黑洞的發現、LIGO,一條連續的發展,還有 LIGO 裡那些不可思議的技術。

三四十年前,我絕不會相信這件事會發生。整個結構宏偉得驚人,廣義相對論演進的成果,精密到能在 10 的負 21 次方量級上測量東西。(薩斯坎德)

被問到腦子裡怎麼想象黑洞、照片是不是讓他意外,他說沒有,照片只是確認。

就黑洞碰撞這一層直接確認愛因斯坦的引力理論真的成立,是了不起的勝利。我知道一些參與其中的人,他們就是普通人。想到他們能把這件事做成,我震驚了。就這麼一小群智人,湊在一起,拍到了一張照片。(薩斯坎德)

訪談者接了一句:稍微高階一點的狐猴。薩斯坎德沒有反駁。

機器下棋下出了智慧,沒人教它

哪些問題現在答不了,但也許不久就能答?薩斯坎德把意識歸給了電腦科學家和神經科學家。物理學家大概會試著把它化簡到能用自己方法處理的程度,但那些方法可能並不合適。

他真正興奮的是另一條路。學習只佔一半,另一半是讓機器演化自己的架構。架構的演化不完全在人手裡,而受機器學習過程的控制。

還有一件事我覺得了不起。他們教計算機下棋,沒教它怎麼下棋,只是讓機器互相對弈。本質上這是演化在發生。這些機器在演化,智慧在演化,沒有誰告訴它們該怎麼做,它們沒有被工程化,只是互相對弈,然後越來越好。(薩斯坎德)

這個觀察的分量在於它繞過了"我們必須先理解智慧才能造出智慧"這個假設。人類智慧本身是演化出來的,沒有設計師。AlphaGo 那條路等於在機器上重演了一次小型演化,出來的東西有一部分沒人能解釋清楚。

這讓我覺得機器可以演化出智慧。具體是哪種智慧,我不知道。但越來越好這件事,可能會給我們更好的線索,去理解我們自己這邊的智慧是怎麼回事。(薩斯坎德)

有些問題看著真實,卻找不到任何方法回答

最後一個問題:哪些問題科學現在答不了,可能永遠答不了?

整個東西背後有沒有智慧?你想用 G 開頭那個詞也行。我們是不是一個有目的的計算機模擬?有沒有一個能動者、一個智慧體,在底下支撐或負責這一切?(薩斯坎德)

他繼續追問這個智慧體:它滿足物理定律嗎?它滿足量子力學嗎?它由原子分子構成嗎?

他自己給了個哲學上的卡口:問題得是可回答的,才算真問題。有些哲學家會說,一個問題如果沒有任何已知方法能回答,它就不成其為問題。可他還是覺得這類問題是真的。

訪談就在這裡收尾了。薩斯坎德的立場從頭到尾一致:他能做的,是把問題講清楚,把邊界畫出來,然後承認自己看不到井底。

他在整場對話裡反覆做同一件事:給出一個精確的技術定義,然後老實說這個定義不讓他個人滿意。觀察是糾纏,這話數學上成立,可他依然不習慣。時間是統計的,這話他說我們理解得比多數人以為的更好,可他也不裝作全懂了。這種"技術上清楚、心理上不自在"的雙軌狀態,大概才是一個物理學家工作五十年後真實的樣子。

他把這套態度講成一句話:你得有傲慢去說這場仗我能打贏自然,同時有謙卑去知道自己隨時可能是錯的。這兩樣東西在同一個人身上共存,本身就稀有得像一次相變。

整場對話裡,薩斯坎德從沒給出過一個漂亮的收尾。他每次都在同一個位置停住:把概念的技術邊界畫清楚,然後老實講自己心裡那塊地方還是不舒服。觀察就是糾纏,這話數學上站得住,可他依然不習慣。時間是統計出來的,他說我們理解得比多數人以為的好,可他也絕不裝作全都懂了。一個做了五十年物理的人,最終呈現出來的狀態就是這樣:腦子清楚,心裡留著一塊沒被馴服的地方。

這種狀態跟"謙虛"或"自信"都不太一樣。它更像是一種長期的並行:同時持有精確的公式和不肯消失的不適感,讓兩邊一直互相摩擦,誰也別想說服誰。薩斯坎德說得很明白,這兩樣東西得同時長在一個人的性格里,能做到的人屬於很特殊的一類。他自己大概就是那類人之一。

如果你想把這場對話用起來

  • 啃不動的系統,先別急著建方程。在腦子裡把它演一遍,能看見什麼就畫什麼,等洞見成形了再翻譯成數學。薩斯坎德做弦論走的就是這個順序,他自己說那不是他的強項,是他唯一會的方式。
  • 判斷一個新工具的價值時,先問它是不是真的在那個層面上運作。經典計算機解量子力學的方程,和量子計算機真的作為量子系統在跑,隔著一整個量級。這個區分能幫你識破大量包裝。
  • 看量子計算的商業敘事時,把大數分解單獨拎出來。薩斯坎德認為它接近偶然,長期真正的價值在模擬量子系統本身,化學、材料、場論,這些地方系統多、經典方法遲早會撞牆。
  • 面對"把複雜問題簡化"的衝動,先分清是"還沒看懂"還是"本質就複雜"。前者剝開有驚喜,後者剝開只剩下自欺。薩斯坎德的原話是不想讓事情比它真實的樣子更簡單。
  • 在自己不熟的領域裡當顧問,別用本行的資歷壓人。他的姿態是承認幾乎一無所知,然後只提供自己真能給的那部分價值。這個姿態換來的信任,比任何頭銜都牢。
  • 聽到"這東西到底為什麼有效,沒人說得清"時,把它當成正經的科研機會,別當成缺陷。機器學習現在就卡在這個位置,而帶張量網路背景的物理學家正在往那兒走。結構相似的地方,往往是下一個突破口。
  • 碰到讓你長期不適的環境,別急著把它讀成能力問題。薩斯坎德的不適來自階層,跟本事無關。而他的轉變在五十歲那年發生得很陡,中間沒有過渡地帶,那種不適不會慢慢淡掉,它會在某一天直接消失。
  • 想檢驗一個"無限"或"終極"的斷言,學他那句玩笑:謝爾蓋·布林有無限多的錢,你怎麼驗證?找不出檢驗方式的陳述,先擱在"看著真實但答不了"那一欄,不必急著站隊。
文稿由本站用語音識別模型(基於官方釋出音訊)機器轉寫,可能有識別錯誤,人名與數字請以音訊為準。
[00:00:00] The following is a conversation with Leonard Susskind. He's a professor of theoretical physics at Stanford University and founding director of Stanford Institute of Theoretical Physics. He's widely regarded as one of the fathers of string theory and in general is one of the greatest physicists of our time, both as a researcher and an educator. This is the Artificial Intelligence Podcast. Perhaps you noticed that the people I've been speaking with are not just computer scientists, but philosophers, mathematicians, writers, psychologists, physicists and soon other disciplines. [00:00:34] To me, as much bigger than deep learning, bigger than computing. It is their civilization's journey into understanding the human mind and creating echoes of it in the machine. If you enjoy the podcast, subscribe on YouTube. Give it five stars on iTunes, supported on Patrón or simply connect with me on Twitter at Lux, Friedman spelled F.R. Idi Amin. And now here's my conversation with Leonard Zeskind. You worked and were friends with Richard Feynman, how they influenced you and changed you as a physicist and thinker? [00:01:26] What I saw. I think what I saw was somebody who could do physics in this deeply intuitive way. His style was almost to close his eyes and visualize the phenomena that he was thinking about and through visualization. Outflank the mathematical, highly mathematical and very, very sophisticated technical arguments that people would use, I think that was also natural to me but. I saw somebody who was actually successful at it who could do physics in a way that that I regarded as. [00:02:07] Simpler, more direct, more intuitive. And while I don't think he changed my way of thinking, I do think he validated it. It made me look at it and say, yeah, that's something you can do and get away with practically. You can get away with it. So do you find yourself, whether you're thinking about quantum mechanics or black holes of string theory, using intuition as a first step or step throughout using visualization? [00:02:38] Yeah, very much so. Very much so. I tend not to think about the equations. I tend not to think about the symbols. I tend to try to visualize the phenomena themselves. And then when I get an insight that I think is valid, I might try to convert it to mathematics. But I'm not a mathematician, I'm not a natural mathematician, or I'm good enough at it, I'm good enough at it, but I'm not a great mathematician. [00:03:06] So for me, the way of thinking about physics is first intuitive, first visualization. Scribble a few equations maybe, but then try to convert it to mathematics experiences that other people are better at converting into mathematics than I am. [00:03:24] And yet you've worked very counterintuitive ideas. So how do I know that's true? That's somebody visualize something counterintuitive. How do you dare I rewiring your brain in new ways, huh? Yeah. Quantum mechanics is not intuitive. Very little of modern physics is intuitive. Intuitive. What does intuitive mean? It means the ability to think about it with basic classical physics, the physics that that we evolved with throwing stones, splashing water or whatever it happens to be. [00:04:01] Quantum physics, general relativity, quantum field theory are deeply unintuitive in that way, but, you know, after time and getting familiar with these things, you develop new intuitions. I always said you rewire. And it's to the point where me and many of my friends, I and my friends. Can think more easily quantum mechanically than we can classically, we've gotten so used to it. I mean, yes, our neural wiring in our brain is such that we understand rocks and stones and water. [00:04:37] And so it's sort of evolved, evolved for you. Do you think it's possible to create a wiring of neuron like state devices that more naturally understand quantum mechanics, understand wavefunction, understand these weird things? [00:04:54] Well, I'm not sure. I think many of us have evolved the ability to to think quantum mechanically to some extent. But that doesn't mean you can think like an electron. That doesn't mean another example to get from quantum mechanics, just visualizing four dimensional space or five dimensional space, a six dimensional space. I think we're fundamentally wired to visualize three dimensions. I can't even visualize two dimensions or one dimension without thinking about it is embedded in three dimensions. If I want to visualize a line, I think of the line as being a line in three dimensions, right? [00:05:39] Well, I think of the line as being a line on a piece of paper with a piece of paper being in three dimensions, I never seem to be able to, in some abstract and pure way, visualize in my head the one dimension, the two dimensions, the four dimensions, the five dimensions. And I don't think that's ever going to happen. The reason is I think the neural wiring is just set up for that. On the other hand, we do learn ways to think about five, six, seven dimensions. [00:06:09] We learn ways, we learn mathematical ways, and we learn ways to visualize them. But they are different. And so, yeah, I think I think we do rewire ourselves. Whether we can ever completely rewire ourselves to be completely comfortable with these concepts, I doubt today is completely natural to it's completely natural. [00:06:31] So I'm sure there's some what you could argue, creatures that live in a two dimensional space. Yeah, and there are. And while it's romanticizing the notion, of course, we're all living as far as we know, in three dimensional space. But how do you how do those creatures imagine 3D space? [00:06:52] Well, probably the way we imagine for the by using some mathematics and some equations and some some tricks. [00:07:01] OK, so jumping back to Feynman just for a second, he had a little bit of an ego and. [00:07:10] Yes. Why do you think ego is powerful or dangerous in science? [00:07:16] I think both both, both, I think you have to have both arrogance and humility, you have to have the arrogance to say, I can do this. Nature is difficult. Nature is very, very hard. I'm smart enough. I can do it. I can win the battle with nature. On the other hand, I think you also have to have the humility to know that you're very likely to be wrong on any given occasion. Everything you're thinking could suddenly change. [00:07:50] Young people can come along and say things you won't understand and you'll be lost and flabbergasted. Yeah, so I think it's a combination of both. You better recognize that you're very limited. And you better be able to say to yourself, I'm not so limited that I can't win this battle with nature, it takes a special kind of person who can manage both of those. [00:08:15] I would say and I would say there's echoes of that in your own work, a little bit of ego, a little bit of outside of the box, humble thinking. [00:08:23] Oh, I hope so. [00:08:26] So was there a time where you you felt you looked at yourself and asked, am I completely wrong about this? Oh, yeah. [00:08:37] About the whole thing or about specific things. The whole thing. [00:08:41] What do you weigh. Which whole thing. Me and me and my ability to do this thing. [00:08:46] Oh, those kinds of doubts. Those first of all, did you have those kinds of doubts? [00:08:50] No, I had different kind of doubts. I came from a very working class background and I was uncomfortable in academia for, oh, for a long time. But there weren't doubts about my ability or my. They were just the discomfort and being in an environment that my family hadn't participated in, I know nothing about. As a young person, I didn't learn that there was such a thing called physics until I was almost 20 years old. Yeah. So I I did have certain kind of doubts, but not about my ability, I don't think I was too worried about whether I would succeed or not. [00:09:33] And I never I never felt this insecurity am I ever going to get a job that that had never occurred to me that I wouldn't. Maybe you could speak a little bit to this sense of what is academia, because I, too, feel a bit uncomfortable in it. Mm hmm. There's something I can't put quite into words, what you have that's not doesn't if we call it music, you play a different kind of music than a lot of academia. [00:10:05] How have you joined this orchestra? How do you think about it? [00:10:11] I don't know that I thought about it as much as I just felt it. Yeah. You know, thinking is one thing. Feeling is another thing. I felt like an outsider until a certain age when I suddenly found myself the ultimate insider in academic physics. And that was a sharp transition, and I wasn't a young man, I was probably 50 years old. You were never quite. It was a phase transition. You were never quite female in the middle. [00:10:44] Yeah, that's right. I wasn't. I always felt a little bit of an outsider in the beginning. A lot an outsider. My way of thinking was different, my approach to mathematics was different, but also my social background that I came from was different now these days. Half the young people I meet, their parents are professors, right? Right. That was not my case. So. Yeah, but then all of a sudden, at some point, I found myself at the very much the center of maybe not the only one at the center, but certainly one of the people in the center of a certain kind of physics. [00:11:28] And all that went away, I mean, it went away in a flash, so. Maybe, maybe a little bit with Feynman, but in general, how do you develop ideas? Do you work through ideas alone? Do you brainstorm with others? Oh, both. Both. Very definitely both. The younger a time I spent more time with myself. Now, because I'm at Stanford, because I'm because I. I have a lot of ex-students and, you know, people who who are interested in the same thing I am. [00:12:09] I spent a good deal of time almost on a daily basis, interacting, brainstorming, as you said, it's a it's a very important part. I spend less time, probably completely self focused than in. We're a piece of paper and just sitting there staring at it. What are your hopes for quantum computers, so the machines that are based on that have some elements of leverage, quantum mechanical ideas. [00:12:41] It's not just leveraging quantum mechanical ideas. You can simulate quantum systems on a classical computer, simulate the means, solve the Schrodinger equation for them, or solve the equations of quantum mechanics on a computer, on a classical computer. But the classical computer is not doing is not a quantum mechanical system itself. Of course it is that everything is made of quantum mechanics, but it's not functioning. It's not functioning as a quantum system. It's just solving equations. The quantum computer is truly a quantum system, which is actually doing the things that you programming it to do. [00:13:24] You want to program a quantum field theory. If you do it in classical physics, that program is not actually functioning in the computer as a quantum field theory. It's just solving some equations physically. It's not doing the things that that the quantum system would do. The quantum computer is really a quantum mechanical system which is actually carrying out the quantum operations. You can measure it at the end. It intrinsically satisfies the uncertainty principle. It is limited in the same way that quantum systems are limited by uncertainty and so forth. [00:14:04] And it really is a quantum system that means that what you what you're doing when you program something for quantum system is you're actually building a real version of the system. The limits of a classical computer, classical computers are enormously limited when it comes to the quantum systems, enormously limited because you've probably heard this before, but in order to store the amount of information that's in the quantum state of. 400 spins, that's not very many, 400 can put in my pocket with 400 pennies in my pocket. [00:14:44] To be able to simulate the quantum state of 400 elementary quantum systems qubits, we call them to do that would take more information than can possibly be stored in the entire universe if it were packed so tightly that you couldn't pack any more than 400 cubits. On the other hand, if your quantum computer is composed of 400 cubits, it can do everything 400 cubits can do. What kind of space, if you just intuitively think about the space of algorithms that that unlocks for us, so there's a whole complexity theory around classical computers measuring the running time of things and so on. [00:15:30] What kind of algorithms just intuitively do you think is it unlocks for us? [00:15:35] OK, so we know that there are a handful of algorithms that can seriously become classical computers and which can have exponentially more power. This is a mathematical statement. Nobody's exhibited this in the laboratory. It's a mathematical statement. We know that's true. But it also seems more and more that the number of such things is very limited, only very, very special. Problems exhibit that much advantage for a quantum computer. All of standard problems to my mind, as far as I can tell, the great power of quantum computers will actually be to simulate quantum systems. [00:16:16] If you're interested in a certain quantum system and it's too hard to simulate classically. You simply build a version of the same system, you build a version of it, you build a model of it that's actually functioning as the system, you run it and then you do the same thing. You would do the quantum system. You make measurements on it, quantum measurements on it. The advantages you can run it much slower. You could say, why bother? [00:16:44] Why not just use the real system? Why not just do experiments on the real system? Well, real systems are kind of limited. You can't change them. You can't manipulate them. You can't slow them down so that you can poke into them. You can't modify them in arbitrary kinds of ways to see what would happen if I if I change the system a little bit. So I think that quantum computers will be extremely valuable in. [00:17:14] In understanding quantum systems at the lowest level, the fundamental laws, they're actually satisfying the same laws as the systems that they're simulating. [00:17:26] Right. OK, so on the one hand, you have things like factoring in factoring is the great thing of quantum computers factoring large numbers, that doesn't seem that much to do with quantum mechanics. [00:17:39] It seems to be almost a fluke then that a quantum computer can solve the factoring problem in a short time. So and those problems seem to be extremely special, rare, and it's not clear to me that there's going to be a lot of them. On the other hand, there are a lot of quantum systems, chemistry, this solid state physics does material science. There's quantum gravity. There's all kinds of quantum quantum field theory. And some of these are actually turning out to be applied sciences, as well as very fundamental sciences. [00:18:17] So we probably will run out of the ability to solve equations for these things, you know, solve the equations by the standard methods of pencil and paper, solve the equations by the method of classical computers. And so what we'll do is we'll build versions of these systems. Run them and run them under controlled circumstances where we can change them, manipulate them, make measurements on them and find out all the things we want to know. [00:18:47] So in finding out the things we want to know about very small systems right now, the is there something we can also find out about the macro level, about something about the function and forgive me, of our brain biological systems, the stuff that's about one meter in size versus a much, much smaller. Well, what all the excitement is about among the people that I interact with is understanding black holes, black holes, black holes are big things. They are many, many degrees of freedom. [00:19:21] There is another kind of quantum system that is big, it's a large quantum computer. And one of the things we learned is that the physics of large quantum computers is in some ways similar to the physics of large quantum black holes. And we're using that relationship that you asked about. You didn't ask about quantum computers or systems. You didn't ask about the black holes. You asked about brains. [00:19:46] Yeah, about stuff that's in the middle of the two. It's different. So black holes are there's something fundamental about black holes that feels to be very different in the brain. [00:19:59] Yes. And they also function in a very quantum mechanical way. Right. OK, it is, first of all, unclear to me, but of course, it's unclear to me. I know I'm not a neuroscientist. I have I don't even have very many friends who are neuroscientists. I would like to have more friends who are neuroscientists. I just don't run into them very often. Among the few neuroscientists I've ever talked about about this, they are pretty convinced that the brain functions classically. [00:20:33] That is not intrinsically a quantum mechanical system or doesn't make use of the of the special features entanglement, coherent superposition. Are they right? I don't know. I sort of hope they're wrong just because I like the romantic idea that the brain is a quantum system. Yeah, but I think I think probably not. The other thing, big systems can be composed of lots of little systems, materials, the materials that that we work with and so forth are. [00:21:06] Can be large systems, a large piece of material, but the bigger they're made out of quantum systems. Now, one of the things that's been happening over the last a good number of years is we're discovering materials and quantum systems which function much more quantum mechanically than than we imagined topological insulators, this kind of thing, that kind of thing. Those are macroscopic systems, but they just superconductors, superconductors have a lot of quantum mechanics in them. You can have a large chunk of superconductor, so it's a big piece of material. [00:21:43] On the other hand, it's functioning and it's properties depend very, very strongly on quantum mechanics. [00:21:49] And to analyze them, you need the tools of quantum mechanics if we can go on to black holes. [00:21:56] Mm hmm. [00:21:57] And looking at the universe as a information processing system, as a computer, as a giant computer computer, what's the power of thinking of the universe as an information processing system or what is perhaps its use besides the mathematical use of discussing black holes? Uh, and your famous debates and ideas around that to human beings or life in general is information processing systems where all systems are information processing systems. [00:22:30] You poke them, they change a little bit, they evolve all systems and information, but there's no extra magic to us humans. It certainly feels consciousness, intelligence feels like magic. It sure does. Where does it emerge from? [00:22:46] If we look at information processing, what are the emergent phenomena that come from viewing the world as an information processing system? Here is what I think and my thoughts on that with much of this. If you ask me about physics, my thoughts may be worth something. Yes. If you ask me about this, I'm not sure my thoughts are worth anything. But as I said earlier, I think when we do introspection, when we imagine doing introspection and try to figure out what it is when we do and we're thinking, I think we I think we get it wrong. [00:23:20] I'm pretty sure we get it wrong. Everything I've heard about the way the brain functions is so counterintuitive. For example, you have neurons which detect vertical lines. You have different neurons which detect lines at 45 degrees. You have different neurons. I never imagined that there were whole circuits which were devoted to vertical lines in my brain. Yeah, it doesn't seem to be the way my brain works. My brain seems to work my finger up vertically or if I put it horizontally or if I put it this way or that way, it seems to me it's the same, the same circuits that are it's not the way it works. [00:23:55] The way the brain is compartmentalized seems to be very, very different than what I would have imagined if I were just doing psychological introspection about how things work. My conclusion is that we won't get it right that way, but how will we get it right? I think maybe computer scientists will get it right eventually, I don't think that anyone's near it. I don't even think they're thinking about it. But by computer, eventually we will build machines, perhaps, which are complicated enough. [00:24:31] And partly engineered, partly evolved, maybe evolved by machine learning and so forth, this machine learning is very interesting. By machine learning, we will evolve systems and we may start to discover mechanisms that that have implications for how we think and forward what this consciousness thing as well about. And we'll be able to do experiments on them and perhaps answer questions. That we can't possibly answer by by introspection, so that's a really interesting point. You've in many cases, if you look at even a string theory, when you first think about a system, it seems really complicated, like the human brain and through some basic reasoning in trying to discover fundamental low level behavior, the system, you find out that it's actually much simpler. [00:25:26] Do one have you know, is that generally the process? And two, do you have that also hope for biological systems as well for all the kinds of stuff we're studying at the human level? [00:25:38] Of course, physics always begins by trying to find the simplest version of something and analyze it. Yeah, I mean, there are lots of examples where physics has taken very complicated systems, analyze them and found simplicity in them for sure. I said superconductors before. It's an obvious one. Superconductor seems like monstrously complicated thing with all sorts of crazy electrical properties, magnetic properties and so forth. And when it finally is boiled down to its simplest elements, it's a very simple quantum mechanical phenomenon called spontaneous symmetry breaking. [00:26:16] And which we in other contexts we learned about and we're very familiar with. So, yeah, I mean, yes, we do take complicated things, make them simple. But what we don't want to do is take things which are intrinsically complicated and fool ourselves into thinking that we can make them simple. We don't want them. I don't know who said this, but we don't want to make them simpler than they really are. Right. OK, is the brain a thing which ultimately functions by some simple rules, or is it just complicated in terms of artificial intelligence? [00:26:54] Nobody really knows what are the limits of our current approaches. You mentioned machine learning. How do we create human level intelligence? It seems that there's a lot of very smart physicists who perhaps oversimplify the nature of intelligence and think of it as information processing. And therefore, there doesn't seem to be any theoretical reason why we can't artificially create a human level or super human level intelligence. In fact, the reasoning goes, if you create human level intelligence, the same approach you just used to create a human level, intelligence should allow you to create superhuman level intelligence very easily, exponentially. [00:27:32] So what do you think that way of thinking that comes from physicists is all about? [00:27:39] I wish I knew, but there's a particular reason why I wish I knew. I have a second job, I consult for Google, for Google, for Google X. I am the senior academic advisor to to a group of machine learning physicists right now. That sounds crazy because I know nothing about the subject. I know very little about the subject. On the other hand, I'm good at giving advice, so I give them advice on things. Anyway, I see these young physicists who are approaching the machine learning problem. [00:28:15] There is a there is a real machine learning problem. Namely, why does it work as well as it does it? Nobody really seems to understand why it is capable of doing the kind of generalisations that it does and so forth. And there are three groups of people who have thought about this. There are the engineers. The engineers are incredibly smart, but they tend not to think as hard about why the thing is working as much as they do how to use it. [00:28:45] Obviously, they provided a lot of data and it is they who demonstrated that machine learning can work much better than you have any right to expect. The machine learning systems are systems that the system's not too different than the kind of systems, if this is a study. There's not all that much difference between quantum in the structure of mathematics, the physical, yes, but the structure, the mathematics between a tension network designed to describe a quantum system on the one hand and the kind of networks that are used in machine learning. [00:29:21] So the more and more I think young physicists are being drawn to this field of machine learning, some very, very good ones. I work with a number of very good ones, not on machine learning, but I'm having lunch and having lunch. [00:29:39] Yeah. [00:29:40] And I can tell you they are super smart. They don't seem to be so arrogant about their physics backgrounds that they think they can do things that nobody else can do. But the physics way of thinking, I think, will and will add great value to what will bring value to the machine learning. [00:30:00] I believe it will, and I think it's already has a what time scale do you think predicting the future becomes useless in your long experience and being surprised that new discoveries. Sometimes a day, sometimes 20 years, there are things which I thought. We were very far from understanding, which practically in a snap of the fingers or blink of the eye suddenly became understood, completely surprising to me. [00:30:37] There are other things which I looked at and I said, we're not going to understand these things for 500 years, in particular quantum gravity, the scale for that was 20 years, 25 years. And we understand a lot and we don't understand it completely now by any means. But we I thought it was 500 years to make any progress. It turned out to be very, very far from that. It turned out to be more like 20 or 25 years from the time when I thought it was 500 years. [00:31:05] So if we make we jump around quantum gravity, some basic ideas in physics. What is the dream of string theory mathematically, what is the hope, where does it come from? What problem is it trying to solve? [00:31:20] I don't think the dream of string theory is any different than the dream of fundamental theoretical physics altogether understanding a unified theory of everything. [00:31:29] I don't like thinking of string theory as a subject unto itself with people called string theorists who are the practitioners of this thing called string theory. I much prefer to think of them as theoretical physicists trying to answer deep, fundamental questions about nature and particular gravity, in particular gravity and its connection with quantum mechanics, and who at the present time find string theory a useful tool rather than saying there's a subject called string theorists. I don't like being referred to as string theory. [00:32:05] Yes, but as a tool, is it useful to think about our nature in multiple dimensions? [00:32:12] Strings vibrating I believe it is useful to tell you what the main use of it has been up till now. Well, it has had a number of businesses originally. String theory was invented and I know that I was there. I was right at the spot where it was being invented, literally, and it was being invented to understand Hadrian's hadrons or subnuclear particles, protons, neutrons, mesons and. At that time, the late 60s, early 70s, it was clear from experiment that these particles called hadrons had could vibrate, could rotate, could do all the things that a little close string can do. [00:32:57] And it was and is a valid and correct theory of this hadrons. It's been experimentally tested and that is a done deal. It had a second life as a theory of gravity, the same basic mathematics, except on a very, very much smaller, distant scale. The objects of gravitation are 19 orders of magnitude smaller than a proton, but the same mathematics turned up, the same mathematics turned up. What has been its value? Its value is that it's mathematically rigorous in many ways and enabled us to find. [00:33:41] Defined mathematical structures which have both quantum mechanics and gravity with rigor. We can test out ideas, we can test out ideas, we can test them in the laboratory that the 19 orders of magnitude too small, the things that we're interested in, but we can test them out mathematically and analyze their internal consistency by now. Forty years ago, 35 years ago, so forth, people very, very much questioned the consistency between gravity and quantum mechanics. Stephen Hawking was very famous for it, rightly so. [00:34:22] Now, nobody questions that consistency anymore. They don't because we have mathematically precise string theories which contain both gravity and quantum mechanics in a consistent way. So it's provided that that certainty, the quantum mechanics and gravity can coexist. That's not a small thing. That's a very big thing. It's a huge thing. Einstein would be proud. Einstein think might be appalled. I don't know the context very much, but he would certainly be struck by it. Yeah, I think that may be at this time its biggest contribution to physics in illustrating almost definitively that quantum mechanics and gravity are very closely related and not inconsistent with each other. [00:35:07] Is there a possibility of something deeper, more profound that still is consistent with string theory but is deeper that is to be found? Well, you could ask the same thing that quantum mechanics is just exactly. [00:35:22] Yeah. [00:35:22] Yeah, I think string theory is just an example of a quantum mechanical system that contains both gravitation and quantum mechanics. So is there something underlying quantum mechanics, perhaps something deterministic, perhaps something deterministic? My friend Faraday Tofte, whose name you may know is a very famous physicist, Dutch, not as famous as he should be, but but the heart to spell his name. So it's hard to say his name. It's easy to spell his name. Apostrophe, the only person I know whose name begins with an apostrophe. [00:35:58] And he's one of my heroes in physics and he's a little younger than me, but is nevertheless one of my heroes. [00:36:04] The Tofte believes that there is some some structure to the world. Which is classical in character, deterministic in character, which somehow by some mechanism that he has a hard time spelling out, emerges as quantum mechanics. [00:36:27] I don't the wavefunction function is somehow emergent, the wavefunction and not just the wavefunction, but the whole Meccan, the whole thing that goes with quantum mechanics, uncertainty, entanglement, all these things are emergent. [00:36:40] So you think quantum mechanics is the bottom of the well, as is the here I think is here I think is where you have to be humble is where humility comes. [00:36:51] I don't think anybody should say anything is the bottom of the well at this time, as I think we I think we can reasonably say. I can reasonably say when I look into the well, I can't see past quantum mechanics, I don't see any reason for there to be anything beyond quantum mechanics. I think it does. It's very interesting and deep questions. I don't like those answers. [00:37:18] Well, again, let me ask if we look at the deepest nature of reality with whether it's deterministic. Or when observed as probabilistic. What does that mean for our human level of ideas of free will? Is there any connection whatsoever from this perception, perhaps illusion of free will that we have and the fundamental nature of reality? [00:37:44] The only thing I can say is I am puzzled by that. As much as you are the illusion of it, the illusion of consciousness, the illusion of free will, the illusion of self, does that connect to how can a physical system do that? [00:38:02] And and I am as puzzled as anybody. [00:38:05] There's echoes of it in the observer effect. Do you understand what it means to be an observer? [00:38:12] I understand it at a technical level. An observer is a system with enough degrees of freedom that it can record information and which can become entangled with the thing that it's measuring. Entanglement is the key. When a system which we call an apparatus or an observer, same thing interacts with the system that it's observing. And it doesn't just look at it, it becomes physically entangled of it. And it's that entanglement which we call an observation or a measurement. Now, does that satisfy me personally as an observer and. [00:38:49] Yes and no, I find it very satisfying that we have a mathematical representation of what it means to observe a system, you are observing stuff right now, the conscious level, right. [00:39:01] Do you think there's echoes of that kind of entanglement in our macro scale? [00:39:06] Yes, absolutely. For sure. We're entangled with quantum mechanically entangled with everything in this room. If we weren't have and we just. Well, we wouldn't be observing it. But on the other hand, you can ask, do I really? Am I really comfortable with it and I'm uncomfortable with it in the same way that I can never get comfortable with five dimensions, my my brain isn't wired for it. Are you comfortable with four dimensions, a little bit more, because I can always imagine the fourth dimension is time. [00:39:43] So the arrow of time. Are you comfortable with that arrow? Do you think time is an emergent phenomenon or is it fundamental to nature? [00:39:51] That is a big question in physics right now. All the physics that we do, or at least of the people that I am comfortable talking to, my my friends. Yeah, my friends, we all have the same question that you just ask in space. We have a pretty good idea is emergent and it emerges out of entanglement and other and other things. [00:40:17] Time always seems to be built into our equations as just Newton. Pretty much what Newton modified a little bit by Einstein would have called time. And mostly in our equations, it is not emergent. [00:40:36] Time in physics is completely symmetric, forward and back magic, so you don't really need to think about the arrow of time for most physical phenomena, the most microscopic phenomena. [00:40:49] No, it's only when the thermometer involves systems which are big enough for thermodynamics to become important, for entropy to become important for small steps, a small system. Entropy is not a good concept. Entropy is something which which emerges out of large numbers, it's a probabilistic idea, it's a statistical idea, and it's a thermodynamic idea. Thermodynamics requires lots and lots and lots of little substructures. OK, so it's not until you emerge at the thermodynamic level that there's an arrow of time. [00:41:28] Do we understand it? Yeah, I think I think we understand better than most people think that most people say they think we understand it. Yeah, I think we understand it. [00:41:38] It's just a statistical idea. The. [00:41:40] You mean like second law, thermodynamics, entropy and so on the deck of cards and you fling it in the air and you and you look what happens to it. [00:41:48] Yeah, it's random. We understand it doesn't go from random to simple. It goes from simple to random. [00:41:55] But do you think it ever breaks down? What I think you can do is in a laboratory setting, you can take a system which is somewhere intermediate between being small and being large and make it go backward, a thing which looks like it only wants to go forward because of statistical mechanical reasons, because of the second law, you can very, very carefully manipulate it to make it run backward. I don't think you can take an egg. Humpty Dumpty, who fell on the floor and reverse that. [00:42:31] But you can in a in a very controlled situation, you can take systems which appear to be evolving statistically toward randomness, stop them, reverse them and make them go back. [00:42:46] What's the intuition behind their how to how do we do that? How do we reverse it? Are you saying a closed system? [00:42:52] Yeah, pretty much. Closed system, yes. Did you just say that time travel is possible? [00:42:58] No, I didn't say time travel was possible. I said you can make a system go backward in time and make it go back. You can make it reverse. It steps. You can make a reverse its trajectory. Yeah. How do we do with the intuition there? Does it have is it just a fluke thing that we can do at a small scale in the lab that doesn't have some things? [00:43:19] You can do it a little bit better than a small scale. You can certainly do it with a simple small system. Small systems don't have any sense of the arrow of time, atoms, atoms, no sense of an arrow of time. They're completely reversible. It's only when you have, you know, the second law of thermodynamics is the law of large numbers. [00:43:45] So you can break the law because it's not. You can break germaneness and break it. But it's hard. It requires great care. The bigger the system is, the more the hair, the more the harder it is. You have to overcome what's called chaos. And that's hard. And it requires more and more precision for ten particles. You might be able to do it with, uh, with, uh, some effort for one hundred particles. It's really hard for a thousand or a million particles. [00:44:15] Forget it, but not for any fundamental reason just because it's technologically too hard to make the system go backward. [00:44:25] So so not no time travel for engineering reasons. Oh, no, no, no, no. What is time travel, time travel, time travel to the future? That's easy. Yes. Just close your eyes, go to sleep and you wake up in the future. Yeah. Yeah. Good nap gets you there. Yeah. I would not get you there. Right. But in reversing course, second law thermionic and going backwards in time for anything that's human scale is very difficult engineering effort. [00:44:56] I wouldn't call it time travel because it gets to me to mixed up with what the science fiction calls time travel. [00:45:02] This is just the ability to reverse a system. You you take the system and you reverse the direction of motion of every molecule in it, that you can do it with one molecule. If you find a particle moving in a certain direction, let's not say a particle of baseball, you stop it dead and then you simply reverse its motion. In principle, that's not too hard. And it'll go back along its trajectory in the backward direction. Just running the program backwards. [00:45:35] Running the program backward. [00:45:36] Yeah, OK. If you have two baseballs colliding, well, you can do it, but you have to be very, very careful to get it just right. Can baseball really relate or better yet, ten, ten billiard balls on an idealized, frictionless billiard table? OK, so you start the balls on a triangle, right? And you're welcome. Yep. Depending on the game you're playing, you the whack a mole, you're really careful. But but you like them and they go flying off in all possible directions. [00:46:08] OK, try to reverse that. Try to reverse that, imagine trying to take every billiard ball, stopping it dead at at some point and reversing its motion. So that was going in the opposite direction. If you did that with tremendous care, it would reassemble itself back into the triangle. OK, that is a fact. And you can probably do it with two billiard balls, maybe with three billiard balls if you're really lucky. But what happens is as the system gets more and more complicated, you have to be more and more precise not to make the tiniest error because the tiniest errors will get magnified and you simply not be able to do the reversal. [00:46:51] So, yeah, you could do that, but I wouldn't call it time travel. [00:46:55] Yeah, there's something else. But if you think think of it, it just made me think if we think the unrolling of state that's happening as a program, if we look at the world. So the idea of looking at the world as a simulation, as a computer. [00:47:14] Right. But it's not a computer. [00:47:16] It's just a single program. And the question arises that might be useful. How how hard is it to have a computer that runs the universe? OK, so. There are mathematical universes. That we know about, one of them is called a. disorder space, where we. And it's quantum mechanics. I think we could simulated in a computer and a quantum computer, classical computer. All you can do is solve its equations. You can't make it work like the real system. [00:47:55] If we could build a quantum computer, a big enough one, a robust enough one, we could probably simulate a universe or a small version of an anti disintegrate universe and take the center as a kind of cosmology. Right. So I think we know how to do that. The trouble is, the universe that we live in is not the antithesis of geometry, it's the decision geometry, and we don't really understand the quantum mechanics at all. So at the present time, I would say we wouldn't have the vaguest idea how to simulate a universe similar to our own. [00:48:34] We could we could we build in the laboratory a small version. A quantum mechanical version, the collection of quantum computers entangled in the and coupled together, which would reproduce the phenomena that go on in the universe, even on a small scale. Yes, for the antithesis of space. [00:48:59] No, if it's the center of space, can you slightly describe the state of space and antithesis of space? Yeah. What are the geometric properties of the different? They differ by the sign of a single constant called the cosmological constant. One of them. Is negatively curved, the other is positively curved and take of space, which is the negatively curved one you can think of as an isolated system in a box with reflecting walls. [00:49:31] You could think of it as a system of quantum mechanical system, isolated in an isolated environment. The inner space is the one we really live in, and that's the one that's exponentially expanding, exponential expansion, dark energy, whatever we want to call it. And we don't understand that mathematically. Do we understand? Not everybody would agree with me, but I don't understand why they would agree with me. They definitely would agree with me that I don't understand it. [00:50:01] What about is there an understanding of the the birth? The origin? No, the big bang. So no one knows what these theories. [00:50:09] There are theories. My favorite is the one called eternal inflation, the infinity can be on both sides and one of the sides and none of the sides. So what I want to be OK. [00:50:26] Infidelity on both sides. Oh, boy, yeah, yeah, that's why is that your favorite, because it's the most just mind blowing. No, because we want a beginning. No. Why do we want to be giving? I practiced there was the beginning, of course, and practice was a beginning, but could it have been a random fluctuation in an otherwise infinite time? Maybe in any case, the the eternal inflation theory, I think, if correctly understood, would be infinite in both directions. [00:51:07] How do you think about infinity? Oh, God. So, OK. Of course you can think of a mathematically. I just finished this I just finished this discussion with my friend Sergey Brin. Yes. How do you think about infinity? I say, well, Sergey Brin is infinitely rich. Uh, how do you test that hypothesis? [00:51:26] OK, uh, such a good life, right? [00:51:30] Uh, yeah. So there's no there's really no way to visualize some of these things. [00:51:35] Like like. [00:51:36] Yeah, I know this is a very good question. The physics have any uh. Is this infinity have any place in physics. [00:51:44] Right. Right. And. All I can say is a very good question. So what do you think of the recent first image of a black hole visualized from the event Horizon telescope? [00:51:59] It's an incredible triumph of science in itself. The fact that there are black holes which collide is not a surprise. And they seem to work exactly the way they're supposed to work. Will we learn a great deal from it? I don't know. I can I we might. But the kind of things we'll learn won't really be about black holes. [00:52:22] Why, there are black holes in nature of that particular mass scale and why they're so common may tell us something about the structural evolution of structure in the universe. But I don't think it's going to tell us anything new about black holes. But it's a triumph in the sense that you go back 100 years and it was a continuous development. General relativity, the discovery of black holes, legault, the incredible technology that went into Legault. It is something. That I never would have believed was going to happen. [00:53:01] You know, 30, 40 years ago, and I think it's a magnificent structure, magnificent thing, this evolution of general relativity. Why go high precision ability to measure things on a scale of 10 to the minus 20 one? So so you're just astonishing that we just have or this just took us to this picture is a different. You know, you've thought a lot about black holes. How did you visualize them in your mind? And is the picture a different thing? [00:53:42] No, no, it's simply confirmed. You know, it's a magnificent triumph to have confirmed confirmed a direct observation that Einstein's theory of gravity at the level of black hole collisions actually works. Is awesome. It is really awesome. You know, I know some of the people who were involved in that, they're just ordinary people. Yeah. And the idea that they could carry this out. I just I'm shocked. Yeah. [00:54:14] Just these little homosapiens. Yeah. [00:54:16] Just these little monkeys got together and took a picture of slightly advanced lemurs, I think. [00:54:25] What kind of questions can science not currently answer, but you hope might be able to soon? Well, you've already addressed them. [00:54:31] What is consciousness, for example? Do you think that's within the reach of science? I think it's somewhat within the reach of science, but I think that now I think it's in the hands of the computer scientists and the neuroscientists, not a physicist, perhaps with the help, perhaps at some point. [00:54:47] But I think physicists will try to simplify it down to something that they can use their methods and maybe they're not appropriate. [00:54:55] Maybe we maybe we simply need to do more machine learning on bigger scales, evolve machines, machines not only that learn but evolve their own architecture as a process of learning, evolve architecture not under our control, only partially under our control, but under the control of machine learning. [00:55:16] Yeah, I'll tell you another thing that I find awesome. You know, this Google Bing that they taught computers how to play chess. Yeah, yeah. OK, they taught computers how to play chess not by teaching them how to play chess, but just having them play against each other, against each other, so against each other. This is a form of evolution. [00:55:35] These machines evolved, they evolved in intelligence. Involved in intelligence without anybody telling them how to do it, they were not engineered, it just played against each other and got better and better and better. That makes me think that machines can evolve intelligence, what exact kind of intelligence? I don't know, but an understanding that better and better maybe will get better clues as to what goes on in our own life and intelligence. [00:56:11] Last question. What kind of questions can science not currently answer and may never be able to answer? Yeah. Is there intelligence out there that underlies the whole thing, you can go on with the G word if you want, I can say, are we a computer simulation with a purpose? [00:56:35] Is there an agent, an intelligent agent that underlies or is responsible for the whole thing, does that intelligent agent satisfy the laws of physics? Does it satisfy the laws of quantum mechanics? Is it made of atoms and molecules? Yeah, there's a lot of questions. [00:56:53] And I don't see it seems to be a real question. It's an answerable question. Well, that's answerable. [00:57:01] The questions have to be answerable to be real. Some philosophers would say the question is not a question unless it's answerable, this question doesn't seem to be answered by any known method. But it seems to me real. There's no better place to end, I want to thank you so much for talking to Dr..

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