The Song of the Vacuum: Decoupling Wave-Particle Duality, Spin, Entanglement, and Cooper Condensates within the Pure Gauge-Topological Framework Yassin Tanan Independent Researcher, Torino,
Yassin Tanan
Abstract
For nearly a century, contemporary physics has accepted wave-particle duality, electron spin, the Pauli exclusion principle, and quantum entanglement as abstract probabilistic axioms. This paper presents a profound shift in perspective, systematically translating these quantum mysteries into deterministic, concrete geometric properties of a structured vacuum. Operating within a four-dimensional hyperbolic topological lattice governed by the Weil-Petersson metric space, we eliminate classical pseudo-Riemannian curvature in favor of micro-scale Yang-Mills holonomy. By parsing the exact mathematical thresholds between the fluid Gauge Covariant Derivative and the rigid Topological Friction Tensor, we provide a unified physical mechanism that explains quantum behavior from the double-slit experiment to superconducting Cooper pairs without epistemological ambiguities.