DOI-archived release · 08
Self-Emergent Fourier Cymatics: Entropic Eigenmodes out of Chaos
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 Self-Emergent Fourier Cymatics: Entropic Eigenmodes out of Chaos, listed in the research chronology as , with canonical citation DOI 10.5281/zenodo.17732648 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.17732648
- Zenodo record
- https://zenodo.org/records/17732648
- Source repository
- https://github.com/rickyjreyes/geometry_of_resonance
Abstract
This work studies the numerical evolution of broadband or random fields toward finite-band spectral support and eigenmode-like organization. It connects spectral entropy reduction, annular Fourier support, mode competition, Lyapunov descent, and Swift–Hohenberg-type dynamics.
Plain-language overview
Research question
Do broadband or random fields evolve numerically toward finite-band spectral support and eigenmode-like organization?
Main contribution
- Studies numerical evolution of broadband fields toward finite-band spectral support.
- Connects spectral entropy reduction, annular Fourier support, mode competition, and Lyapunov descent.
- Relates the dynamics to Swift–Hohenberg-type behavior.
Evidence type
Current limitations
Findings are based on numerical simulation of specific model dynamics and are subject to the chosen models, parameters, and discretization.
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
- AUTHOR_GENERATED_SIMULATION
- Independent replication
- NONE_RECORDED
- Repositories
Explicit falsifiers
- The preferred spectral shell is not robust to resolution, integrator, domain, and preregistered initial-condition changes.
Open obligations
- Publish frozen code, parameters, seeds, convergence tests, expected outputs, and independent reproduction results.
Recommended citation
Reyes, R. J. (September 16, 2025). Self-Emergent Fourier Cymatics: Entropic Eigenmodes out of Chaos. Zenodo. https://doi.org/10.5281/zenodo.17732648
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.