SVR Algebra of Reality

This article presents the algebraic foundation of the Static Vibrational Reality (SVR) framework. The core hypothesis is that coherence — rather than geometry or matter — is the fundamental organizing principle of physical reality. In SVR, integers are not treated as primitive abstract objects, but as projections of discrete segmentation levels in a coherence field. From this viewpoint, the familiar hierarchy of arithmetic emerges as a secondary structure: number, time, and space appear as large-scale manifestations of a deeper segmentation process governing phase alignment and amplitude stability. The work identifies a universal scaling relation connecting coherence, duration and frequency, and shows that this scaling is not an empirical coincidence but follows directly from the algebraic structure of segmentation. This leads to three experimentally testable consequences: a universal decay exponent, a coherence–recoupling law linking recovery time to frequency, and a maximal admissible segmentation level for every finite-energy system. The SVR algebra therefore provides a physically grounded alternative to the classical view of numbers as purely abstract entities. It suggests that arithmetic structure is not arbitrary but is generated by the physical dynamics of coherence. If confirmed experimentally, this would imply that mathematics and physics are not separate domains, but two reflections of the same underlying process. The aim of this work is not to assert finality, but to offer a coherent algebraic hypothesis that invites verification, refinement, and falsification. Its value lies in showing that algebra can serve not only to describe reality, but to generate it.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-14
DOI
https://doi.org/10.5281/zenodo.17665958
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

SVR Algebra of Reality

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
article

SVR Algebra of Reality

article en

Abstract

This article presents the algebraic foundation of the Static Vibrational Reality (SVR) framework. The core hypothesis is that coherence — rather than geometry or matter — is the fundamental organizing principle of physical reality. In SVR, integers are not treated as primitive abstract objects, but as projections of discrete segmentation levels in a coherence field. From this viewpoint, the familiar hierarchy of arithmetic emerges as a secondary structure: number, time, and space appear as large-scale manifestations of a deeper segmentation process governing phase alignment and amplitude stability. The work identifies a universal scaling relation connecting coherence, duration and frequency, and shows that this scaling is not an empirical coincidence but follows directly from the algebraic structure of segmentation. This leads to three experimentally testable consequences: a universal decay exponent, a coherence–recoupling law linking recovery time to frequency, and a maximal admissible segmentation level for every finite-energy system. The SVR algebra therefore provides a physically grounded alternative to the classical view of numbers as purely abstract entities. It suggests that arithmetic structure is not arbitrary but is generated by the physical dynamics of coherence. If confirmed experimentally, this would imply that mathematics and physics are not separate domains, but two reflections of the same underlying process. The aim of this work is not to assert finality, but to offer a coherent algebraic hypothesis that invites verification, refinement, and falsification. Its value lies in showing that algebra can serve not only to describe reality, but to generate it.

Zenodo (CERN European Organization for Nuclear Research)
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Quantum Mechanics and Applications
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