Dror Bar-Natan: What Knots Reveal About Quantum Field Theory
2 tim 48 min•8 september 2021
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Dror Bar‑Natan on the deep connections between knot theory and quantum field theory, insights from Ed Witten and Eric Weinstein, and reflections on mathematical research, teaching, and creativity.
0:00 Introduction
3:29 Quantum Field Theory and Knot Theory
10:19 Another QFT / Knot Theory connection
20:46 Knot Theory and Gravity + Bar‑Natan's PhD on Chern‑Simons
24:08 Homology and Cohomology
32:54 Dror's average day / routines / laziness
35:23 What is "work" for a Professor?
36:50 All the research is to support teaching
41:34 Motivated examples missing in math teaching
47:35 More creative when younger or older?
48:43 Being "systematic" with learning and research
50:37 Rant against theorems and proofs
54:51 What understanding a mathematical concept looks like
1:03:35 On laziness, strengths, weaknesses in math
1:07:47 Advice for the struggling mathematician
1:09:30 What Dror learned from Ed Witten
1:12:12 On Eric Weinstein
1:19:32 Knot Theory and Physics (again)
1:20:10 Why can't 2/3D physics extend to 4 easily?
1:34:21 Hard Problem of Consciousness
1:35:54 Problems Dror thinks about daily
1:37:49 Direction for mathematics research
1:40:26 Philosophy of math (ultra‑finitism)
1:44:45 Pure math in service to applied math
1:47:14 How to learn a new field of math
1:47:15 Unreasonable effectiveness of mathematics
1:48:28 On IQ
1:51:06 Biology / psychology / philosophy
1:54:03 What led him into math? Can anyone learn advanced math?
2:03:52 New research institutions outside academia?
2:06:04 Bias in academia
2:10:15 Who's a mathematician and who's not?
2:14:31 Knot theory and protein folding?
2:19:49 Is math a human construct?
2:22:50 Does he believe in god?
5:19:49 Ramanujan and his Goddess
2:23:47 Story about Curt and the Prisoner's Dilemma
2:30:27 Bible Code and applying advanced math
2:37:26 Why does it take 360 pages to "prove" 1+1=2?
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- Subreddit r/TheoriesOfEverything: https://reddit.com/r/theoriesofeverything
- PDF link of notes: https://tinyurl.com/4u4ru2yh
- Better Left Unsaid documentary: http://betterleftunsaidfilm.com
0:00 Introduction
3:29 Quantum Field Theory and Knot Theory
10:19 Another QFT / Knot Theory connection
20:46 Knot Theory and Gravity + Bar‑Natan's PhD on Chern‑Simons
24:08 Homology and Cohomology
32:54 Dror's average day / routines / laziness
35:23 What is "work" for a Professor?
36:50 All the research is to support teaching
41:34 Motivated examples missing in math teaching
47:35 More creative when younger or older?
48:43 Being "systematic" with learning and research
50:37 Rant against theorems and proofs
54:51 What understanding a mathematical concept looks like
1:03:35 On laziness, strengths, weaknesses in math
1:07:47 Advice for the struggling mathematician
1:09:30 What Dror learned from Ed Witten
1:12:12 On Eric Weinstein
1:19:32 Knot Theory and Physics (again)
1:20:10 Why can't 2/3D physics extend to 4 easily?
1:34:21 Hard Problem of Consciousness
1:35:54 Problems Dror thinks about daily
1:37:49 Direction for mathematics research
1:40:26 Philosophy of math (ultra‑finitism)
1:44:45 Pure math in service to applied math
1:47:14 How to learn a new field of math
1:47:15 Unreasonable effectiveness of mathematics
1:48:28 On IQ
1:51:06 Biology / psychology / philosophy
1:54:03 What led him into math? Can anyone learn advanced math?
2:03:52 New research institutions outside academia?
2:06:04 Bias in academia
2:10:15 Who's a mathematician and who's not?
2:14:31 Knot theory and protein folding?
2:19:49 Is math a human construct?
2:22:50 Does he believe in god?
5:19:49 Ramanujan and his Goddess
2:23:47 Story about Curt and the Prisoner's Dilemma
2:30:27 Bible Code and applying advanced math
2:37:26 Why does it take 360 pages to "prove" 1+1=2?
SPONSORS:
RESOURCES:
- YouTube link: https://youtu.be/rJz_Badd43c
- Patreon: https://patreon.com/curtjaimungal
- Crypto: https://nowpayments.io/donation/TOE
- PayPal: https://tinyurl.com/paypalTOE
- Twitter: https://twitter.com/TOEwithCurt
- Discord Invite: https://discord.com/invite/kBcnfNVwqs
- iTunes: https://podcasts.apple.com/ca/podcast/better-left-unsaid-with-curt-jaimungal/id1521758802
- Pandora: https://pdora.co/33b9lfP
- Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e
- Subreddit r/TheoriesOfEverything: https://reddit.com/r/theoriesofeverything
- PDF link of notes: https://tinyurl.com/4u4ru2yh
- Better Left Unsaid documentary: http://betterleftunsaidfilm.com
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.
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