Preprint · Release 10
Rest Energy from Density-Weighted Loop Curvature: A Covariant Locking Principle
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 and await independent verification.
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
- NOT_TESTED
- 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
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Machine-readable identifiers
This landing page provides accessible summaries and citation metadata for an archival preprint. The authoritative manuscript and downloadable files are maintained on the Zenodo DOI record. Wave Confinement Theory is an evolving independent framework; claims should be evaluated according to the derivations, simulations, experiments, data analyses, assumptions, and limitations stated in the paper itself.