A Tale of Deep Symmetry in the World – Version 4.0

This paper presents Version 4.0 of a geometric model in which spacetime is described as an organized structure built from elementary geometric quanta called p-gluons. Within this framework, particles are interpreted as local geometric deformations of the vacuum rather than as independent fundamental objects. The model introduces three independent binary degrees of freedom: vacuum polarization (ECV), deformation type (SPR1/SPR2), and Boundary K orientation (L/R). Their combinations generate the elementary particle configurations discussed in the paper. Two distinct geometric processes are proposed: annihilation, associated with the cancellation of opposite Boundary K orientations, and quasi-annihilation, associated with the cancellation of opposite geometric deformations. The model also introduces the highly symmetric intermediate state ECV(0), which may play an important role in transitions between the two vacuum polarizations. The paper is intended as a conceptual and geometric framework rather than a complete physical theory. It focuses on the internal consistency of the proposed construction and outlines a number of open questions concerning its mathematical formulation, quantum description, and possible experimental consequences. The model is proposed as a geometrically motivated hypothesis intended to stimulate discussion on the possible structure of spacetime below the level currently described by established physical theories. Follow my work and related discussions on Facebook: [Facebook]

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-28
DOI
https://doi.org/10.5281/zenodo.20997436
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

A Tale of Deep Symmetry in the World – Version 4.0

Okupski Arkadiusz
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

A Tale of Deep Symmetry in the World – Version 4.0

Okupski Arkadiusz
preprint en

Abstract

This paper presents Version 4.0 of a geometric model in which spacetime is described as an organized structure built from elementary geometric quanta called p-gluons. Within this framework, particles are interpreted as local geometric deformations of the vacuum rather than as independent fundamental objects. The model introduces three independent binary degrees of freedom: vacuum polarization (ECV), deformation type (SPR1/SPR2), and Boundary K orientation (L/R). Their combinations generate the elementary particle configurations discussed in the paper. Two distinct geometric processes are proposed: annihilation, associated with the cancellation of opposite Boundary K orientations, and quasi-annihilation, associated with the cancellation of opposite geometric deformations. The model also introduces the highly symmetric intermediate state ECV(0), which may play an important role in transitions between the two vacuum polarizations. The paper is intended as a conceptual and geometric framework rather than a complete physical theory. It focuses on the internal consistency of the proposed construction and outlines a number of open questions concerning its mathematical formulation, quantum description, and possible experimental consequences. The model is proposed as a geometrically motivated hypothesis intended to stimulate discussion on the possible structure of spacetime below the level currently described by established physical theories. Follow my work and related discussions on Facebook: [Facebook]

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Noncommutative and Quantum Gravity Theories
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