Preprint · Release 01

The Geometry of Resonance: Wave Confinement Theory and the Emergence of Mass, Force, and Spacetime

Richard J. Reyes

Independent Researcher · April 22, 2025 · 10.5281/zenodo.15644222

CategoryPrimary WCT foundation Research statusFoundational proposal

Abstract

Wave Confinement Theory proposes that mass, force, and effective spacetime geometry emerge from confined oscillatory fields. The preprint develops a curvature-feedback field framework in which nonlinear wave dynamics, entropy regulation, phase organization, and resonance stabilize localized structure.

Plain-language overview

Research question

Can mass, force, and effective spacetime geometry be described as emergent consequences of confined oscillatory fields rather than as fundamental inputs?

Main contribution

  • Introduces Wave Confinement Theory as a geometric wave framework.
  • Develops a curvature-feedback field model in which nonlinear wave dynamics, entropy regulation, phase organization, and resonance stabilize localized structure.
  • Proposes mechanisms for the emergence of mass, force, and effective spacetime geometry.

Evidence type

Analytical derivationConceptual architecture

Current limitations

This is the foundational proposal of an evolving independent framework, not established physics. Its mechanisms and derivations require independent mathematical and empirical validation.

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
NOT_TESTED_AS_A_UNIFIED_THEORY
Independent replication
NONE_RECORDED
Repositories

Explicit falsifiers

  • A preregistered model-specific prediction derived from the declared equations fails under adequate experimental controls.

Open obligations

  • Complete action-to-field-equation derivations, PDE well-posedness and stability analysis, calibrated predictions, and independent empirical tests.

Recommended citation

Reyes, R. J. (April 22, 2025). The Geometry of Resonance: Wave Confinement Theory and the Emergence of Mass, Force, and Spacetime. Zenodo. https://doi.org/10.5281/zenodo.15644222

Machine-readable identifiers

DOI
10.5281/zenodo.15644222
Zenodo
https://zenodo.org/records/15644222
Local metadata
https://rickyjreyes.github.io/publications/geometry-of-resonance.html
Author
ORCID 0009-0005-5975-8718

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.