Cauchy Surfaces and Global Hyperbolicity

Many people think physics / reality is either guided by a probabilistic distribution or is “determined.” Actually, there’s a third, far‐more unsettling option. Curt Jaimungal explains why Einstein’s general relativity isn't actually deterministic. He discusses how Cauchy horizons and closed time-like curves break predictability, showing that math and physics don't always guarantee a set future for our universe. This is a solo deep‑dive. One that he's been meaning to make for a while. 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 FOLLOW: - Substack: https://curtjaimungal.substack.com/subscribe - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs - Crypto: https://commerce.coinbase.com/checkout/de803625-87d3-4300-ab6d-85d4258834a9 - PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 LINKS MENTIONED: - This Cosmologist Discovered Something Strange: https://youtu.be/73IdQGgfxas - The Most Abused Theorem in Math (Gödel's Incompleteness): https://youtu.be/OH-ybecvuEo - Harvard Scientist: "There Is No Quantum Multiverse" | Jacob Barandes [Part 3]: https://youtu.be/wrUvtqr4wOs - The Quantum Mechanics of Time Travel: https://youtu.be/yCQ_3qE6SmQ - The Dangerous Lie About Understanding: https://youtu.be/eASBzSNB8ts - Discovery That Changed Physics! Gravity Is Not a Force!: https://youtu.be/3pZNzF6LBII - Einstein's Amazing Theory of Gravity: Black Holes and Novel Ideas in Cosmology, Roger Penrose | LMS: https://youtu.be/xAcvNnSrkcM - The Geodesic Equation: Introduction and Derivation: https://youtu.be/5_79m-kHxts - Interpretation of the Wavefunction: https://youtu.be/R-5hjmV-bdY - Is the Future Already Set in Stone?: https://youtu.be/JBkB2D-_ZH0 - What Is Astrophysics Actually Explained: https://youtu.be/TCrRs_OBN0E - What Triggered the Big Bang? | How the Universe Works: https://youtu.be/gup4Cc0Ube0 - Visualization of the Gödel Universe: https://youtu.be/078jOiaevAQ - Iceberg of String Theory: https://youtu.be/X4PdPnQuwjY - The 300-Year-Old Physics Mistake No One Noticed: https://youtu.be/Tghl6aS5A3M - JB Manchak: Spacetime Asymmetry: https://youtu.be/lFbfhISreFY - Carlo Rovelli [TOE]: https://youtu.be/hF4SAketEHY - General Relativity Is Not (Technically) Deterministic: https://curtjaimungal.substack.com/p/general-relativity-is-not-deterministic - The Strong Cosmic Censorship Conjecture by Maxime Van de Moortel [Paper]: https://arxiv.org/pdf/2501.13180 - Some Black Holes Erase Your Past: https://www.sciencedaily.com/releases/2018/02/180221091334.htm - Determinism and General Relativity [Paper]: https://arxiv.org/pdf/2009.07555 - A Family of Local Deterministic Models for Singlet Quantum State Correlations [Paper]: https://arxiv.org/html/2408.09579v1 - Examples of Cosmological Spacetimes Without CMC Cauchy Surfaces: https://link.springer.com/article/10.1007/s11005-024-01843-7 - Asymptotic Dynamics on the Worldlines for Spinning Particles [Paper]: https://arxiv.org/abs/2009.07863 - World Line: https://en.wikipedia.org/wiki/World_line - Counterexamples in Topology [Book]: https://link.springer.com/book/10.1007/978-1-4612-6290-9 - Quantum Charged Black Holes [Paper]: https://arxiv.org/pdf/2404.07192 - Charged Hayward Black Hole with a Cosmological Constant and Surrounded by Quintessence and a Cloud of Strings [Paper]: https://arxiv.org/pdf/2511.02191 - Strong Cosmic Censorship in Charged Black-Hole Spacetimes: Still Subtle [Paper]: https://arxiv.org/pdf/1808.03631 - Chaos and Deterministic Versus Stochastic Non-Linear Modelling: https://academic.oup.com/jrsssb/article/54/2/303/7035838 - Reopening the Hole Argument by Klaas Landsman [Paper]: https://arxiv.org/pdf/2206.04943 - Is Time Travel Too Strange to Be Possible? [Paper]: https://arxiv.org/pdf/1704.02295 - Counterexamples in Topology [Book]: https://link.springer.com/book/10.1007/978-1-4612-6290-9

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