Preregistered 'physics from relations' simulation fails first large-scale run

tallmetommy · x · 2026-11-02

The author turned the hypothesis that "physical laws are the residue of mutually consistent relations" into a minimal model: no coordinates, distances, or pre-existing lattice—only relational graphs and a frozen microscopic energy rule—with preregistered success criteria (λ₂N^(-2/d) finite-size scaling, ds≈dH, dw→2) run at N=32/64/128/256 with 4 seeds.

Result: the low-energy regime recovers an exact cycle-like 1D phase, but no stable higher-dimensional continuum phase emerged, and parallel tempering completed zero full cold-to-hot round trips, failing the equilibrium-sampling requirement too. The honest verdict: the theory is neither confirmed nor dead—just not validated by the first large run.

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