In this excerpt from my conversation with Jonathan Gorard, he proposes that particles in Wolfram Physics might be persistent topological obstructions in the hypergraph.He starts with a toy model in which elementary particles are non-planar tangles moving and interacting in an otherwise planar hypergraph.But he doesn’t stop there.He explains that there’s an infinite variety of hypergraphs that give rise to such persistent topological obstructions.These localized tangles behave in ways that look a lot like particle physics.—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
Concepts mentioned by Jonathan
Utility graph
Kuratowski’s theorem
Wagner’s theorem

Complete graphs – including K_5

Complete bipartite graphs – including K_3,3
Robertson-Seymour Theorem
Graph minor
Forbidden minor characterization
Image:Feynman diagram Feynmann Diagram Gluon Radiation by Joel Holdsworth, public domain—The Last Theory is hosted by Mark Jeffery, founder of the Open Web MindI release The Last Theory as a video too! Watch here.Kootenay Village Ventures Inc.