Unification of Gauge Dynamics and Gravitation through an Emergent Topological Master-Field Theory
Abstract
In this paper, an alternative to the standard Euclidean-norm Dirac-spinor space is explored as a stepping stone toward a insights into a general-relativistic quantum theory. A subset of the SU(2,2) spinor space is used -- a non-Euclidean normed-vector-space, known to be invariant under The Poincare group is shown to have a Hermitian solution to the Dirac equation and be naturally Lorentzian. This result motivates the expansion
of this theory to a geometric foundation, much like General Relativity. The
final proposed master field theory the ultimate expression of relativity, Universal Relativity, is defined not on deformed-curved space of General Relativity but through a field-dependent transformation U on spinor-space itself.
The geometric pullback through the ISO(3,1) group of the chosen topology projected onto bare 4D coordinates naturally gives rise to a locally Minkowski spacetime. Endogenous gauge-like fields emerge as bilinear derivatives on the master field under this formulation. The independent gauge bosons of current effective field theories and the forces mediated by their exchange are replaced by these emergent endogenous fields from the deformation of spinor space through the transformation U. Moreover, in this framework, General Relativity and the electroweak dynamics of QFT are shown to emerge naturally as lower-energy approximations, thereby providing a unification of the four fundamental interactions of the universe. The theory eliminates all but two independent free parameters, rendering it highly predictable and at the same time easily falsifiable. Simultaneously, this single geometric framework provides a unified resolution to long-standing cosmological and subatomic anomalies, including dark energy, the baryon asymmetry of the universe, and the cosmological dipole problem.
Related
- Classical Geometric Unification of Gravitation and Electrodynamics via Internal String Centripetal Dynamics: The Simple Grand Unified Theory
- Gravitation and Electromagnetism; Correlation and Grand Unification
- Global Realism: A Three-Axiom Mathematical Foundation for Finite Topological Matter, Physical Spacetime Vacuum, Causal Historical Dynamics, Quantum Representation, Gravitation, Statistical Reduction, and the Complete Theory
- UQGAF: a higher-categorical architecture for topological unification: From quantum geometric string networks to a worked winding-state dynamics
- Entanglement‑Strain Angle: Geometric Unification of Relativistic Kinematics, Gravitation, and Quantum Phase
BibTeX
@misc{rusnak2026unification,
title = {{Unification of Gauge Dynamics and Gravitation through an Emergent Topological Master-Field Theory}},
author = {John RUSNAK},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23508279},
url = {https://zenodo.org/records/23508279},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Unification of Gauge Dynamics and Gravitation through an Emergent Topological Master-Field Theory
AU - John RUSNAK
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23508279
UR - https://zenodo.org/records/23508279
AB - In this paper, an alternative to the standard Euclidean-norm Dirac-spinor space is explored as a stepping stone toward a insights into a general-relativistic quantum theory. A subset of the SU(2,2) spinor space is used -- a non-Euclidean normed-vector-space, known to be invariant under The Poincare group is shown to have a Hermitian solution to the Dirac equation and be naturally Lorentzian. This result motivates the expansion of this theory to a geometric foundation, much like General Relativity. The final proposed master field theory the ultimate expression of relativity, Universal Relativity, is defined not on deformed-curved space of General Relativity but through a field-dependent transformation U on spinor-space itself. The geometric pullback through the ISO(3,1) group of the chosen topology projected onto bare 4D coordinates naturally gives rise to a locally Minkowski spacetime. Endogenous gauge-like fields emerge as bilinear derivatives on the master field under this formulation. The independent gauge bosons of current effective field theories and the forces mediated by their exchange are replaced by these emergent endogenous fields from the deformation of spinor space through the transformation U. Moreover, in this framework, General Relativity and the electroweak dynamics of QFT are shown to emerge naturally as lower-energy approximations, thereby providing a unification of the four fundamental interactions of the universe. The theory eliminates all but two independent free parameters, rendering it highly predictable and at the same time easily falsifiable. Simultaneously, this single geometric framework provides a unified resolution to long-standing cosmological and subatomic anomalies, including dark energy, the baryon asymmetry of the universe, and the cosmological dipole problem.
ER -