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.

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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
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preprint

A Speculative Computational Study on the Connection Between IUT Theory, Quantum Mechanics, the Riemann Hypothesis, and the abc Conjecture

HIDEAKI MIYOSHI
Zenodo (CERN European Organization for Nuclear Research)
Advanced Operator Algebra Research
preprint

A Speculative Computational Study on the Connection Between IUT Theory, Quantum Mechanics, the Riemann Hypothesis, and the abc Conjecture

HIDEAKI MIYOSHI
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
German Games Industry Association (DE)
Advanced Operator Algebra Research
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