DOI-archived release · 26
Filament Reduction and Phase Quantization of Curvature-Locked Modes
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 Filament Reduction and Phase Quantization of Curvature-Locked Modes, listed in the research chronology as , with canonical citation DOI 10.5281/zenodo.22666758 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.22666758
- Zenodo record
- https://zenodo.org/records/22666758
- Source repository
- https://github.com/rickyjreyes/geometry_of_resonance
Abstract
This work reduces curvature-locked field structure to an effective filament description and derives phase-quantization conditions for localized modes within the WCT spectral-dynamics program.
Plain-language overview
Research question
Can localized curvature-locked field configurations be reduced to filament dynamics with explicit phase-quantization conditions?
Main contribution
- Develops an effective filament reduction for curvature-locked modes.
- Derives phase-closure and quantization relations for the reduced dynamics.
Evidence type
Current limitations
The reduced model still requires continuum-level existence and stability results and empirical identification with physical localized structures.
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
- MATHEMATICAL_DERIVATION
- Empirical state
- NUMERICAL_PHYSICAL_MAPPING_OPEN
- Independent replication
- NONE_RECORDED
- Repositories
Explicit falsifiers
- The reduced filament model fails to reproduce the declared phase-closure relations of the parent dynamics.
Open obligations
- Register the reduction assumptions, prove approximation validity, and connect the reduced modes to continuum stability.
Recommended citation
Reyes, R. J. (September 8, 2026). Filament Reduction and Phase Quantization of Curvature-Locked Modes. Zenodo. https://doi.org/10.5281/zenodo.22666758
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.