Computational proof study demonstrates mutually exclusive falsification predicates across three gravitational hypotheses, highlighting machine-verified bounds for empirical testing under uncertainty.
This repository contains the Three-Deviation Falsification Charter and its accompanying machine-checked Lean 4 compilation (0 sorry, 0 axioms). The artifact formalizes parameterized decision predicates for testing three empirical gravity and multi-messenger hypotheses: 1. LIGO strain-variance ratios under nonstationary noise conditions. 2. Sub-millimeter force-law deviations (GRAFIQO measurement context). 3. Supernova multi-messenger relations (gravitational-wave energy scaling and neutrino arrival timing). The compiled formalization establishes a methodological claim, not a physical one. It mathematically proves that under the declared structural conditions, the confirmation and falsification predicates are non-tautological, mutually exclusive, and explicitly preserve an undecidable geometric region—the "Opaque Center"—when measurement uncertainty overlaps with model boundaries. To prevent point-prediction fallacies, the architecture replaces exact equalities with Tier 0 tolerance semantics, mapping finite-resolution measurements as nonempty regions against admissible model bands. This archive provides the machine-verified logical infrastructure for falsification. It does not establish that the proposed physical deviations exist or that any standard model is incorrect. The physical hypotheses remain open, and empirical data remain the sole adjudicating layer.
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Timothy Bohart (2026) studied this question.
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