The Cosmic Chiral Resonance Theory: Geometric Octave Unification

The Cosmic Chiral Resonance Theory (CCRT) proposes a fundamental geometric scaling law that unifies key physical constants through chiral resonance principles. We demonstrate that the proton-to-electron mass ratio mp/me = 1836.152673 emerges naturally from a discrete octave symmetry, where the fine-structure constant α₀ = 1/137 serves as the fundamental "137-Interval" of a universal chiral scale. This framework derives the electromagnetic coupling, lepton mass ratios, and neutrino mixing angles from first principles, without free parameters. The theory provides falsifiable predictions for precision measurements and cosmological observations, establishing a bridge between quantum mechanics and geometric number theory. Version 3.0 introduces critical corrections: (1) Resolved LaTeX compilation errors for full PDF accessibility, (2) Unified author identification under ORCID 0009-0000-3369-7009, (3) Standardized publication date to 7 June 2026. This version supersedes all previous drafts and represents the canonical reference for CCRT.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-12
DOI
https://doi.org/10.5281/zenodo.20652510
Primary Topic
Neutrino Physics Research
Type
preprint
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preprint

The Cosmic Chiral Resonance Theory: Geometric Octave Unification

Amer Mohamed Ahmad Mansour
Zenodo (CERN European Organization for Nuclear Research)
Neutrino Physics Research
preprint

The Cosmic Chiral Resonance Theory: Geometric Octave Unification

Amer Mohamed Ahmad Mansour
preprint en

Abstract

The Cosmic Chiral Resonance Theory (CCRT) proposes a fundamental geometric scaling law that unifies key physical constants through chiral resonance principles. We demonstrate that the proton-to-electron mass ratio mp/me = 1836.152673 emerges naturally from a discrete octave symmetry, where the fine-structure constant α₀ = 1/137 serves as the fundamental "137-Interval" of a universal chiral scale. This framework derives the electromagnetic coupling, lepton mass ratios, and neutrino mixing angles from first principles, without free parameters. The theory provides falsifiable predictions for precision measurements and cosmological observations, establishing a bridge between quantum mechanics and geometric number theory. Version 3.0 introduces critical corrections: (1) Resolved LaTeX compilation errors for full PDF accessibility, (2) Unified author identification under ORCID 0009-0000-3369-7009, (3) Standardized publication date to 7 June 2026. This version supersedes all previous drafts and represents the canonical reference for CCRT.

Zenodo (CERN European Organization for Nuclear Research)
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Neutrino Physics Research
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The Cosmic Chiral Resonance Theory: Geometric Octave Unification — Amer Mohamed Ahmad Mansour · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS