DOI-archived release · 09
Emergence of Effective Mass: Solenoidal Topology of Vibrational Energy
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 Emergence of Effective Mass: Solenoidal Topology of Vibrational Energy, listed in the research chronology as , with canonical citation DOI 10.5281/zenodo.17459463 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.17459463
- Zenodo record
- https://zenodo.org/records/17459463
- Source repository
- https://github.com/rickyjreyes/geometry_of_resonance
Abstract
This preprint develops a geometric model in which effective mass arises from vibrational energy constrained to curved, torsional, or solenoidal paths. It relates loop geometry, phase delay, curvature, torsion, and confinement to inertial behavior and cavity-scale predictions.
Plain-language overview
Research question
Can effective mass arise geometrically from vibrational energy constrained to curved, torsional, or solenoidal paths?
Main contribution
- Develops a geometric model relating loop geometry, phase delay, curvature, and torsion to effective mass.
- Connects confinement geometry to inertial behavior and cavity-scale predictions.
Evidence type
Current limitations
The model is a geometric WCT proposal with cavity-scale predictions that define direct experimental tests.
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
- A parameter-frozen curvature-to-mass prediction disagrees with measurement after uncertainty propagation.
Open obligations
- Show dynamic selection of the curvature scale and publish a calibrated experiment that distinguishes the model from dimensional fitting.
Recommended citation
Reyes, R. J. (October 27, 2025). Emergence of Effective Mass: Solenoidal Topology of Vibrational Energy. Zenodo. https://doi.org/10.5281/zenodo.17459463
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.