Preprint · Release 09
Emergence of Effective Mass: Solenoidal Topology of Vibrational Energy
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 proposal within WCT; its cavity-scale predictions remain to be tested experimentally.
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
- 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
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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.