What does it mean to investigate the "nature of reality"? In this episode, we break down the term across philosophy, physics, mathematics, cognitive science, and theology: exploring questions of metaphysics, fundamentality, reductionism, and grounding. We also touch on a conversation with Slavoj Žižek and why the question of why the universe follows laws at all may be the deepest question of all. Plus: why art belongs in this conversation, and why "fundamental" doesn't mean what most people think it means. I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE TIMESTAMPS: - 00:00 - Metaphysical Foundations - 02:51 - Fundamentality vs. Reductionism - 05:12 - Phenomenology and Art - 07:14 - Münchhausen’s Trilemma (Curt's topological interpretation) LINKS MENTIONED: - Quantum Healing [Book]: https://amazon.com/dp/0553348698?tag=toe08-20 - Realism [Paper]: https://www.jstor.org/stable/20115760 - Mean, Means and Meaning [Article]: https://curtjaimungal.substack.com/p/mean-means-and-meaning - Harvey Friedman [TOE]: https://youtu.be/gx3uKT1qJvY - The Reverse Elephant [TOE]: https://youtu.be/q2Zgp2EhSk8 - Slavoj Žižek [TOE]: https://youtu.be/ZLVxfmfds38 - John Norton [TOE]: https://youtu.be/Tghl6aS5A3M - Most Abused Theorem in Math [TOE]: https://youtu.be/OH-ybecvuEo - Münchhausen Trilemma: https://ncatlab.org/nlab/show/M%C3%BCnchhausen+trilemma - Know Time Interviews Curt: https://youtu.be/K_jCtpQgqB0 FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices

SPONSORS: - Don’t sleep on [@ultrapouches]. New customers get 15% Off with code TOE at http://takeultra.com! #UltraPouches #ad - Shopify: Accelerate your efficiency. Free trial at http://shopify.com/theories - I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE This podcast is about dark matter — and Professor Philip Mannheim thinks it isn't missing at all, just hiding in plain sight as the rest of the visible universe. In his first-ever podcast, on ideas he's pursued since 1972, Mannheim lays out conformal gravity: a theory built on Weyl symmetry rather than Einstein's equations, which explains galaxy rotation curves without dark matter, tames the cosmological constant, and fits the accelerating universe without fine-tuning. With longtime collaborator Carl Bender, he also resolves gravity's infamous "ghost" problem using PT symmetry instead of Hermiticity — suggesting the graviton may not even exist as a particle. I hope you enjoy. FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 TIMESTAMPS: - 00:00:00 - Einstein's Relativity Foundations - 00:05:47 - Riemann Tensor and Curvature - 00:11:50 - Flaws in Einstein's Equations - 00:17:23 - Quantum Gravity Renormalizability - 00:23:28 - Conformal Symmetry Principles - 00:30:09 - Dynamical Mass Generation - 00:37:08 - Inflation and Horizon Problems - 00:43:55 - Renormalization Group Fixed Points - 00:51:05 - Composite Higgs Solution - 00:57:03 - Weyl Tensor Action - 01:03:44 - Solving Dark Matter - 01:09:36 - Cosmic Coincidence Problem - 01:16:27 - Hubble Tension and Redshift - 01:24:31 - PT Symmetry and Ghosts - 01:31:21 - Probability Conservation vs. Hermiticity - 01:38:13 - CPT Theorem and Fermions - 01:45:14 - Quantum Decays and Resonances - 01:51:05 - Parity and Right-Handed Neutrinos - 01:56:14 - Gravitons and Wavefunction Collapse - 02:02:24 - Cyclic Universes and Singularities - 02:08:24 - String Theory Fine-Tuning - 02:14:45 - Unitarity and Poincaré Stresses - 02:21:02 - Gravitational Lensing and Tenure - 02:26:55 - Nature and Experimental Data LINKS MENTIONED: - Philip's Papers: https://inspirehep.net/authors/998943 - Newton's Law Of Gravity: https://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation - Geodesics: https://en.wikipedia.org/wiki/Geodesics_in_general_relativity - Equivalence Principle: https://en.wikipedia.org/wiki/Equivalence_principle - Introduction To General Relativity [Book]: https://amazon.com/dp/0070004234?tag=toe08-20 - Foundation Of The General Theory Of Relativity [Paper]: https://isidore.co/misc/Physics%20papers%20and%20books/St.%20John's%20College's,%20TAC's%20curricula's,%20et%20alii%20sci.%20papers/1916-%20The%20Foundation%20of%20the%20General%20Theory%20of%20Relativity%20(Einstein).pdf - Dynamical Symmetry Breaking As A Bootstrap [Paper]: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.12.1772 - Dynamics Of The Universe And Spontaneous Symmetry Breaking [Paper]: https://ui.adsabs.harvard.edu/abs/1980ApJ...241L..59K/abstract - Mass Generation, The Cosmological Constant Problem, Conformal Symmetry, And The Higgs Boson [Paper]: https://arxiv.org/abs/1610.08907 - Living Without Supersymmetry [Paper]: https://arxiv.org/abs/1506.01399 - Exact Vacuum Solution To Conformal Weyl Gravity And Galactic Rotation Curves [Paper]: https://ui.adsabs.harvard.edu/abs/1989ApJ...342..635M/abstract - No-Ghost Theorem For The Pais-Uhlenbeck Oscillator [Paper]: https://arxiv.org/abs/0706.0207 - Fitting Galactic Rotation Curves With Conformal Gravity [Paper]: https://arxiv.org/abs/1011.3495 - Cosmic Coincidence Problem: https://en.wikipedia.org/wiki/Cosmic_coincidence_problem - Cosmological Perturbations In Conformal Gravity [Paper]: https://arxiv.org/pdf/1109.4119 - Implications Of Cosmic Repulsion For Gravitational Theory [Paper]: https://arxiv.org/abs/astro-ph/9804335 - Exact Solution To Perturbative Conformal Cosmology [Paper]: https://arxiv.org/abs/2101.02608 - CPT Symmetry Without Hermiticity [Paper]: https://arxiv.org/abs/1611.02100 - Jenny Wagner [TOE]: https://youtu.be/Bj4Ra75vvTc - Neil Turok [TOE]: https://youtu.be/_xxLW71vT4s - Chiara Marletto [TOE]: https://youtu.be/Uey_mUy1vN0 - John Donoghue [TOE]: https://youtu.be/dG_uKJx6Lpg - Cumrun Vafa [TOE]: https://youtu.be/kUHOoMX4Bqw Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices

I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE Does Batman exist? Not really—but proving he doesn't turns out to be a logical minefield. This episode tackles negative existentials: why saying "X doesn't exist" seems to require referring to X in the first place. We trace the debate from Russell's theory of descriptions, through Kripke's devastating critique in Naming and Necessity, to Meinong's radical claim that non-existent objects still populate our domain of discourse. Plus: null pointer exceptions as computer science's Meinongianism, why AI struggles with fictional facts, and why three competing theories—descriptivism, Meinongianism, and abstract realism—each come with a steep philosophical price tag. I hope you enjoy. TIMESTAMPS: - 00:00 - The Batman Paradox - 03:26 - Russell’s Theory of Descriptions - 06:36 - Kripke’s Rigid Designators - 09:44 - Meinongian Domain Quantification - 12:45 - Nuclear and Extra-Nuclear Properties - 15:50 - Modal Descriptivism and AI - 18:54 - Presentism and Temporal Ontology LINKS MENTIONED: - Diana Pasulka [TOE]: https://youtu.be/E5MuTHUbMUs - Why I Don't Buy The Simulation Hypothesis [TOE]: https://youtu.be/3_lBPMc6JRY - Elan Barenholtz [TOE]: https://youtu.be/A36OumnSrWY - Naming And Necessity [Book]: https://neuroself.wordpress.com/wp-content/uploads/2020/11/naming-and-necessity-full-text.pdf - Tractatus Logico-Philosophicus [Book]: https://amazon.com/dp/0486404455?tag=toe08-20 - Critique Of Pure Reason [Book]: https://amazon.com/dp/0140447474?tag=toe08-20 - The Interpretations Of Quantum Mechanics In 5 Minutes [Article]: https://curtjaimungal.substack.com/p/the-interpretations-of-quantum-mechanics - Alexius Meinong: https://plato.stanford.edu/entries/meinong/ - On Denoting [Paper]: https://www.uvm.edu/~lderosse/courses/lang/Russell(1905).pdf - Graham Priest [TOE]: https://youtu.be/ZGOMmGK4eeY - Nonexistent Objects [Book]: https://amazon.com/dp/0300024045?tag=toe08-20 - Abstract Objects [Book]: https://amazon.com/dp/9027714746?tag=toe08-20 - Noam Chomsky [TOE]: https://youtu.be/RIY0GFtHU2U - John Vervaeke [TOE]: https://youtu.be/GVj1KYGyesI - Presentism: https://iep.utm.edu/time/ - Joscha Bach [TOE]: https://youtu.be/3MNBxfrmfmI - Existence [Book]: https://amazon.com/dp/1107625262?tag=toe08-20 FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices

SPONSORS: - Go to https://www.plaud.ai/curt and use the promo code "CURT" to get a Plaud device today - Accelerate your efficiency. Sign up for your one-dollar-per-month trial today at http://shopify.com/theories - I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE This is a podcast all about time: depending on how you look at it, that's either unnerving or exhilarating. Professor Simon Saunders — Emeritus Fellow at Merton College, Oxford, and one of the most celebrated philosophers of physics alive — goes deep on what time actually is, why special relativity demands a block universe, and what any of this has to do with the Many Worlds Interpretation. Why doesn't space inherit the paradoxes of time? What's really missing from the block universe picture (and is it the same thing missing from quantum probability?) Saunders argues that Bell inequality violations aren't evidence against locality but evidence for Many Worlds, presents a novel derivation of the Born rule from a single physical postulate, and sketches a quantum version of Leibniz's monadology as a possible path through the mind-body problem. I hope you enjoy. FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 TIMESTAMPS: - 00:00:00 - Defining Temporal Passage - 00:05:03 - Block Universe and Relativity - 00:11:15 - The Timeless Viewpoint - 00:18:07 - CMB and Global Time - 00:23:19 - Persistence and Spatial Revisitability - 00:31:02 - Philosophy of Physics Foundations - 00:38:46 - Relativistic Localization Problems - 00:49:22 - Reeh-Schlieder and Vacuum States - 00:55:23 - Branching and Actuality - 01:05:41 - Interval Probabilities and Frequentism - 01:14:14 - Decoherent Histories Interpretation - 01:25:49 - Ontic Structural Realism - 01:32:15 - Deriving the Born Rule - 01:38:02 - Leibnizian Quantum Monadology LINKS MENTIONED: - Simon's Papers: https://scholar.google.com/citations?user=htEv3XIAAAAJ - Many Worlds? [Book]: https://amazon.com/dp/0199560560?tag=toe08-20 - A Brief History of Time [Book]: https://amazon.com/dp/0553380168?tag=toe08-20 - How Relativity Contradicts Presentism [Paper]: https://users.ox.ac.uk/~lina0174/kansas.pdf - Trouble With Quantum Mechanics [Article]: https://www.nybooks.com/articles/2017/01/19/trouble-with-quantum-mechanics/ - Locality, Complex Numbers, and Relativistic Quantum Theory [Paper]: https://www.jstor.org/stable/192768 - Bohmian Mechanics: https://plato.stanford.edu/entries/qm-bohm/ - Finite Frequentism Explains Quantum Probability [Paper]: https://arxiv.org/abs/2404.12954 - Chance in the Everett Interpretation [Paper]: https://arxiv.org/abs/1609.04720 - Reeh-Schlieder Defeats Newton-Wigner [Paper]: https://arxiv.org/abs/quant-ph/0007060 - Everett's Thesis [Paper]: https://cqi.inf.usi.ch/qic/everett_phd.pdf - Physics and Leibniz's Principles [Paper]: https://philpapers.org/rec/SAUPAL-2 - Critical Exposition of the Philosophy of Leibniz [Book]: https://amazon.com/dp/1605204536?tag=toe08-20 - Avshalom Elitzur [TOE]: https://youtu.be/pWRAaimQT1E - David Wallace [TOE]: https://youtu.be/4MjNuJK5RzM - David Deutsch [TOE]: https://youtu.be/vKeWv-cdWkM - Sean Carroll [TOE]: https://youtu.be/9AoRxtYZrZo - Tim Maudlin [TOE]: https://youtu.be/fU1bs5o3nss - Sechit Madra (Trainer): https://www.instagram.com/sechit_madra More links at https://curtjaimungal.substack.com Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices

SPONSORS: - Exclusive Plaud Prime Day discount for Curt's viewers: use code CURT for up to 20% OFF at https://www.plaud.ai/curt - Accelerate your efficiency. Sign up for your one-dollar-per-month trial today at http://shopify.com/theories - I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE This is a breaking podcast. We're premiering a new paradigm for quantizing 4D gravity here first, without strings. Neil Turok — inaugural Higgs Chair at Edinburgh, former director of Perimeter Institute, and 2026 Fellow of the Royal Society — believes quantum gravity may not require strings, extra dimensions, or a multiverse. The key: a 1970s theory called quadratic gravity, long abandoned over two seemingly fatal problems. Turok and Bateman argue both problems dissolve — one by reinterpreting a classical instability as ordinary gravitational expansion, the other by a subtle tweak to the Born rule that allows quantum states of negative norm without ever producing negative probabilities. One quiet assumption, Turok argues, underpins decades of string theory's necessity. Drop it, and the whole case for a multiverse unravels. Neil graciously gave me a sneak peek at his and his PhD student Sam Bateman's new research. Bleeding edge! I hope you enjoy. TIMESTAMPS: - 00:00:00 - Quadratic Gravity Emergence - 00:05:03 - Renormalization and Asymptotic Freedom - 00:10:57 - Ghosts and Krein Spaces - 00:16:00 - Generalizing the Born Rule - 00:23:27 - Ostrogradsky Instability Reinterpreted - 00:31:29 - UV Completeness and QCD - 00:38:21 - Higgs Compositeness and Hierarchy - 00:43:58 - CPT Symmetric Universe Minimalism - 00:52:54 - The 36 Fields Mystery - 01:00:10 - Orthodoxy vs. Revolutionary Ideas - 01:06:39 - Gravitational Entropy and Smoothness - 01:16:14 - Multiverse Measure Problem - 01:23:05 - Theoretical Physics Health - 01:30:07 - Sam Bateman’s Breakthrough - 01:43:33 - Philosophy of Cosmology LINKS MENTIONED: - Neil's Papers: https://inspirehep.net/authors/985402 - Renormalization of Higher-Derivative Quantum Gravity [Paper]: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.16.953 - Quadratic Gravity: https://en.wikipedia.org/wiki/Quadratic_gravity - Asymptotic Freedom in Higher-Derivative Quantum Gravity [Paper]: https://www.sciencedirect.com/science/article/abs/pii/0370269385902485 - Ostrogradsky's Theorem: http://www.scholarpedia.org/article/Ostrogradsky's_theorem_on_Hamiltonian_instability - Krein Space: https://en.wikipedia.org/wiki/Indefinite_inner_product_space - CPT-Symmetric Universe [Paper]: https://arxiv.org/abs/1803.08928 - Pathologies of Dimension-Zero Scalar Fields [Paper]: https://arxiv.org/abs/2603.05683 - No-Ghost Theorem for Pais-Uhlenbeck Oscillator [Paper]: https://arxiv.org/abs/0706.0207 - Cancelling the Vacuum Energy [Paper]: https://arxiv.org/abs/2110.06258 - Gravitational Entropy [Paper]: https://arxiv.org/abs/2201.07279 - Neil's Lecture: https://pirsa.org/15100070 - Neil Turok on the Big Bang [TOE]: https://youtu.be/ZUp9x44N3uE - Neil Turok on Black Holes [TOE]: https://youtu.be/zNZCa1pVE20 - Carlo Rovelli [TOE]: https://youtu.be/hF4SAketEHY - Leonard Susskind [TOE]: https://youtu.be/2p_Hlm6aCok - Jacob Barandes [TOE]: https://youtu.be/wrUvtqr4wOs - Geoffrey Hinton [TOE]: https://youtu.be/b_DUft-BdIE - Harvey Friedman [TOE]: https://youtu.be/gx3uKT1qJvY - Scott Aaronson [TOE]: https://youtu.be/1ZpGCQoL2Rk - David Deutsch [TOE]: https://youtu.be/vKeWv-cdWkM - Peter Woit & Joseph Conlon [TOE]: https://youtu.be/fAaXk_WoQqQ More links at https://curtjaimungal.substack.com FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices

SPONSORS: - Accelerate your efficiency. Sign up for your one-dollar-per-month trial today at http://shopify.com/theories - I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE Roman Yampolskiy has spent two decades being right about things people wished he wasn't — and he's not here to scare you, but to be precise. He argues AI alignment isn't merely unsolved but fundamentally under-defined: no agreed-upon values, no way to formalize them even if there were, and no mechanism for enforcing them on something smarter than its creators. His strongest argument isn't a doom scenario, it's that you cannot indefinitely control something smarter than you. FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://tinyurl.com/paypalTOE TIMESTAMPS: - 00:00:00 - Defining General Intelligence - 00:05:58 - AI Instrumental Convergence - 00:11:11 - The Orthogonality Thesis - 00:16:15 - Escaping the Simulation - 00:21:45 - Principle of Indifference - 00:27:51 - Acquired Savant Syndrome - 00:33:51 - LLM Internal States - 00:41:02 - AI Safety Impossibility Results - 00:47:16 - Public Misconceptions - 00:53:21 - Existential vs. Suffering Risks - 01:01:20 - AI Alignment Definition Crisis - 01:09:28 - Computational Irreducibility - 01:16:20 - Substrate Independence - 01:22:50 - Philosophical Zombie Critique - 01:29:57 - The Cassandra Paradox - 01:37:35 - Religion and Simulation - 01:46:03 - Digital Physics Evidence - 01:51:20 - Limits of Control LINKS MENTIONED: - Roman's Papers: https://scholar.google.com/citations?user=0_Rq68cAAAAJ - Roman's Podcast: https://www.youtube.com/channel/UCPIq6Bb-1iLmqyksJjy4kLQ - Roman's Twitter: https://x.com/romanyam - Roman's Facebook: https://www.facebook.com/roman.yampolskiy - AI Identity [Paper]: https://philarchive.org/archive/ZIETPO-7 - Basic AI Drives [Paper]: https://selfawaresystems.com/wp-content/uploads/2008/01/ai_drives_final.pdf - Qualia in Agents [Paper]: https://arxiv.org/abs/1712.04020 - Orthogonality Thesis [Paper]: https://nickbostrom.com/superintelligentwill.pdf - Escape the Simulation [Paper]: https://www.researchgate.net/publication/369187097_How_to_Escape_From_the_Simulation - Could This AI Be Conscious? [Article]: https://unherd.com/2026/05/is-ai-the-next-phase-of-evolution - Impossibility Results in AI [Paper]: https://arxiv.org/abs/2109.00484 - When AIs Act Emotional: https://youtu.be/D4XTefP3Lsc - Hacking the Simulation [Paper]: https://philarchive.org/rec/YAMHTS-2 - Autonomous Machine Intelligence [Paper]: https://openreview.net/pdf?id=BZ5a1r-kVsf - Hinton on Maternal Instincts [Article]: https://fortune.com/2025/08/14/godfather-of-ai-geoffrey-hinton-maternal-instincts-superintelligence/ - Singleton Hypothesis [Paper]: https://nickbostrom.com/fut/singleton - New Kind of Science [Book]: https://amazon.com/dp/1579550088?tag=toe08-20 - On AI Controllability [Paper]: https://arxiv.org/abs/2008.04071 - Universe as Numerical Simulation [Paper]: https://arxiv.org/abs/1210.1847 - Nir Lahav [TOE]: https://youtu.be/3nHiOtnnrzA - Joscha Bach [TOE]: https://youtu.be/3MNBxfrmfmI - Bas Van Fraassen [TOE]: https://youtu.be/lhpRAWxvY5s - Simulation Hypothesis [TOE]: https://youtu.be/3_lBPMc6JRY - Geoffrey Hinton [TOE]: https://youtu.be/b_DUft-BdIE - Max Tegmark [TOE]: https://youtu.be/-gekVfUAS7c - Stephen Wolfram [TOE]: https://youtu.be/FkYer0xP37E - David Chalmers [TOE]: https://youtu.be/5r9V1ryksnw More links: https://curtjaimungal.substack.com Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices

SPONSORS: - Go to https://www.plaud.ai/curt to get a Plaud device today - Go to https://shortform.com/toe for a free trial and an exclusive $50 OFF on your annual subscription - I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE Harvey Friedman — the youngest professor in Stanford's history, founder of reverse mathematics, and the mathematician Kurt Gödel chose to sponsor his final paper — has spent 60 years on one question: can ordinary, finite math be trusted? His theorems show that even concrete statements involving nothing more exotic than rational numbers cannot be proved or refuted within ZFC. The foundations of mathematics, Friedman argues, are not settled bedrock but vertiginous — made more mysterious, not less, by his own work. FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 TIMESTAMPS: - 00:00:00 - Gödel’s Incompleteness Misinterpretations - 00:09:48 - Woodin vs. Friedman Foundations - 00:17:28 - Category Theory vs. Logic - 00:24:30 - Borel Determinacy Paradoxes - 00:31:23 - Embedded Maximality Principles - 00:41:18 - Tree(3) and Kruskal’s Theorem - 00:47:40 - Finitism and Large Cardinals - 00:53:11 - Divine Consistency and Angels - 01:03:25 - Reverse Mathematics Origins - 01:11:14 - Constructive Logic and Intuitionism - 01:21:17 - Theology and AI Immortality LINKS MENTIONED: - Harvey Friedman Papers: https://u.osu.edu/friedman.8/foundational-adventures/publications/ - Harvey Friedman YouTube: https://www.youtube.com/@harveyfriedman4465/videos - Harvey Friedman Chess Club: https://cclchess.com/ - This Man Is About to Blow Up Mathematics [Article]: https://nautil.us/this-man-is-about-to-blow-up-mathematics-236446 - Harvey Lecture at OSU: https://youtu.be/NAGQD-bSXok - Most Abused Theorem in Math [TOE]: https://youtu.be/OH-ybecvuEo - John Norton [TOE]: https://youtu.be/Tghl6aS5A3M - Emily Riehl [TOE]: https://youtu.be/mTwvecBthpQ - What Is Infinity? [TOE]: https://youtu.be/rHtqGrtcB1w - Norman Wildberger [TOE]: https://youtu.be/l7LvgvunVCM - Wolfgang Smith [TOE]: https://youtu.be/lF4S_P_o-g0 - Scott Aaronson [TOE]: https://youtu.be/1ZpGCQoL2Rk - Consciousness Iceberg [TOE]: https://youtu.be/65yjqIDghEk - Edward Frenkel [TOE]: https://youtu.be/n_oPMcvHbAc - Elan Barenholtz [TOE]: https://youtu.be/A36OumnSrWY - Michael Levin [TOE]: https://youtu.be/c8iFtaltX-s - Godel Incompleteness Theorems: https://plato.stanford.edu/entries/goedel-incompleteness/ - Consistency of Axiom of Choice [Book]: https://archive.org/details/dli.ernet.469796/page/18/mode/2up - Independence of Continuum Hypothesis [Paper]: https://www.jstor.org/stable/71858 - Borel Determinacy [Paper]: https://www.jstor.org/stable/1971035 - Paris-Harrington Theorem: https://mathworld.wolfram.com/Paris-HarringtonTheorem.html - The God Letter: https://uncertaintist.wordpress.com/wp-content/uploads/2012/10/einstein-letter-gutkind-excerpts.pdf - Undecidable Propositions of Principia Mathematica [Book]: https://amazon.com/dp/0486669807?tag=toe08-20 - Categories for the Working Mathematician [Book]: https://amazon.com/dp/1441931236?tag=toe08-20 - On Necessary Use of Abstract Set Theory [Paper]: https://www.sciencedirect.com/science/article/pii/0001870881900219 - Borel Set: https://en.wikipedia.org/wiki/Borel_set More links: https://curtjaimungal.substack.com Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices

SPONSORS: - Go to https://shortform.com/toe for a free trial and an exclusive $50 OFF on your annual subscription - Go to https://vanman.shop/curt to get 15% off your order - Go to https://www.plaud.ai/curt to get a Plaud device today - I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE Janna Levin — Claire Tow Professor of Physics and Astronomy at Barnard College, founding Director of Sciences at Pioneer Works, and co-host of Quanta's The Joy of Why — works with Brian Greene to explore whether hidden Klein-bottle dimensions could explain why matter beat antimatter after the Big Bang. The geometry does the work — no fudged parameters. FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://tinyurl.com/paypalTOE TIMESTAMPS: - 00:00:00 - Universe as Gödel Sentence - 00:05:24 - Unknowable Initial Conditions - 00:10:28 - AI and Non-Computable Consciousness - 00:15:36 - The Hard Problem Paradox - 00:25:25 - Klein Bottle Topology - 00:32:04 - Pin Structures and Chirality - 00:39:56 - Breaking Matter-Antimatter Symmetry - 00:51:26 - Topology and Dark Energy - 00:57:00 - Black Hole Information Paradox - 01:07:04 - ER=EPR and Firewalls - 01:13:37 - Black Holes as Particles - 01:18:42 - Emergent Gravity and Holography - 01:23:43 - Rejecting Physical Infinities - 01:31:41 - Narrative Truth vs. Axioms - 01:41:22 - Insomnia and Mathematical Madness - 01:47:22 - Scientific Mysticism and Honesty - 01:53:34 - Biological Morality and Advice LINKS MENTIONED: - Janna's Substack: jannalevin.substack.com - Janna's Books: amazon.com/stores/author/B001IXTNZQ - Janna's Papers: inspirehep.net/authors/1000438 - Pioneer Works: pioneerworks.org - Whales Don't Want to Go to Mars [Article]: jannalevin.substack.com/p/billions-of-exoplanets-zero-aliens - Black Hole Blues [Book]: amzn.to/4cPOcfr - A Madman Dreams of Turing Machines [Book]: amazon.com/dp/1400032407?tag=toe08-20 - Gödel Incompleteness Theorems: plato.stanford.edu/entries/goedel-incompleteness - Gödel Numbering: en.wikipedia.org/wiki/G%C3%B6del_numbering - Wave Function of the Universe [Paper]: isidore.co/misc/Physics%20papers%20and%20books/Classic%20Papers/Wavefunction%20of%20the%20Universe%20(Hartle%20&%20Hawking).pdf - Janna & Penrose at Oxford: jannalevin.substack.com/p/penrose-and-mein-oxford - Hard Problem of Consciousness [Paper]: consc.net/papers/facing.pdf - Klein Bottle: mathworld.wolfram.com/KleinBottle.html - Klein Bottle Cosmology [Paper]: arxiv.org/abs/2511.23447 - Brane-World Motion in Compact Dimensions [Paper]: arxiv.org/abs/1103.2174 - Dark Energy & Extra Dimensions [Paper]: arxiv.org/abs/0707.1062 - Particle Creation by Black Holes [Paper]: link.springer.com/article/10.1007/BF02345020 - BH Complementarity [Paper]: arxiv.org/abs/hep-th/9306069 - Black Holes: Complementarity or Firewalls? [Paper]: arxiv.org/abs/1207.3123 - Thermodynamics of Spacetime [Paper]: arxiv.org/abs/gr-qc/9504004 - Most Abused Theorem in Math [TOE]: youtu.be/OH-ybecvuEo - Roger Penrose [TOE]: youtu.be/sGm505TFMbU - Roger Penrose [Part 2]: youtu.be/iO03t21xhdk - Neil Turok [TOE]: youtu.be/zNZCa1pVE20 - David Chalmers [TOE]: youtu.be/5r9V1ryksnw - Brian Greene [TOE]: youtu.be/O2EtTE9Czzo - Leonard Susskind [TOE]: youtu.be/2p_Hlm6aCok - Ted Jacobson [TOE]: youtu.be/3mhctWlXyV8 - Juan Maldacena [TOE]: youtu.be/6LbRHMvyrik More links at https://curtjaimungal.substack.com Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices

SPONSORS: - Go to https://shortform.com/toe for a free trial and an exclusive $50 OFF on your annual subscription - I personally subscribe to The Economist. TOE listeners get 35% off the annual subscription. No other podcast has this! https://economist.com/TOE Juan Maldacena wrote the most cited paper in theoretical physics, birthing AdS/CFT and realizing holography — and today, the problem keeping him up at night is wormholes. He suspects space-time isn't fundamental at all, that geometry itself might be what entanglement looks like from the inside. The singularity isn't a place, it's a name for everything we don't yet understand. I hope you enjoy it. FOLLOW: - Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://nowpayments.io/donation/TOE - PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 TIMESTAMPS: - 00:00:00 - Emergent Space-Time Geometry - 00:05:28 - GR and QM Incompatibility - 00:11:52 - The Singularity Problem - 00:17:00 - Extremal Black Hole Thermodynamics - 00:22:00 - The Island Formula - 00:27:30 - Spacetime and Quantum Information - 00:34:15 - ER equals EPR - 00:41:51 - Traversable Wormhole Physics - 00:47:24 - Simulating Wormholes with Qubits - 00:52:53 - Celestial Holography and Symmetries - 00:58:00 - dS/CFT and Dark Energy - 01:04:24 - Quantum Error Correction Codes - 01:10:00 - The Physicist’s Mindset - 01:15:19 - Inflationary Gravity Wave Predictions - 01:21:03 - Clocks and Emergent Time - 01:26:44 - Is Space-Time Doomed? - 01:32:00 - AI in Theoretical Physics - 01:38:00 - Overcoming Academic Inadequacy LINKS MENTIONED: - Juan Maldacena's Website: https://www.ias.edu/sns/malda - Large N Limit of Superconformal Field Theories [Paper]: https://arxiv.org/abs/hep-th/9711200 - Eternal Black Holes in AdS [Paper]: https://arxiv.org/abs/hep-th/0106112 - Holographic Derivation of Entanglement Entropy [Paper]: https://arxiv.org/abs/hep-th/0603001 - Real Observers Solving Imaginary Problems [Paper]: https://arxiv.org/abs/2412.14014 - Building Spacetime with Quantum Entanglement [Paper]: https://arxiv.org/abs/1005.3035 - Entropy of Bulk Quantum Fields [Paper]: https://arxiv.org/abs/1905.08762 - Entanglement Wedge Reconstruction [Paper]: https://arxiv.org/abs/1905.08255 - Comments on the Double Cone Wormhole [Paper]: https://arxiv.org/abs/2310.11617 - Traversable Wormholes in Four Dimensions [Paper]: https://arxiv.org/abs/1807.04726 - JT Gravity as a Matrix Integral [Paper]: https://arxiv.org/abs/1903.11115 - Single-Minus Gluon Tree Amplitudes [Paper]: https://arxiv.org/abs/2602.12176 - Bulk Locality and Quantum Error Correction [Paper]: https://arxiv.org/abs/1411.7041 - Black Hole Information Paradox: https://en.wikipedia.org/wiki/Black_hole_information_paradox - Chilloquium 2023 [Lecture]: https://youtu.be/Ow81IJyzmUQ - Erik Verlinde [TOE]: https://youtu.be/ilVImMHcr_g - Leonard Susskind [TOE]: https://youtu.be/2p_Hlm6aCok - Edward Frenkel [TOE]: https://youtu.be/RX1tZv_Nv4Y More links at https://curtjaimungal.substack.com Guests do not pay to appear. #science Learn more about your ad choices. Visit megaphone.fm/adchoices