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David P Lowe

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#diffusion models Open access Sep 2026

Addressing Request For Explicit Falsification - Admissibility Targets 4-2-1 & Inverse Admissibility Program

Addressing requests to stress-test pre-geometric model and find a viable path to spatial dimension, here is the full open falsification record covering Runs 1–27. While early tests (Runs 1–16) disproved that smooth 3D geometry emerges from simple diffusion, Runs 18–27 demonstrate that higher-order relational structure is built through ordered boundary closure. Across 10 new test series, local capacity limits repeatedly created a stable, self-repairing dimension-3 simplicial plateau. This report details the exact failure limits, null controls, and mathematical bounds for external review."

David P Lowe · 0 citations