Author:
Ship, Thomas
Category:
Research Papers
Sub-Category:
Mathematical Physics
Language:
English
Date Published:
February 17, 2026
Downloads:
115
Keywords:
Universal Quantum Equilibrium, Quantum Geometric Structure, Flux-Tension Dynamics, Equilibrium Regulation
Abstract:
ABSTRACT. This manuscript presents the Universal Quantum Equilibrium (UQE) framework, a covariant, operator‑driven extension of General Relativity that unifies quantum‑geometric curvature, flux–tension dynamics, and equilibrium‑regulated divergence exchange. The theory introduces three fundamental operators—Q[g, ψ], Φ[g, ψ, ∇ψ], and F_C[g, ψ]—which together define a multi‑sector stress structure capable of describing spacetime across all energy scales. The resulting UQE Master Equation preserves classical behaviour in the low‑energy limit while providing a regulated, non‑singular description of high‑energy gravitational phenomena. The manuscript develops the mathematical structure of the operators, derives the field equations from a variational principle, and demonstrates the framework’s physical relevance through analytical solutions, numerical schemes, and observational signatures. Comparisons with General Relativity, Loop Quantum Gravity, string theory, and other approaches highlight the conceptual distinctiveness of UQE, particularly its treatment of divergence as a physical quantity and equilibrium as a fundamental organising principle. The framework offers a unified, balanced description of geometry, matter, and flux, opening new directions for theoretical, numerical, and observational exploration in Einsteinian Quantum Gravity.
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