Space Phase-Locking Theory (SPLT) Part II: Geometric Reduction of Particle Mass Spectra and QED Scattering Cross-Section via Projective Continuum Mechanics
- 1Independent Researcher
Abstract
This paper is Part II of the four-part Space Phase-Locking Theory (SPLT) series. Based on the single tensor projection mechanics established in Part I, this study fundamentally reconstructs the Standard Model of modern particle physics from the perspective of continuum geometry. Failing to elucidate the origins of elementary particle masses, mixing angles, and scattering amplitudes, the current Standard Model remains a phenomenological approach reliant on experimental measurements and perturbations of virtual particles. Conversely, within the SPLT framework, particles are not independent probabilistic entities floating in 3-dimensional space, but the dynamical products of topological anchors and dimensional avalanches generated when the tension of the 6-dimensional base manifold is rendered into the 3-dimensional phenomenon space medium. Excluding unknown mediating particles or arbitrary interference terms, this study algebraically deduces major physical phenomena solely through the structural limits of the projection medium and topological friction: First, without relying on the perturbative exchange of virtual electromagnetic waves, the electron-positron scattering cross-section of quantum electrodynamics (QED) is geometrically reduced using only the universal gauge interface standard and the volume basis constant. Second, independently of Higgs coupling constants, the absolute masses of the 6 quarks and 3 generations of leptons are deduced by combining projection degrees of freedom and the standing-wave depth of the macroscopic vacuum. Furthermore, the essence of CP symmetry violation is inversely calculated as a projection friction spectrum arising from the dimensional demotion of tensors. Third, the W boson mass anomaly observed at Fermilab (CDF II) is elucidated as the topological compensating tension of the projection medium acting to prevent rendering collapse upon tensor knot rupture. In addition, the radioactive decay clocks of subatomic particles are unified as geometric rupture resonance probabilities of the projection medium, and going beyond the conventional nuclear shell model, the magic numbers of atomic nuclei are redefined as tensor saturation thresholds of 6-dimensional polytope projection. In conclusion, the elementary particle spectrum deduction of this study serves as the algebraic foundation for the 'mass-lifetime duality of hadrons' to be addressed in detail in the subsequent Part II.5. This proves that the two vastly different physical quantities of particle mass manifestation and decay time are not separate quantum field fluctuations, but deterministic phenomena simultaneously deduced from a single tensor phase-locking and rupture structure experienced by the 3-dimensional projection continuum.
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BibTeX
@misc{jung2026space,
title = {{Space Phase-Locking Theory (SPLT) Part II: Geometric Reduction of Particle Mass Spectra and QED Scattering Cross-Section via Projective Continuum Mechanics}},
author = {Kiman Jung},
howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23496580},
url = {https://doi.org/10.5281/zenodo.23496580},
note = {CC BY},
}
RIS
TY - UNPB
TI - Space Phase-Locking Theory (SPLT) Part II: Geometric Reduction of Particle Mass Spectra and QED Scattering Cross-Section via Projective Continuum Mechanics
AU - Kiman Jung
PY - 2026
DA - 2026/10/20
PB - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.23496580
UR - https://doi.org/10.5281/zenodo.23496580
AB - This paper is Part II of the four-part Space Phase-Locking Theory (SPLT) series. Based on the single tensor projection mechanics established in Part I, this study fundamentally reconstructs the Standard Model of modern particle physics from the perspective of continuum geometry. Failing to elucidate the origins of elementary particle masses, mixing angles, and scattering amplitudes, the current Standard Model remains a phenomenological approach reliant on experimental measurements and perturbations of virtual particles. Conversely, within the SPLT framework, particles are not independent probabilistic entities floating in 3-dimensional space, but the dynamical products of topological anchors and dimensional avalanches generated when the tension of the 6-dimensional base manifold is rendered into the 3-dimensional phenomenon space medium. Excluding unknown mediating particles or arbitrary interference terms, this study algebraically deduces major physical phenomena solely through the structural limits of the projection medium and topological friction: First, without relying on the perturbative exchange of virtual electromagnetic waves, the electron-positron scattering cross-section of quantum electrodynamics (QED) is geometrically reduced using only the universal gauge interface standard and the volume basis constant. Second, independently of Higgs coupling constants, the absolute masses of the 6 quarks and 3 generations of leptons are deduced by combining projection degrees of freedom and the standing-wave depth of the macroscopic vacuum. Furthermore, the essence of CP symmetry violation is inversely calculated as a projection friction spectrum arising from the dimensional demotion of tensors. Third, the W boson mass anomaly observed at Fermilab (CDF II) is elucidated as the topological compensating tension of the projection medium acting to prevent rendering collapse upon tensor knot rupture. In addition, the radioactive decay clocks of subatomic particles are unified as geometric rupture resonance probabilities of the projection medium, and going beyond the conventional nuclear shell model, the magic numbers of atomic nuclei are redefined as tensor saturation thresholds of 6-dimensional polytope projection. In conclusion, the elementary particle spectrum deduction of this study serves as the algebraic foundation for the 'mass-lifetime duality of hadrons' to be addressed in detail in the subsequent Part II.5. This proves that the two vastly different physical quantities of particle mass manifestation and decay time are not separate quantum field fluctuations, but deterministic phenomena simultaneously deduced from a single tensor phase-locking and rupture structure experienced by the 3-dimensional projection continuum.
ER -