Published April 26, 2025 | Version v34
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Structure and Derivation of Physical Constants through Wave Confinement

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Structure and Derivation of Physical Constants through Wave Confinement

Richard J. Reyes - April 26, 2025

GitHub Repository: github.com/rickyjreyes/geometry_of_resonance

This work demonstrates that the gravitational constant (G), the speed of light (c), Planck’s constant (ℏ), the fine-structure constant (α), the cosmological constant (Λ), and the Planck scales (ℓₚ, tₚ, Eₚ) emerge naturally from the internal dynamics of confined oscillatory fields under curvature feedback mechanisms.

By modeling curvature-regulated standing waves under geometric and informational constraints, Wave Confinement Theory (WCT) derives the observed values of fundamental constants as necessary outcomes of resonance geometry. These constants are not inserted, they arise from first principles.

Beyond known constants, WCT introduces a new family of structural constants:

  • Vacuum coherence length: ⟨ξ⟩ = 85.4 μm (reverse-derived from observed Λ via curvature feedback)

  • Entropy–curvature ratio: σ = 0.0806 R

  • Phase distortion scale: γ = 10⁻¹²⁰ R

  • Topological resonance constant: β ≈ 0.01–0.1 R

  • Nonlinear curvature feedback coefficient: θ = 10⁻¹²⁰ R

Notation: Quantities marked with R are dimensionless resonance units, derived from coherence-locked wave structures in confined domains. They characterize normalized structural constants such as entropy–curvature ratio, resonance efficiency, and phase suppression scale.

These constants are extracted via numerical simulations of confined wavefields with fourth-order curvature feedback, demonstrating:

  • Monotonic entropy growth (dS/dt>0dS/dt > 0dS/dt>0)

  • Curvature energy dissipation

  • Emergence of resonance-stabilized geometry from information-driven constraints

This positions WCT as a candidate unified field framework where mass, energy, geometry, and entropy all emerge from confined wave coherence. Bayesian evaluation of internal consistency, dimensional coherence, and numerical results supports a strong prior plausibility of physical validity, pending experimental confirmation.

WCT builds upon the theoretical foundation established in:
The Geometry of Resonance: Wave Confinement Theory and the Emergence of Mass, Force, and Spacetime (Reyes, Zenodo 2025, DOI: 10.5281/zenodo.15286791).

At its core, WCT proposes:
Mass arises from energy. Energy from resonance. Resonance from boundary. Boundary from information.

Keywords

Wave confinement, fundamental constants, gravitational constant, speed of light, Planck constant, fine-structure constant, cosmological constant, emergent mass, curvature feedback, unified field theory, entropy-stabilized fields, effective metric, informational geometry

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For correspondence regarding this work, please contact [Richard J. Reyes] at [reyes.ricky30@gmail.com].

ORCID iD: 0009-0005-5975-8718.

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Structure and Derivation of Physical Constants through Wave Confinement.pdf

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Additional details

Related works

Cites
Preprint: 10.5281/zenodo.15416238 (DOI)
Preprint: 10.5281/zenodo.15466130 (DOI)

Dates

Submitted
2025-04-26
Pre-Print Submission

Software

Repository URL
https://github.com/rickyjreyes/geometry_of_resonance
Programming language
Python

References

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