Spectral Asymmetry of C137 and the Origin of the Fine-Structure Constant: a Self-Contained Account

Abstract

We present a single, self-contained account of a discrete framework in which the fine-structure constant α⁻¹ = 137.035999… is decomposed as α⁻¹ = N + η with N = 137 and η = π²/2N = π²/274 = 0.0360204540…, and in which both integers 137 and 13 are forced by two independent and convergent selection mechanisms acting on a cyclic causal hypergraph C₁₃₇ with GF(2) linear constraints. All mathematics used in the paper is proved or derived in place; every numerical claim is recomputed; every physical reading is assigned an explicit epistemic status — theorem [T], definition or postulated principle [D], prediction [P], conjecture [C], or excluded reading [X] — and every excluded reading is confronted with data.

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