Space Phase-Locking Theory (SPLT) Part IV: Space Phase-Locking Theory (SPLT) Part IV: Algebraic Approach to Standard Model Anomalies and a Parameter-Free Framework
- 1Independent Researcher
Abstract
As the concluding installment of the four-part Space Phase-Locking Theory (SPLT) series, this paper systematically establishes a unified geometric-dynamical framework by interpreting quantum mechanical non-locality, the origin of dynamical inertia, and precision observational anomalies—which remain unresolved in the Standard Model and general relativity—through the projection continuum mechanics of a 6-dimensional base medium. This study redefines particles not as independent probabilistic entities, but as topological defects arising during the projection process. First, the electron is elucidated as a 1-axis semi-projected gauge-locked tensor in which the neutrino-like core and the 10-degree-of-freedom gravitational metric tensor are submerged within the 6-dimensional base manifold, while only the counter-acting 4-unit closure boundary is exposed and phase-locked onto the 3-dimensional projection space. Through this structure, the point-like nature of the electron, its exclusion from the strong interaction, wave-particle duality, and quantum entanglement are deconstructed into projection phase transitions and phase synchrony of a single tensor, while Maxwell's equations and the Lorentz force are algebraically reduced to integrity maintenance conditions of the projection continuum and topological stress buoyancy mechanisms. Second, inertial mass is defined as the projection rendering delay rate (I_d) of the base medium, and the Lorentz factor (gamma) along with Einstein's energy-momentum relation (E^2 = (pc)^2 + (m_0 c^2)^2) are derived purely algebraically via the orthogonal allocation law of limited rendering resources of the base medium. Furthermore, by combining the phase renewal delay rate (Gamma_delay) of the medium induced by mass anchors with the elastic degradation of the 4-unit boundary, we elucidate that the speed of light is inversely proportional to the square of the renewal delay rate (c_local = c_0 / Gamma_delay^2) and derive the core results of general relativity. Moreover, by identifying the essence of the strong force through the micro-scale gravitational saturation mechanism, the four fundamental interactions are consistently encompassed as tensor deformation modes of the base medium, resolving the hierarchy problem. Third, without introducing arbitrary unknown particles, the proton radius puzzle and the muon anomalous magnetic moment (g-2) discrepancy are deterministically resolved through the projection resolution limit (1/n^2) and non-linear tensor drag dissipation (Omega_sd). The tensor mechanics are cross-validated across 60 orders of magnitude via energy-volume linearity and the trinity of geometric projection ratios (1/9, 2/3, 3/8), offering empirical predictions of a non-linear hard cut-off testable at next-generation laser facilities (ELI). Fourth, black hole singularities and the information paradox are resolved via projection capacity saturation and dynamical tensor relaxation, while the end of the universe is predicted as a global reverse phase transition triggered when information renewal in the base manifold exceeds the reversible limit. In conclusion, this four-part series demonstrates that all physical phenomena in the universe are the deterministic consequence of a single geometric causality derived from the projection of 6-dimensional topological energy into the 3-dimensional phenomenon space, completing a parameter-free projection mechanics framework.
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BibTeX
@misc{jung2026space,
title = {{Space Phase-Locking Theory (SPLT) Part IV: Space Phase-Locking Theory (SPLT) Part IV: Algebraic Approach to Standard Model Anomalies and a Parameter-Free Framework}},
author = {Kiman Jung},
howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23498089},
url = {https://doi.org/10.5281/zenodo.23498089},
note = {CC BY},
}
RIS
TY - UNPB
TI - Space Phase-Locking Theory (SPLT) Part IV: Space Phase-Locking Theory (SPLT) Part IV: Algebraic Approach to Standard Model Anomalies and a Parameter-Free Framework
AU - Kiman Jung
PY - 2026
DA - 2026/10/20
PB - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.23498089
UR - https://doi.org/10.5281/zenodo.23498089
AB - As the concluding installment of the four-part Space Phase-Locking Theory (SPLT) series, this paper systematically establishes a unified geometric-dynamical framework by interpreting quantum mechanical non-locality, the origin of dynamical inertia, and precision observational anomalies—which remain unresolved in the Standard Model and general relativity—through the projection continuum mechanics of a 6-dimensional base medium. This study redefines particles not as independent probabilistic entities, but as topological defects arising during the projection process. First, the electron is elucidated as a 1-axis semi-projected gauge-locked tensor in which the neutrino-like core and the 10-degree-of-freedom gravitational metric tensor are submerged within the 6-dimensional base manifold, while only the counter-acting 4-unit closure boundary is exposed and phase-locked onto the 3-dimensional projection space. Through this structure, the point-like nature of the electron, its exclusion from the strong interaction, wave-particle duality, and quantum entanglement are deconstructed into projection phase transitions and phase synchrony of a single tensor, while Maxwell's equations and the Lorentz force are algebraically reduced to integrity maintenance conditions of the projection continuum and topological stress buoyancy mechanisms. Second, inertial mass is defined as the projection rendering delay rate (I_d) of the base medium, and the Lorentz factor (gamma) along with Einstein's energy-momentum relation (E^2 = (pc)^2 + (m_0 c^2)^2) are derived purely algebraically via the orthogonal allocation law of limited rendering resources of the base medium. Furthermore, by combining the phase renewal delay rate (Gamma_delay) of the medium induced by mass anchors with the elastic degradation of the 4-unit boundary, we elucidate that the speed of light is inversely proportional to the square of the renewal delay rate (c_local = c_0 / Gamma_delay^2) and derive the core results of general relativity. Moreover, by identifying the essence of the strong force through the micro-scale gravitational saturation mechanism, the four fundamental interactions are consistently encompassed as tensor deformation modes of the base medium, resolving the hierarchy problem. Third, without introducing arbitrary unknown particles, the proton radius puzzle and the muon anomalous magnetic moment (g-2) discrepancy are deterministically resolved through the projection resolution limit (1/n^2) and non-linear tensor drag dissipation (Omega_sd). The tensor mechanics are cross-validated across 60 orders of magnitude via energy-volume linearity and the trinity of geometric projection ratios (1/9, 2/3, 3/8), offering empirical predictions of a non-linear hard cut-off testable at next-generation laser facilities (ELI). Fourth, black hole singularities and the information paradox are resolved via projection capacity saturation and dynamical tensor relaxation, while the end of the universe is predicted as a global reverse phase transition triggered when information renewal in the base manifold exceeds the reversible limit. In conclusion, this four-part series demonstrates that all physical phenomena in the universe are the deterministic consequence of a single geometric causality derived from the projection of 6-dimensional topological energy into the 3-dimensional phenomenon space, completing a parameter-free projection mechanics framework.
ER -