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 [ Ссылка ] also published in Complex Systems [ Ссылка ]

Jonathan Gorard

• Jonathan Gorard at The Wolfram Physics Project [ Ссылка ]
• Jonathan Gorard at Cardiff University [ Ссылка ]
• Jonathan Gorard on Twitter [ Ссылка ]

• The Centre for Applied Compositionality [ Ссылка ]
• The Wolfram Physics Project [ Ссылка ]

People mentioned by Jonathan

• Alfred Gray [ Ссылка ]

Research mentioned by Jonathan

• The volume of a small geodesic ball of a Riemannian manifold by Alfred Gray [ Ссылка ]
• Tubes by Alfred Gray [ Ссылка ]

Concepts mentioned by Jonathan

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

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

• Dimension [ Ссылка ]
• Curvature [ Ссылка ]

Images

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

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The Last Theory [ Ссылка ] is hosted by Mark Jeffery [ Ссылка ] founder of the Open Web Mind [ Ссылка ]

Prefer to listen to the audio? Search for The Last Theory in your podcast player, or listen at [ Ссылка ]

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