in Wolfram Physics

Here’s a slightly technical question:

Does Wolfram Physics really need *hypergraphs*?

Or could it based on *graphs* instead?

Jonathan Gorard shares some interesting insights into the evolution of Stephen Wolfram’s model for a fundamental theory of physics.

Wolfram started with trivalent graphs, in which each edge joins *two* nodes, and each node has *three* edges.

But when he ran into issues implementing simulations using these simple *graphs*, he solved the problem by graduating to *hypergraphs*, in which each *hyperedge* can join any number of nodes, and each node can have any number of *hyperedges*.

Here’s how hypergraphs, rather than graphs, came to be the basis of Wolfram Physics.

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Jonathan Gorard

- Jonathan Gorard at The Wolfram Physics Project
- Jonathan Gorard at Cardiff University
- Jonathan Gorard on Twitter

Concepts mentioned by Jonathan

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