Structure and Derivation of Physical Constants through Wave Confinement

Structure and Derivation of Physical Constants throught Wave Confinement

Richard J. Reyes — April 26, 2025

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 standing oscillatory fields under geometric and informational constraints, the observed numerical values of fundamental constants—traditionally treated as external parameters—are systematically derived. Each constant arises as a necessary consequence of resonance geometry, rather than an arbitrary feature of nature.

In addition to recovering known constants, Wave Confinement Theory (WCT) predicts a new family of structural constants:

• Topological Resonance Constant (β) - encoding angular confinement effects,

• Vacuum Fluctuation Scale (ξ) - setting the coherence length of vacuum structure,

• Entropy Curvature Ratio (σ) - balancing curvature confinement and entropy smoothing,

• Phase-Coherence Distortion Scale (γ) - regulating phase stability across cosmic distances,

• Nonlinear Curvature Feedback Coefficient (θ) - stabilizing extreme spacetime curvatures.

Preliminary numerical estimates are provided for these constants, linking them to observable quantum and cosmological scales. These predictions suggest new potential experimental signatures across quantum optics, gravitational wave astronomy, particle physics, and cosmology.

This work builds upon the foundational Wave Confinement Theory developed in:
The Geometry of Resonance: Wave Confinement Theory and the Emergence of Mass, Force, and Spacetime (Richard J. Reyes — Zenodo, 2025, DOI: 10.5281/zenodo.15286791).

In that framework, mass, gravity, force, and spacetime geometry were proposed as emergent phenomena arising from the confinement of oscillatory energy fields. A covariant Lagrangian was developed, incorporating curvature-driven and entropy-stabilizing terms, leading to numerical simulations and experimental predictions.

At its core, Wave Confinement Theory suggests that geometry itself emerges from vibrational coherence shaped by informational boundaries.

From this perspective, physical reality may be understood as a layered computation of confined wave interference, where:

• Mass emerges from energy,

• Energy emerges from resonance,

• Resonance emerges from boundary,

• Boundary emerges from information.

Conceptual Summary

• Fundamental constants arise from nonlinear wave distortion and curvature feedback.

• Confinement-induced curvature generates emergent force and spacetime geometry.

• Entropy-stabilized oscillations produce coherent physical structures.

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

---

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

ORCID iD: 0009-0005-5975-8718.