A Speculative Computational Study on the Connection Between IUT Theory, Quantum Mechanics, the Riemann Hypothesis, and the abc Conjecture
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.
Authors
- HIDEAKI MIYOSHI (ORCID: https://orcid.org/0009-0006-6899-1607)
Institutions
- German Games Industry Association (DE)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-19
- DOI
- https://doi.org/10.5281/zenodo.20289713
- Primary Topic
- Advanced Operator Algebra Research
- Type
- preprint