DOI-archived release · 27
Geometric Turbulence in Wave Confinement Theory: Phase-Locked Curvature Filaments and the Soliton-Gas Regime
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 Geometric Turbulence in Wave Confinement Theory: Phase-Locked Curvature Filaments and the Soliton-Gas Regime, listed in the research chronology as , with canonical citation DOI 10.5281/zenodo.22666935 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.22666935
- Zenodo record
- https://zenodo.org/records/22666935
- Source repository
- https://github.com/rickyjreyes/geometry_of_resonance
Abstract
This numerical study examines phase-locked curvature filaments in driven nonlinear WCT-like dynamics and reports a soliton-gas regime with persistent localized structures and a characteristic filament-length distribution.
Plain-language overview
Research question
Do driven nonlinear curvature dynamics self-organize into persistent phase-locked filaments with statistically stable length structure?
Main contribution
- Simulates phase-locked curvature-filament formation in three-dimensional nonlinear dynamics.
- Compares filament-length statistics and reports a persistent soliton-gas regime.
Evidence type
Current limitations
The result is numerical and model-specific; continuum existence, unbounded-domain stability, and direct physical correspondence remain open.
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
- NUMERICAL_STUDY
- Empirical state
- AUTHOR_GENERATED_SIMULATION
- Independent replication
- NONE_RECORDED
- Repositories
Explicit falsifiers
- The reported filament statistics or soliton-gas regime fail under frozen resolution, integrator, domain, seed, and model-comparison checks.
Open obligations
- Publish or preserve frozen numerical artifacts, convergence tests, and independent reproduction; establish continuum and physical correspondence separately.
Recommended citation
Reyes, R. J. (September 8, 2026). Geometric Turbulence in Wave Confinement Theory: Phase-Locked Curvature Filaments and the Soliton-Gas Regime. Zenodo. https://doi.org/10.5281/zenodo.22666935
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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.