DOI-archived release · 10
Rest Energy from Density-Weighted Loop Curvature: A Covariant Locking Principle
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 Rest Energy from Density-Weighted Loop Curvature: A Covariant Locking Principle, listed in the research chronology as , with canonical citation DOI 10.5281/zenodo.20533537 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.20533537
- Zenodo record
- https://zenodo.org/records/20533537
- Source repository
- https://github.com/rickyjreyes/geometry_of_resonance
Abstract
This work formulates a covariant locking principle connecting closed-loop curvature and torsion to effective wavenumber and rest energy. It defines density-weighted geometric averages, a locking action, stationarity conditions, and the proposed mass relation E_rest = ℏ c k_eff.
Plain-language overview
Research question
Can a covariant locking principle connect closed-loop curvature and torsion to effective wavenumber and rest energy?
Main contribution
- Formulates a covariant locking principle relating loop curvature and torsion to effective wavenumber.
- Defines density-weighted geometric averages, a locking action, and stationarity conditions.
- Proposes the mass relation E_rest = ℏ c k_eff.
Evidence type
Current limitations
The locking principle and proposed mass relation are derived within WCT; independent mathematical and empirical verification are tracked as separate validation stages.
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
- Formalization
- PARTIAL
- Empirical state
- EMPIRICAL_TEST_STAGE_OPEN
- Independent replication
- NONE_RECORDED
- Repositories
Explicit falsifiers
- The declared locking assumptions hold but the inferred effective wavenumber does not track measured rest energy.
Open obligations
- Replace finite algebraic support with complete curve-integral formalization and a calibrated empirical test.
Recommended citation
Reyes, R. J. (November 11, 2025). Rest Energy from Density-Weighted Loop Curvature: A Covariant Locking Principle. Zenodo. https://doi.org/10.5281/zenodo.20533537
Citation copied to clipboard.
Machine-readable identifiers
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.