The Geometric Unity Iceberg... Oh Boy.

Eric Weinstein's framework for a unified theory of everything in physics... I've been working on this project assiduously and secretly since last year. It's been several months in the making, with several rewrites and several re-edits. It's finally ready to be released, thus shadow dropping it now. It's a 3-hour iceberg on Eric Weinstein's Geometric Unity. I work on understanding and explaining different Theories of Everything for a living, and this one is unlike any other you've seen. This iceberg covers the graduate-level math, but it also constantly provides explainers aimed at different levels for those who are uninitiated with physics and differential geometry. Enjoy. As a listener of TOE you can get a special 20% off discount to The Economist and all it has to offer! Visit https://www.economist.com/toe Join My New Substack (Personal Writings): https://curtjaimungal.substack.com Listen on Spotify: https://tinyurl.com/SpotifyTOE Become a YouTube Member (Early Access Videos): https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join LAYER 0: INTRODUCTION TO GEOMETRIC UNITY - 00:00:00 - Introduction to Geometric Unity LAYER 1: FOUNDATIONS OF A THEORY OF EVERYTHING - 00:02:34 - Introduction to Geometric Unity - What is a Theory of Everything? - The Current State of Fundamental Physics - The Core Equations of Modern Physics - Term-by-Term Breakdown of Fundamental Physics - The Analogy Between Einstein and Yang-Mills LAYER 2: MATHEMATICAL CONSTRUCTIONS - 00:14:09 - GU in 4 minutes! - The Observerse Construction - The Frame Bundle and Its Double Cover - Observation Maps - Tangent Bundle Construction - Vertical and Horizontal Bundles - The Zorro Construction - The Chimeric Bundle - The Frobenius Inner Product - Signature Selection (7,7) - Defining Spinors Without a Metric - The Structure Group and Representation Theory - Principal Bundle Construction - The Inhomogeneous Gauge Group - Right Action on Connections - The Augmented Torsion Tensor - The Shiab Operator - The First-Order Action - Field Equations - Fermions and Supersymmetry - The Deformation Complex - The Seesaw Mechanism - Structure Group Reduction - Three Generations from the Complex - Higgs from Yang-Mills - Trace and Traceless Contributions - Natural Quartic Potential - Yukawa as Minimal Coupling - Higgs-Yang-Mills Correspondence - The Missing Quadratic Term - Emergence of Cosmological Constant and CKM Matrix LAYER 3: EXPLAINING THE UNIVERSE IN GU - 01:20:46 - Welcome to Layer 3 and Brief Recap - Einstein-Hilbert Action in GU - Yang-Mills-Maxwell Term in GU - Dirac Action in GU - Higgs Sector: Derivation of the Higgs Kinetic and Potential Terms - Yukawa Coupling: Derivation via Minimal Coupling - Lorentz Group and the Standard Model Gauge Group - Family Quantum Numbers: Q = ℂ₁₆ₕ - Three Families of Matter: ψ = ⊕ᵃ³ψₐ - CKM and PMNS Mixing Matrices - Dirac Equation in Geometric Unity - Klein-Gordon Equation in Geometric Unity - Einstein Field Equation in Geometric Unity - Yang-Mills Equation in Geometric Unity - Notes on the Simplicity of Physics Equations - Layer 3 Conclusion LAYER 4: GU AT FOUR LEVELS OF UNDERSTANDING - 02:32:45 - Geometric Unity Explained To A Five Year Old - Geometric Unity Explained To An Undergraduate - Geometric Unity at the Graduate Level - Geometric Unity at the PhD Level - Open Questions in GU CONCLUSION - 02:55:30 - Recap: 30 Steps of Geometric Unity - Final Thoughts and Acknowledgments Support TOE on Patreon: https://patreon.com/curtjaimungal Twitter: https://twitter.com/TOEwithCurt Discord Invite: https://discord.com/invite/kBcnfNVwqs MISC LINKS: - Eric Weinstein on TOE: https://www.youtube.com/watch?v=KElq_MLO1kw - Curt’s String Theory Iceberg: https://www.youtube.com/watch?v=X4PdPnQuwjY - Curt’s Substack on “Explain like I’m Five” https://curtjaimungal.substack.com/p/why-we-should-stop-saying-explain - The bimetric model with an informational metric tensor (paper): https://arxiv.org/pdf/2309.11037 - Eric Weinstein with Mick West on TOE: https://www.youtube.com/watch?v=dwcjpmVOmqc - Curt’s Consciousness Iceberg: https://youtu.be/65yjqIDghEk - The Standard Model as an effective field theory (paper): https://arxiv.org/pdf/1706.08945 - Curt's lecture on Natural Units: https://youtu.be/e8kyvdPP8os - Curt's talk on “Debunking Particles Taking All Paths”: https://youtu.be/XcY3ZtgYis0 - Richard Behiel's channel (for Spinor and Higgs video): https://www.youtube.com/@RichBehiel #science