[Oct 2023 - Feb 2024]

Wolfram Fundamental Physics Project | Computations

<aside> đź“’ A cellular automaton computed via a hypergraph rewritings.

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This idea was inspired by Stephen Wolfram talk about a discrete model of a universe.

I wanted to recreate Conway’s Game of Life using hypergraph rewriting ruleset – plus expand the concept with a notion of unfolding space.

Two posts were written as a result of that:

The full Game of Life was not simulated – but a “truncated” version with a case of only 2 neighbors was successfully calculated. Interestingly, the way the information propagated through space had a limit – very reminiscent of the finality of the speed of light. The speed of light is the speed of causality – the fasted information can travel.

Screenshots

Unfolding 2D grid

Unfolding 2D grid

Output of the simulation of Game of Life for the case of two neighbors

Output of the simulation of Game of Life for the case of two neighbors

[UPD, summer 2024]