Speculative computational study explores new spectral model impacting multiple mathematical theories.
Main Contribution — Rev.3 FramingThis paper proposes a new spectral model that projects the incompatibility structure ofIUT theory onto a Dirac operator in noncommutative geometry (spectral language).Rev.3 introduces two key developments beyond Rev.2:(I) Finite-Size Scaling (Chapter 10): The n^1.79 spectral divergence is reframed as fractal spectral dimension d_s ~ 1.79, evidence for the adelic topology of the IUT multiverse.(II) The Algebraic Miracle (Chapter 9, NEW): The normalization constant C_norm = 1.6025 is derived by two INDEPENDENT routes: Route A: spectral zeta residue of the IUT-Dirac operator. Route B: CM elliptic curve theory via j(E_CM) = -2^15 = -32768. Their agreement elevates Lemma 1 from "unproven assumption" to "strongly evidenced conjecture."Main Conjecture: "Dalzell resonance determines the absolute lower bound of abc quality." IUT quality = (22/7)/pi = 1 + epsilon/pi = 1.000402.KS test p = 0.9973. All 47 high-quality triples (c<500) satisfy the bound.
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HIDEAKI MIYOSHI (2026) studied this question.
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