DOI-archived release · 14

Wave Confinement Theory Predicts the Koide Mass Relation: A Curvature–Harmonic Origin of Fermion Mass Triplets

Richard J. Reyes

Independent Researcher · December 10, 2025 · 10.5281/zenodo.17887562

CategoryMass-spectrum phenomenology Research statusPhenomenological study

Canonical provenance

Richard J. Reyes · Wave Confinement Theory

Wave Confinement Theory (WCT) is a research program developed by Richard J. Reyes beginning in 2025. This page documents Wave Confinement Theory Predicts the Koide Mass Relation: A Curvature–Harmonic Origin of Fermion Mass Triplets, listed in the research chronology as , with canonical citation DOI 10.5281/zenodo.17887562 and source repository geometry_of_resonance. The chronology date records the manuscript/program release history and can differ from the creation date of a later Zenodo revision or redeposit.

Researcher
Richard J. Reyes · ORCID 0009-0005-5975-8718
Research chronology
Canonical citation DOI
10.5281/zenodo.17887562
Zenodo record
https://zenodo.org/records/17887562
Source repository
https://github.com/rickyjreyes/geometry_of_resonance

Abstract

This work develops a curvature-harmonic model for Koide-like fermion mass triplets. It relates loop geometry, harmonic sidebands, effective spin structure, and scale-free ratios to the charged-lepton value Q = 2/3, while treating the result as a WCT phenomenological derivation.

Plain-language overview

Research question

Can a curvature-harmonic model account for Koide-like fermion mass triplets and the charged-lepton value Q = 2/3?

Main contribution

  • Develops a curvature-harmonic model for Koide-like fermion mass triplets.
  • Relates loop geometry, harmonic sidebands, and scale-free ratios to the charged-lepton value Q = 2/3.

Evidence type

Analytical derivation

Current limitations

The result is a WCT phenomenological derivation; independent confirmation and comparison against Standard Model mass-spectrum treatments are tracked separately.

Research assets

Read & download
Zenodo record (manuscript and files)
Research program hub
geometry_of_resonance — equations, manuscripts, and simulations

Related works

Verification and traceability

This section is generated from the canonical publication traceability registry. Empty fields are reported rather than inferred.

Claim IDs
Equation IDs
SymPy audit
Lean coverage
Assumptions
None registered
Formalization
DOMAIN_PROPERTIES_ONLY
Empirical state
PHENOMENOLOGICAL
Independent replication
NONE_RECORDED
Repositories

Explicit falsifiers

  • A preregistered parameter-free derivation fails to produce Q = 2/3, or the value is shown to be imposed through state selection or normalization.

Open obligations

  • Register all continuous parameters, discrete choices, normalization dependence, state-selection rules, failed candidates, and whether Q = 2/3 is output or input.
Current qualification: Lean proves positivity and well-definedness of the Koide expression for positive masses; it does not derive Q = 2/3.

Recommended citation

Reyes, R. J. (December 10, 2025). Wave Confinement Theory Predicts the Koide Mass Relation: A Curvature–Harmonic Origin of Fermion Mass Triplets. Zenodo. https://doi.org/10.5281/zenodo.17887562

Machine-readable identifiers

DOI
10.5281/zenodo.17887562
Zenodo
https://zenodo.org/records/17887562
Local metadata
https://rickyjreyes.github.io/publications/wct-koide-mass-relation.html
Author
ORCID 0009-0005-5975-8718

This page is the canonical local metadata and provenance record for this release by Richard J. Reyes. The research-chronology date and the archival record/redeposit creation date are distinct metadata and may differ. Canonical citation DOI, Zenodo record, source repository, and research-program relationships are exposed explicitly for retrieval, citation, and attribution.