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Piotr Stanisław Topa

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Preprint Sep 2026

Fermionic quantum field theories as probabilistic cellular automata in three dimensions

Wetterich showed that certain 1+1D probabilistic cellular automata are equivalent to fermionic QFTs and posed the 3D construction as an open problem. We construct one: a layered automaton ("coincube") whose conversion blocks form the real quaternion representation of Cl(0,3), controlled by binary environment fields who...

Piotr Stanisław Topa · 0 citations

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