Quantum Gravity and String Theory

    

Matter and Gravity as Phase Structures on a 4D Hypersphere (SU(2) Model)

Authors: Dmitry Shurbin

This paper present a unified model of matter and gravity based on SU(2) phase geometry defined over a compact 3-sphere (S³) embedded in four-dimensional Euclidean space. In this framework, particles arise as topological SU(2) vortices, while forces—including electromagnetism and gravity—emerge from local and global phase dynamics without requiring separate gauge fields. Quantum properties such as spin, discreteness, entanglement, and the exclusion principle are derived from the topological constraints of the SU(2) phase structure. Gravitational attraction is reinterpreted as the tendency of phase vortices to minimize curvature and tension. The model avoids singularities, naturally predicts Planck-scale behavior, and provides geometric interpretations for constants like ℏ and c. This approach offers a non-perturbative, background-independent alternative to quantum gravity and string theory.

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[v1] 2025-07-08 22:04:55

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