Philip Mannheim: Dark Matter and General Relativity Explained FROM SCRATCH

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This is Part One of a lecture where, as with Tim Maudlin, the professor was given unlimited time, so you can pause and check the derivations yourself. Philip Mannheim, professor of physics at the University of Connecticut, joins to explain why he traces dark matter, dark energy and quantum gravity to one cause: stretching Newton and Einstein beyond the solar system. We discuss the planet Vulcan that was never there, why dwarf galaxies are a bigger clue than spirals, the Tully-Fisher relation, and his fits to 138 galaxies with no dark matter. The conversation also covers general relativity from scratch, from metrics to the Riemann tensor, and whether Einstein’s equations are unique. Part Two is still to come.

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TIMESTAMPS: - 00:00 - Three Dark Problems, One Cause? - 08:31 - The 120-Order Cosmological Catastrophe - 13:17 - Newton, Kepler, and Ptolemy - 21:29 - Mercury's Anomalous Precession - 27:20 - Neptune Found, Vulcan Vanished - 34:12 - Galactic Rotation Curves - 40:00 - Dwarf Galaxies Break Universality - 45:48 - Where Are the WIMPs? - 52:00 - Tully-Fisher: Galaxies Know - 58:06 - Four Parameters, 138 Galaxies - 01:06:00 - Milgrom's Law and the RAR - 01:12:10 - Fourth-Order Poisson Equation - 01:20:28 - Missing Mass in Plain Sight - 01:26:13 - Confirmed Low-Acceleration Prediction - 01:33:00 - Metrics From Scratch - 01:39:00 - Why Einstein Changed Newton - 01:44:31 - Riemann Tensor: Real Gravity - 01:49:50 - Equivalence Principle Derived - 01:55:00 - Building Einstein's Equations - 02:00:54 - Light Bending and Ricci Flatness - 02:07:45 - Are Einstein's Equations Unique?

LINKS: - Dark Matter and Dark Energy Alternatives [Paper]: https://arxiv.org/abs/astro-ph/0505266 - The Case for Conformal Gravity [Paper]: https://arxiv.org/pdf/1101.2186 - Conformal Gravity at Low Acceleration [Paper]: https://inspirehep.net/literature/3155698 - Conformal Gravity's Newtonian Limit [Paper]: https://link.springer.com/article/10.1007/BF02105226 - Quadratic Potential and Galactic Rotation [Paper]: https://arxiv.org/abs/1007.0970 - Universal Rotation Curves and Tully-Fisher [Paper]: https://arxiv.org/abs/1704.03921 - Local and Global Gravity [Paper]: https://arxiv.org/abs/gr-qc/9611038 - Fitting Galactic Rotation Curves [Paper]: https://arxiv.org/abs/1011.3495 - Dwarf-Galaxy Radial Acceleration [Paper]: https://arxiv.org/pdf/2510.06905 - MOND Theory [Paper]: https://arxiv.org/pdf/1404.7661 - MOG, Cosmology and Black Holes [Paper]: https://arxiv.org/pdf/2006.12550 - High-Resolution Rotation Curves of LSB Galaxies [Paper]: https://arxiv.org/abs/astro-ph/0107326 - Dark Matter: Fact or Fantasy [Paper]: https://arxiv.org/abs/1903.11217

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