The Last Theory

Sep 21, 2023

How to derive general relativity from Wolfram Physics with Jonathan Gorard

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.

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Jonathan’s seminal paper on how to derive general relativity

- Some Relativistic and Gravitational Properties of the Wolfram Model; also published in Complex Systems

Jonathan Gorard

- Jonathan Gorard at The Wolfram Physics Project
- Jonathan Gorard at Cardiff University
- Jonathan Gorard on Twitter
- The Centre for Applied Compositionality
- The Wolfram Physics Project

People mentioned by Jonathan

Research mentioned by Jonathan

- The volume of a small geodesic ball of a Riemannian manifold by Alfred Gray
- Tubes by Alfred Gray

Concepts mentioned by Jonathan

- Hausdorff dimension
- Geodesic balls, tubes & cones
- Ricci scalar curvature
- Ricci curvature tensor
- Einstein equations
- Einstein–Hilbert action
- Relativistic Lagrangian density
- Causal graph
- Tensor rank
- Trace

From *A Project to find the Fundamental Theory of Physics* by Stephen Wolfram:

Images

- Spinning and chargend black hole with accretion disk by Simon Tyran, Vienna (Симон Тыран) licensed under CC BY-SA 4.0
- Альфред Грэй в Греции by AlionaKo licensed under CC BY-SA 3.0

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The Last Theory is hosted by Mark Jeffery, founder of the Open Web Mind

I release The Last Theory as a video too! Watch here.

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