A RADICAL GEOMETRIC TRANSITION: THE PURE GAUGE-TOPOLOGICAL UNIVERSE AND THE ERADICATION OF CLASSICAL CURVATURE

This paper presents a foundational paradigm shift in contemporary physics, moving away
from conventional non-abelian unifications and classical General Relativity toward a fluid,
scale-covariant transition from the microscopic topological lattice of the quantum vacuum to macroscopic geometry. By replacing Newton’s gravitational constant GN with Max Planck’s quantum of action ℏ, we eliminate the epistemological ambiguities of action-at-a-distance models. Spacetime is modeled as a four-dimensional hyperbolic topological lattice governed
by the moduli space of Riemann surfaces under the Weil-Petersson metric. We demonstratethat macroscopic curvature (the Einstein tensor) is a redundant epistemological illusion,replacing it entirely with the thermodynamic dissipation of the strong interaction via the Gauge Covariant Derivative. Through a sequence of rigorous lemmas, we establish the Pure Unified Cosmological Field Equation, proving that gravity is exclusively the topological
friction of the Yang-Mills field, naturally eradicating singularities and predicting phenomena such as primordial black holes and the Löwdin proton tunneling mechanism.