A Tale of Deep Symmetry in the World – Version 5.1

This work presents a heuristic geometric model of spacetime in which matter, antimatter, and configurations associated with the opposite vacuum polarization are interpreted as local deformations of a single ordered geometric structure. The model introduces the p-gluon (pG) as an elementary quantum of geometry, the Open Vacuum Configuration (RKP) as the ordered vacuum state, and the Compact Vacuum Configuration (ZKP) as a local deformation interpreted as a particle. The description further distinguishes the type of deformation RDS1/RDS2RDS1/RDS2, the orientation of the K Boundary L/RL/R, and the two vacuum polarizations RKP(+)RKP(+) and RKP(−)RKP(-). Version 5.1 introduces a revised and more internally consistent geometric dictionary for the four basic configurations corresponding to the proton, antiproton, and their counterparts associated with the opposite vacuum polarization. It also clarifies the distinction between physical energy and the oriented deformation measure DI\\mathcal{D}_I, and develops the concepts of annihilation, quasi-annihilation, and the boundary state RKP(0)RKP(0). The work is intentionally conceptual and heuristic. It does not yet constitute a complete physical theory or a mathematically closed formalism. Some interpretations and relations introduced in this version may still require refinement or correction as the model develops. Any such issues will be addressed in subsequent versions, beginning with Version 5.2. The purpose of the present version is therefore to document the current stage of development of the model and to provide a coherent geometric framework for further analysis. Follow my work and related discussions on Facebook: [Facebook]

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22881660
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

A Tale of Deep Symmetry in the World – Version 5.1

Okupski Arkadiusz
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

A Tale of Deep Symmetry in the World – Version 5.1

Okupski Arkadiusz
preprint en

Abstract

This work presents a heuristic geometric model of spacetime in which matter, antimatter, and configurations associated with the opposite vacuum polarization are interpreted as local deformations of a single ordered geometric structure. The model introduces the p-gluon (pG) as an elementary quantum of geometry, the Open Vacuum Configuration (RKP) as the ordered vacuum state, and the Compact Vacuum Configuration (ZKP) as a local deformation interpreted as a particle. The description further distinguishes the type of deformation RDS1/RDS2RDS1/RDS2, the orientation of the K Boundary L/RL/R, and the two vacuum polarizations RKP(+)RKP(+) and RKP(−)RKP(-). Version 5.1 introduces a revised and more internally consistent geometric dictionary for the four basic configurations corresponding to the proton, antiproton, and their counterparts associated with the opposite vacuum polarization. It also clarifies the distinction between physical energy and the oriented deformation measure DI\mathcal{D}_I, and develops the concepts of annihilation, quasi-annihilation, and the boundary state RKP(0)RKP(0). The work is intentionally conceptual and heuristic. It does not yet constitute a complete physical theory or a mathematically closed formalism. Some interpretations and relations introduced in this version may still require refinement or correction as the model develops. Any such issues will be addressed in subsequent versions, beginning with Version 5.2. The purpose of the present version is therefore to document the current stage of development of the model and to provide a coherent geometric framework for further analysis. Follow my work and related discussions on Facebook: [Facebook]

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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