Part II - Multi-Standing-Wave Ensemble and Phase-Sealing Dynamics

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Authors: Seongho Song
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Abstract

Based on the sequential transition structure of the cubic ε–μ orthogonal lattice established in Part I, this study describes the process by which incoming soliton energy stabilizes into particles not as a "single standing wave," but as a "multi-standing-wave ensemble." The orthogonal structure of face channels (ε: diffusion/storage) and column channels (μ: focusing/reciprocation/rotation) presented in Part I forces a sequential transition of energy transfer (Face → Column → Face). As the saturation level η approaches 1 due to repeated impacts, the effective lattice impedance increases sharply, forming a phase barrier that prevents energy leakage. In this state, nonlinear phase twisting occurs within the lattice, and the geometric mismatch between the cubic lattice and the rotational phase structure structurally separates the "inscribed sphere volume component" from the "mismatch leakage component." The mismatch leakage component is emitted through the structurally permitted linear channels at the boundaries of the cube—namely, the column (edge) axes—which is interpreted as a geometric candidate for neutral emission channels (neutrino-like channels). The remaining energy settles into localized cubic cells at nodes matching the 12-column axial symmetry of the cube, forming a multi-standing-wave ensemble. The vector sum of the impulses exerted by each mode on the lattice boundary induces high-speed micro-motions observable as Zitterbewegung, which is directly linked to the magnetic moment and the g ≈ 2 structure. Finally, the relative separation of the ε-radius and μ-radius (including radius inversion) geometrically defines ± charge signs. From this definition of charge, the inverse-square "New Coulomb Law" is reconstructed as a force law based on boundary conditions. This model provides the direct foundation for deriving particle masses and spectra in Part III.

Fields of Study & Subjects

Advanced Mathematical Theories and Applications Quantum and Classical Electrodynamics Relativity and Gravitational Theory

Publication details

Journal / source
OSF Preprints (OSF Preprints)
Publication date
1 January 2026
Document type
Preprint