What does this research mean for the field?

Spacetime and particle interactions can be modeled geometrically using a fundamental 'p-gluon' element, wherein protons, antiprotons, and their mirror counterparts are manifestations of a common geometric structure. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

What question did this study set out to answer?

To propose a geometric framework for understanding spacetime through the concept of p-gluon, detailing reactions involving matter and antimatter.

June 27, 2026Open Access

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A Tale of Deep Symmetry in the World – Version 3.0

OAOkupski Arkadiusz

Key Points

To propose a geometric framework for understanding spacetime through the concept of p-gluon, detailing reactions involving matter and antimatter.
Introduced three independent degrees of freedom: background orientation, deformation type, and coil orientation.
Proposed a complete scheme of four elementary reactions involving protons and antiprotons.
Established an internally coherent model without additional assumptions.
The model suggests protons and antiprotons as manifestations of a common geometric structure.
Presented four reactions: intra-world annihilation and inter-world quasi-annihilation.
Validated as a coherent alternative to traditional descriptions without artificial assumptions.

Abstract

This work presents a geometric model of spacetime based on a fundamental element called the p-gluon (pG). The model introduces three independent degrees of freedom: background orientation (ECV+/ECV-), deformation type (SPR1/SPR2), and coil orientation (L/R). Within this framework, protons, antiprotons, and their mirror counterparts are different manifestations of a common geometric structure. A complete scheme of four elementary reactions is presented: intra-world annihilation (P(+) + aP(-) and P(-) + aP(+)) and inter-world quasi-annihilation (P(+) + P(-) and aP(-) + aP(+)). The model is internally coherent, does not require the introduction of additional artificial assumptions, and constitutes a geometric alternative to the traditional description of matter and antimatter. Note: Work on the model is ongoing. Version 4.0 will be released soon, containing refined details and possible supplements resulting from further analysis of the model. Follow my work and related discussions on Facebook: Facebook

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A Tale of Deep Symmetry in the World – Version 3.0

Key Points

Abstract

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