Preprint · Release 08
Self-Emergent Fourier Cymatics: Entropic Eigenmodes out of Chaos
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)
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- geometry_of_resonance — equations, manuscripts, and simulations
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Verification and traceability
This section is generated from the canonical publication traceability registry. Empty fields are reported rather than inferred.
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- Assumptions
- Formalization
- PARTIAL
- Empirical state
- AUTHOR_GENERATED_SIMULATION
- Independent replication
- NONE_RECORDED
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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
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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.