Urs Schreiber explains how higher category theory generates physical structures from the empty set to supergravity. The discussion weaves philosophy, topology, and gauge theory to show how “something” can emerge from “nothing.”
- 00:00 - Introduction
- 01:27 - The Creation of nLab
- 04:36 - Philosophy Meets Physics
- 07:55 - The Role of Mathematical Language
- 09:32 - Emergence from Nothing
- 16:25 - Towards a Theory of Everything
- 22:21 - The Problem with Modern Physics
- 25:31 - Diving into Category Theory
- 35:30 - Understanding Adjunctions
- 41:46 - The Significance of Duality
- 52:54 - Exploring Toposes
- 1:14:20 - The UNEDA Lemma and Generalized Spaces
- 1:16:37 - Charts in Physics
- 1:20:55 - Introduction to Infinitesimal Disks
- 1:23:56 - The Emergence of Supergeometry
- 1:27:33 - Transitioning to Gauge Theories
- 1:28:11 - Exploring Singularities in Physics
- 1:32:50 - The Role of Superformal Spaces
- 1:36:44 - Functors and Their Implications
- 1:40:51 - From Nothing to Emergent Structures
- 1:43:04 - Hegel's Influence on Modern Physics
- 1:54:07 - Discovering Higher-Dimensional Structures
- 1:56:30 - The Path to 11-Dimensional Supergravity
- 1:57:21 - Universal Central Extensions
- 2:03:21 - The Journey to M-Theory
- 2:11:19 - Globalizing the Structure of Supergravity
- 2:15:36 - Understanding Global Charges in Physics
- 2:23:31 - Dirac's Insights into Gauge Potentials
- 2:30:21 - The Quest for Non-Perturbative Physics
- 2:39:04 - Conclusion
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RESOURCES:
- Link to technical details are here from Urs Schreiber: https://ncatlab.org/schreiber/show/Peri+Pantheorias
- nLab website: https://ncatlab.org/nlab/show/HomePage
- Paper on category theory: https://people.math.osu.edu/cogdell.1/6112-Eilenberg&MacLane-www.pdf
- "Higher Topos Theory for Physics" (Urs's talk): https://www.youtube.com/watch?v=GD20W6vxMI4
- "Higher Topos Theory for Physics" (Urs's paper): https://arxiv.org/pdf/2311.11026
- Stephen Wolfram on TOE: https://www.youtube.com/watch?v=0YRlQQw0d-4
- Feynman's thesis: https://faculty.washington.edu/seattle/physics541/2012-path-integrals/thesis.pdf
- Differential cohomology in a cohesive ∞-topos (Urs's paper): https://arxiv.org/pdf/1310.7930
- M-Theory from the Superpoint (paper): https://arxiv.org/pdf/1702.01774
- Character Map in Non-Abelian Cohomology, The: Twisted, Differential, and Generalized (textbook): https://amzn.to/4bFuz7H
- TOE's String Theory Iceberg: https://www.youtube.com/watch?v=X4PdPnQuwjY
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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