Gravity and Relativity from SU(2) Phase Dynamics on a 4D Hypersphere

I present a unified geometric description of gravity and special relativity based on the SU(2) phase structure over a compact 4D hypersphere S3 [1,2]. Mass and gravitation are modeled as distortions of global SU(2) phase alignment. I derive Newtonian gravity, establish a natural origin for the constancy of the speed of light, and show how Lorentz symmetry emerges from hyperspherical constraints. This approach circumvents the need for spacetime curvature and offers a new route to gravitational phenomena.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-05
DOI
https://doi.org/10.5281/zenodo.15596632
Primary Topic
Biomedical and Chemical Research
Type
article
Field-Weighted Citation Impact
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article

Gravity and Relativity from SU(2) Phase Dynamics on a 4D Hypersphere

Zenodo (CERN European Organization for Nuclear Research)
Biomedical and Chemical Research
article

Gravity and Relativity from SU(2) Phase Dynamics on a 4D Hypersphere

article en

Abstract

I present a unified geometric description of gravity and special relativity based on the SU(2) phase structure over a compact 4D hypersphere S3 [1,2]. Mass and gravitation are modeled as distortions of global SU(2) phase alignment. I derive Newtonian gravity, establish a natural origin for the constancy of the speed of light, and show how Lorentz symmetry emerges from hyperspherical constraints. This approach circumvents the need for spacetime curvature and offers a new route to gravitational phenomena.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Openalex Percentile: Top 36%
Biomedical and Chemical Research
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Gravity and Relativity from SU(2) Phase Dynamics on a 4D Hypersphere · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS