Industrial automation, nonlinear wave dynamics, scientific computing, and experimental research
Richard J. Reyes is a controls engineer and independent researcher in industrial automation, nonlinear wave dynamics, scientific computing, and experimental analysis. His research program develops Wave Confinement Theory (WCT) — a geometric framework in which mass, force, spectra, and effective spacetime geometry emerge from confined, resonant oscillatory fields — alongside open-data analysis, physical experiments, complexity theory, AI architecture, and resonance-based control.
- Research website: accessible summaries, publication discovery, research-status labels, and the complete searchable archive.
- Technical research hub: manuscripts, equations, simulations, experiments, code, and reading maps.
- Zenodo releases: permanent DOI records and downloadable publications.
The maintained WCT research stack has a frozen, CI-verified release that pins the exact canonical-equation, SymPy, Lean, simulation, and published-registry source commits.
git clone https://github.com/rickyjreyes/rickyjreyes.github.io.git
cd rickyjreyes.github.io
make reproduceThis rebuilds and verifies the 142-object registry, full SymPy audit, Lean formal layer, deterministic finite-band simulation, regenerated figure, source hashes, expected artifact hashes, Docker environment, and Nix environment. A successful run establishes release reproducibility, not physical validation or independent replication.
- Reproduce WCT-2026.1
- About
- The research idea
- Start here — reading paths
- Main research branches
- Engineering and software
- Publications and Zenodo releases
- How to cite
- Background and contact
Richard J. Reyes is a controls engineer and independent researcher working across industrial automation, nonlinear wave dynamics, scientific computing, and experimental analysis.
He holds a B.S. in Computer Science from San José State University and works in industrial refrigeration and process automation, including PLC logic, instrumentation, alarms, sequencing, networked HMIs, commissioning, and control-system troubleshooting.
His independent research program centers on Wave Confinement Theory (WCT) and its extensions into mathematical physics, open-data analysis, experimental systems, computation, cryptography, AI architecture, and resonance-based control.
- Research website: rickyjreyes.github.io
- ORCID: 0009-0005-5975-8718
- Research hub: geometry_of_resonance
- 22 publications indexed on Zenodo (2025–2026), listed with DOIs below.
Wave Confinement Theory is a proposed geometric wave framework in which persistent physical structure emerges from confined oscillatory fields.
wave transport
→ finite-band mode selection
→ resonant confinement
→ phase and curvature locking
→ localized persistent structure
The central question is whether quantities usually treated as primitive—such as mass, force, spectra, and effective geometry—can instead arise from sustained resonance, curvature feedback, topology, and entropy-regulated coherence.
WCT is an evolving independent research framework, not an established physical theory. The public corpus separates definitions, derivations, simulations, experiments, phenomenology, and speculative extensions so each claim can be evaluated on its own terms.
The main entry point is the Geometry of Resonance / Wave Confinement Theory Research Hub, which collects the papers, equations, simulations, experiments, reading maps, and open-data tests.
If you are new to the program, read in this order:
- The Geometry of Resonance — core overview of WCT and its proposed emergence of mass, force, and effective spacetime geometry.
- Phase–Flux Field — observable substrate, conservation laws, finite-wavenumber selection, and shell formation.
- Rest Energy from Density-Weighted Loop Curvature — the cleanest statement of the curvature-locking mass proposal.
- Hard Upper Bound on Spatial Dimensionality — the mathematical argument for stable confinement being restricted to at most three spatial dimensions.
Choose a path by your background:
| If you are a… | Start with |
|---|---|
| Physicist / mathematician | Phase–Flux Field → Rest Energy from Loop Curvature → Koide Mass Relation → Lepton Mass Spectrum |
| Computer scientist / complexity | Discrete Wave-Constrained Computation → P vs NP in Curvature-Bounded Computation → Resonance-Confinement Architecture for Safe AI |
| Experimentalist | Photon Resonance Confinement in Water Cavities → Photodiode Protocol Ledger → photodiode repo |
| Open-data / phenomenology | NIST Atomic Line List → LHCb B⁰→K*⁰μ⁺μ⁻ spectra → Log-Periodic Deformation of C9(q²) |
| Branch | Entry point |
|---|---|
| Core WCT theory | geometry_of_resonance |
| Photodiode experiment and signal analysis | photodiode |
| Atomic spectra / Fe II log-cosine scan | NIST |
| LHCb open-data spectral analysis | LHC |
| WaveLock and CurvaChain research | Wavelock |
The NIST project uses public NIST Atomic Spectra Database exports and reports a bin-stable Fe II log-cosine line-density mode across 120, 160, and 200 bins. NIST is the data provider only; no NIST endorsement, certification, or validation is claimed.
WaveLock and CurvaChain are experimental research prototypes. They are not production cryptography and are presented with explicit security limitations and unresolved proof obligations.
- Industrial automation, PLC control logic, instrumentation, sequencing, alarming, HMIs, commissioning, and troubleshooting
- Industrial refrigeration and process-control systems
- Scientific computing, numerical simulation, signal analysis, and reproducible data workflows
- Python, R, C/C++, JavaScript, React, Docker, and Git
Twenty-two open-access publications (2025–2026), each with a permanent Zenodo DOI. Author: Richard J. Reyes (ORCID 0009-0005-5975-8718). A machine-readable index of every entry below is provided in CITATION.cff.
Browse the complete searchable and filterable publication archive.
Open the complete categorized publication list
- The Geometry of Resonance: Wave Confinement Theory and the Emergence of Mass, Force, and Spacetime — Apr. 22, 2025. DOI:
10.5281/zenodo.15644222 - Structure and Derivation of Physical Constants through Wave Confinement — Apr. 26, 2025. DOI:
10.5281/zenodo.15596159 - Phase-Flux Field (PFF): Axiomatic Substrate for Wave Confinement Theory — Sep. 8, 2025. DOI:
10.5281/zenodo.17578766
- Hard Upper Bound on Spatial Dimensionality in Wave Confinement Theory — Aug. 13, 2025. DOI:
10.5281/zenodo.17081283 - Self-Emergent Fourier Cymatics: Entropic Eigenmodes out of Chaos — Sep. 16, 2025. DOI:
10.5281/zenodo.17732648 - Emergence of Effective Mass: Solenoidal Topology of Vibrational Energy — Oct. 27, 2025. DOI:
10.5281/zenodo.17459463 - Rest Energy from Density-Weighted Loop Curvature: A Covariant Locking Principle — Nov. 11, 2025. DOI:
10.5281/zenodo.20533537 - Wave Confinement Theory Predicts the Koide Mass Relation — Dec. 10, 2025. DOI:
10.5281/zenodo.17887562 - Logarithmic Curvature Flow, Filament Localization, and the Geometric Origin of the Lepton Mass Spectrum — Mar. 10, 2026. DOI:
10.5281/zenodo.18936949
- P vs NP in Curvature-Bounded Wave Computation — May 7, 2025. DOI:
10.5281/zenodo.17743607 - Resonance-Confinement Architecture: A Physically Bounded Substrate for Safe Superintelligence — Jun. 11, 2025. DOI:
10.5281/zenodo.17732661 - Discrete Wave-Constrained Computation and Classical Complexity — Nov. 26, 2025. DOI:
10.5281/zenodo.17732642 - The Classical P vs NP Problem Is Mathematically and Physically Ill-Posed — Dec. 1, 2025. DOI:
10.5281/zenodo.17783074 - Recursive AI Drift: A 2025 Prediction Timeline External Validation Audit and Technical Note — May 2026. DOI:
10.5281/zenodo.20142976 - WaveLock: A Curvature-Locked One-Way Function Based on Nonlinear PDE Evolution — Dec. 1, 2025. DOI:
10.5281/zenodo.19122146
- Observation of Long-Lived Photon Resonance Confinement in Water Cavities — May 17, 2025. DOI:
10.5281/zenodo.17206381 - JUNO Energy Resolution and Detectability of WCT Ghost-Mode Neutrinos — Nov. 20, 2025. DOI:
10.5281/zenodo.17715872 - Prediction & Protocol Ledger: Long-Lived Harmonic State Induction in Photodiodes — Dec. 2025. DOI:
10.5281/zenodo.17957713 - Nuclear Fusion Tokamak with Self Sustaining Resonance — Apr. 14, 2026. DOI:
10.5281/zenodo.19578185
- A Curvature-Induced Log-Periodic Deformation of C9(q²) — Apr. 23, 2026. DOI:
10.5281/zenodo.19705254 - Log-Spectral Structure and Koide-Like Winding Geometry in Open-Data B⁰ → K*⁰ μ⁺μ⁻ Candidate Spectra — May 9, 2026. DOI:
10.5281/zenodo.20164333 - Bin-Stable Log-Periodic Structure in Public NIST Atomic Line List — May 28, 2026. DOI:
10.5281/zenodo.20435463
Please cite the specific publication you used by its Zenodo DOI. A complete machine-readable index of this profile and every publication is maintained in CITATION.cff, which GitHub uses to provide repository citation information.
@misc{reyes_geometry_of_resonance_2025,
author = {Reyes, Richard J.},
title = {The Geometry of Resonance: Wave Confinement Theory and the
Emergence of Mass, Force, and Spacetime},
year = {2025},
publisher = {Zenodo},
doi = {10.5281/zenodo.15644222},
url = {https://doi.org/10.5281/zenodo.15644222}
}Technical criticism, mathematical audit, reproducibility review, and independent replication are welcome; open an issue in the relevant repository or contact me directly.
- Education: B.S. Computer Science, San José State University
- Profession: Controls Engineer, industrial refrigeration and process automation
- Research: Independent mathematical physics and scientific computation
- Website: rickyjreyes.github.io
- LinkedIn: linkedin.com/in/rickyjreyes
- ORCID: 0009-0005-5975-8718
- Email: reyes.ricky30@gmail.com
For new readers, begin with the research website for accessible summaries, then continue to the geometry_of_resonance repository for the technical archive.




