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Theories of Everything with Curt Jaimungal

Edward Frenkel: What Mathematics Reveals About Death and the Self

Theories of Everything with Curt Jaimungal

Curt Jaimungal

Physics, Philosophy, Society & Culture, Science

4.6606 Ratings

🗓️ 20 September 2023

⏱️ 193 minutes

🧾️ Download transcript

Summary

I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE Edward Frenkel, mathematician known for work on string theory and the Langlands Program, joins us on infinity, death, and personal trauma — weaving math, philosophy, and human experience.0:00 Introduction3:40 The Langlands Program9:23 Love and Math13:09 Art as a two-way street18:28 The Weil conjectures24:53 Romantic math; TOE as process vs. state30:39 Paradoxes in math & axioms33:57 Observer problem in math39:55 Philosophy's role in science51:44 "You can't get away from infinity."1:07:41 Are computers conscious? Turing1:18:33 Limits of computation1:23:29 Blurring truth & beauty1:33:48 The terrifying question of self1:36:07 Childhood memories and personal growth1:49:30 Struggle for excellence2:17:26 Death is love exposed most bare2:19:10 Function fields in higher dimensional algebraic varieties2:25:12 Superdeterminism w/ Hossenfelder Λ Kastrup2:37:08 Human aspect in scientific theories2:39:00 Atheists reason backward from God (Hamming)2:43:02 Unfulfilled promise of string theory3:01:33 Credit and ethics in science (Weinstein)SPONSORS:- Patreon: https://patreon.com/curtjaimungal- Crypto: https://tinyurl.com/cryptoTOE- PayPal: https://tinyurl.com/paypalTOE- Twitter: https://twitter.com/TOEwithCurt- Discord Invite: https://discord.com/invite/kBcnfNVwqsRESOURCES:- YouTube: https://www.youtube.com/watch?v=n_oPMcvHbAc- Love and Math (Frenkel): https://amzn.to/3ZiXyI1- From Math to Philosophy (Wang): https://amzn.to/3ZkIcTD- LOTR (Tolkien): https://amzn.to/46bZnsw- Carl Jung: https://amzn.to/44UKJF7- Marie-Louise von Franz: https://amzn.to/3sWWg9D- Bhagavad Gita: https://amzn.to/3sTfrB8- The Undecidable (Davis): https://amzn.to/48njW7u- The Emperor's New Mind (Penrose): https://amzn.to/44Zabcw- Trouble with Physics (Smolin): https://amzn.to/3sXpmG6- Lost in Math (Hossenfelder): https://amzn.to/3Pna7xy- Not Even Wrong (Woit): https://amzn.to/44XJlBx- Sabine Λ Bernardo Superdeterminism: https://youtu.be/kJmBmopxc1k- Wildberger on TOE: https://youtu.be/l7LvgvunVCM- Dror Bar Natan on TOE: https://youtu.be/rJz_Badd43c- Lex Friedman/Frenkel: https://www.youtube.com/watch?v=Osh0-J3T2nY- Borcherds on TOE (Pt 2): https://youtu.be/U3pQWkE2KqM- Borcherds on TOE (Pt 1): https://youtu.be/xu15ZbxxnUQ- Hossenfelder on TOE: https://youtu.be/walaNM7KiYA- Kastrup on TOE: https://youtu.be/lAB21FAXCDE- Weinstein on TOE: https://youtu.be/KElq_MLO1kw- Collier on String Theory: https://www.youtube.com/watch?v=kya_LXa_y1E- Wallace/Huxley (1958): https://www.youtube.com/watch?v=alasBxZsb40- Frenkel's Site: https://edwardfrenkel.com- Frenkel's Soundcloud: https://soundcloud.com/moonstein- Twitter (Frenkel): https://twitter.com/edfrenkel- YouTube (Frenkel): https://www.youtube.com/edfrenkel- Instagram (Frenkel): https://www.instagram.com/edfrenkel- Woit's Blog: https://www.math.columbia.edu/~woit/wordpress Theories of Everything with Curt Jaimungal features long-form, technically detailed interviews with leading researchers in physics, mathematics, consciousness, and philosophy, exploring topics at the level of active research. For academics, graduate students, and anyone seeking depth beyond popular science. FOLLOW: Substack | Spotify | YouTube | Twitter Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

Transcript

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0:00.0

But I think that you actually get it, you know, it's half-tonging cheek, the way you call it.

0:05.0

And you don't call it theory of everything, right? You call it theories of everything.

0:10.0

So, which kind of suggests that it's not as simple as one might think.

0:15.0

Edward Frankel is a prominent figure in the mathematical community.

0:20.0

In fact, he was a professor at Harvard at 21, which is unparalleled.

0:24.6

He's known for his work on the Langlands program, which is a blueprint aiming to bridge seemingly unrelated areas of math.

0:30.6

A key aspect of Frankl's contributions lie in his investigations of hitch and moduli spaces and cack-moody algebras.

0:36.6

But what are they? Hitch and moduli spaces and cack-moody algebras, but what are they?

0:37.7

Hitch and moduli spaces generalize certain types of differential equations, specifically

0:42.3

ones related to something called connections on vector bundles over ream on surfaces.

0:46.9

These are akin to trying to categorize different shapes based on how many corners they have.

0:51.3

Technically, these are called invariants.

0:53.2

On the other hand, cac-moodie algebras are infinite dimensional algebras, these are called invariants. On the other hand, kakmudi algebras are

0:55.1

infinite dimensional algebras, which are usually introduced as extensions of other familiar

0:59.7

structures in math. In fact, there's even a question posed by Richard Bortchards, a field medalist,

1:04.6

who took the kakmudi concept and put it on steroids with something called vertex operator

1:08.7

algebras, posing a question to Edward.

1:15.6

Also, to be clear, certain representations of those Kakmudi algebras are realized as vector operator algebras. V-OAs aren't an extension of Kakmudi. As usual, timestamps to everything

1:20.8

mentioned are in the description, as well as links to everything mentioned are in the description.

1:25.2

You can even skip this intro if you like. More important than the math, this podcast delves into Edward's personal reflections.

1:31.6

Edward touches on what it means to reconnect with yourself, and he does so while confronting

1:36.5

vast topics like infinity, death, and childhood trauma. My name's Kurtzai Mungal, and on this

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