How to derive general relativity from Wolfram Physics with Jonathan Gorard

Video Description

Here’s a masterclass from Jonathan Gorard. One of the most compelling results to come out of the Wolfram Physics is Jonathan’s derivation of the Einstein equations from the hypergraph. Whenever I hear anyone criticize the Wolfram model for bearing no relation to reality, I tell them this: Jonathan Gorard has proved that general relativity can be derived from the hypergraph. In this excerpt from our conversation, Jonathan describes how making just three reasonable assumptions – causal invariance, asymptotic dimension preservation and weak ergodicity – allowed him to derive the vacuum Einstein equations from the Wolfram model. In other words, the structure of space-time in the absence of matter more or less falls out of the hypergraph. And making one further assumption – that particles can be treated as localized topological obstructions – allowed Jonathan to derive the non-vacuum Einstein equations from the Wolfram model. In other words, the structure of space-time in the presence of matter, too, falls out of the hypergraph. It’s difficult to overstate the importance of this result. At the very least, we can say that the Wolfram model is consistent with general relativity. To state it more strongly: we no longer need to take general relativity as a given; instead, we can derive it from Wolfram Physics. — Jonathan’s seminal paper on how to derive general relativity • Some Relativistic and Gravitational Properties of the Wolfram Model https://arxiv.org/abs/2004.14810 also published in Complex Systems https://www.complex-systems.com/abstracts/v29_i02_a03/ Jonathan Gorard • Jonathan Gorard at The Wolfram Physics Project https://www.wolframphysics.org/people/jonathan-gorard/ • Jonathan Gorard at Cardiff University https://www.cardiff.ac.uk/people/view/2648612-gorard-jonathan • Jonathan Gorard on Twitter https://twitter.com/getjonwithit • The Centre for Applied Compositionality http://www.appliedcompositionality.com/ • The Wolfram Physics Project https://www.wolframphysics.org/ People mentioned by Jonathan • Alfred Gray https://en.wikipedia.org/wiki/Alfred_Gray_(mathematician) Research mentioned by Jonathan • The volume of a small geodesic ball of a Riemannian manifold by Alfred Gray https://projecteuclid.org/journals/michigan-mathematical-journal/volume-20/issue-4/The-volume-of-a-small-geodesic-ball-of-a-Riemannian/10.1307/mmj/1029001150.full • Tubes by Alfred Gray https://archive.org/details/springer_10.1007-978-3-0348-7966-8/page/n19/mode/2up Concepts mentioned by Jonathan • Hausdorff dimension https://en.wikipedia.org/wiki/Hausdorff_dimension • Geodesic balls, tubes & cones https://www.wolframphysics.org/technical-introduction/limiting-behavior-and-emergent-geometry/geodesics/ • Ricci scalar curvature https://en.wikipedia.org/wiki/Scalar_curvature • Ricci curvature tensor https://en.wikipedia.org/wiki/Ricci_curvature • Einstein equations https://en.wikipedia.org/wiki/Einstein_field_equations • Einstein–Hilbert action https://en.wikipedia.org/wiki/Einstein%E2%80%93Hilbert_action • Relativistic Lagrangian density https://en.wikipedia.org/wiki/Relativistic_Lagrangian_mechanics • Causal graph https://writings.stephenwolfram.com/2020/04/finally-we-may-have-a-path-to-the-fundamental-theory-of-physics-and-its-beautiful/#the-graph-of-causal-relationships • Tensor rank https://mathworld.wolfram.com/TensorRank.html • Trace https://en.wikipedia.org/wiki/Trace_(linear_algebra) From A Project to find the Fundamental Theory of Physics by Stephen Wolfram: • Dimension https://www.wolframphysics.org/technical-introduction/limiting-behavior-and-emergent-geometry/the-notion-of-dimension/ • Curvature https://www.wolframphysics.org/technical-introduction/limiting-behavior-and-emergent-geometry/curvature/ Images • Spinning and chargend black hole with accretion disk https://commons.wikimedia.org/wiki/File:Spinning_and_chargend_black_hole_with_accretion_disk.jpg by Simon Tyran, Vienna (Симон Тыран) https://commons.wikimedia.org/wiki/User:Yukterez licensed under CC BY-SA 4.0 https://creativecommons.org/licenses/by-sa/4.0/deed.en • Альфред Грэй в Греции https://commons.wikimedia.org/wiki/File:%D0%90%D0%BB%D1%8C%D1%84%D1%80%D0%B5%D0%B4_%D0%93%D1%80%D1%8D%D0%B9_%D0%B2_%D0%93%D1%80%D0%B5%D1%86%D0%B8%D0%B8.jpg by AlionaKo licensed under CC BY-SA 3.0 https://creativecommons.org/licenses/by-sa/3.0/deed.en — The Last Theory https://lasttheory.com/ is hosted by Mark Jeffery https://markjeffery.com/ founder of the Open Web Mind https://www.openwebmind.com/ Prefer to listen to the audio? Search for The Last Theory in your podcast player, or listen at https://lasttheory.com/podcast/047-how-to-derive-general-relativity Kootenay Village Ventures Inc.