The Last Theory

How to simplify the causal graph

Dec 11, 2025
Dive into the chaotic world of hypergraphs and causal graphs from Wolfram Physics. Discover a simple edge-flipping rule to simplify complex structures into one-dimension. Mark illustrates how to identify and collapse duplicate events to untangle the spaghetti of the causal graph. Explore the emergence of interconnected diamond patterns and their implications for mass, momentum, and quantum mechanics. This journey takes you from chaos to clarity, revealing essential physics questions encoded in the resulting diamond causal framework.
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INSIGHT

Causal Graphs Rapidly Become Intractable

  • The causal graph for Wolfram Physics becomes incomprehensible very quickly even for simple rules and short evolutions.
  • Mark Jeffery argues we must simplify causal graphs to make physics emergent properties tractable.
ADVICE

Two Practical Ways To Simplify

  • Simplify causal graphs two ways: use much simpler rules and collapse duplicate event nodes.
  • Mark Jeffery presents these as practical steps to make causal graphs analyzable.
ANECDOTE

Edge-Flipping Rule Demo

  • Mark Jeffery demonstrates an extremely simple edge-flipping rule applied to a one-dimensional universe with seven nodes.
  • The rule flips two outgoing edges at a node to be incoming, keeping nodes unchanged and keeping the universe one-dimensional.
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