Authors: James Fruit
The Wave Oscillation-Recursion Framework (WORF) provides a novel, first-principles approach to unifying mass, gravity, and gauge interactions through recursion-based resonance constraints. Unlike the Standard Model (SM), which relies on distinct force-carrier particles, WORF replaces fundamental interactions with phase-matched resonance eigenmodes derived from a recursive Laplacian operator. This formulation eliminates the need for gauge boson exchange, deriving interaction symmetries, gravitational effects, and mass-energy transitions as natural consequences of recursion eigenvalue constraints. WORF introduces several key concepts: Mass as a bound standing wave, governed by a Recursive Frequency Threshold (ReFT), which determines transitions between confined and unconfined states. Gauge interactions as emergent recursion symmetries, deriving SU(3) ⊗ SU(2) ⊗ U(1) directly from eigenvalue constraints while maintaining gauge anomaly cancellation. Gravity as a Resonance Accumulation of Inertial Coupling (RAIC) effect, replacing metric curvature with a phase-matched resonance process that preserves geodesic motion and energy-momentum influence. Black hole thermodynamics as a wave-boundary condition, deriving event horizons as resonance accumulation limits and dynamically recovering the Bekenstein-Hawking entropy. Running couplings as a Resonant Effective Scaling Operator (RESO) process, modifying quantum field theory (QFT) renormalization to incorporate recursive eigenstates. Fermion mass hierarchy as a Recursive Oscillation Mass Emergence (ROME) process, eliminating arbitrary Yukawa couplings in favor of eigenstate selection. Neutrino mass and oscillations as a Phase-Locked Oscillatory Neutrino Constraint (PLONC), resolving the origin of neutrino mass without requiring right-handed sterile states while introducing a phase shift testable in upcoming experiments. WORF is formulated as a mathematically rigorous and empirically testable model, predicting measurable deviations in gravitational wave propagation, electromagnetic nonlinearities, hadronic mass corrections, weak decay anomalies, fermion mass ratios, and neutrino oscillation phase shifts. These effects provide multiple avenues for experimental falsification via upcoming high-energy physics and astrophysical observations.
Comments: 27 Pages. Licensed under CC BY-NC 4.0.
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