Philip Mannheim: The Story of Conformal Gravity

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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.

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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

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