Wavelet Theory of Quantum Phenomena: A Classical Field-Based Alternative to Standard Quantum Mechanics

Wavelet Theory of Quantum Phenomena proposes a classical, deterministic framework to explain quantum behavior without invoking nonlocality or inherent randomness. Using scalar electromagnetic wavelets structured as toroidal solitons in a 6D manifold (R3×S3 \mathbb{R}^3 \times S^3 R3×S3), this theory reproduces quantum correlations, such as Bell-type inequalities (E(θA,θB)=−cos⁡(2(θA−θB)) E(\theta_A, \theta_B) = -\cos(2(\theta_A - \theta_B)) E(θA,θB)=−cos(2(θA−θB)), S=22 S = 2\sqrt{2} S=22), through nonlinear threshold effects at detectors. The model derives a Lagrangian formulation and solitonic solutions, offering a local realist alternative to standard quantum mechanics. Key predictions include smooth angular correlation variations and non-Gaussian photon count tails, testable via optical Bell experiments with threshold-sensitive detectors. This work, developed by an independent researcher with a background in audio engineering, invites feedback and experimental validation to refine and test its implications for quantum foundations. Please cite this work using the provided DOI and contact the author for collaboration or discussion.