Hidden Gauge Symmetries in Black Hole Spacetimes: A Geometric Dark Sector from String Theory Compactification"

A Unified Geometric Key to the UniverseWe present a comprehensive theoretical framework in which the Geometric Vorticity Effect (GVE) unifies black hole physics, Big Bang cosmology, and baryogenesis through spacetime vorticity coupling within the Einstein–Aether formalism. At the heart of this model are two fundamental couplings: Parity-even: L_GVE = -(β / 2Λ²)(φ² / M²_Pl) Ω_μν Ω^μν, where positive vorticity drives intense gravitational compression — black holes emerge as “Venturi-in” structures. Parity-odd: -(β̃ / 2Λ²)(φ / M_Pl) Ω_μν Ω̃^μν, where a sign reversal initiates cosmic expansion — the Big Bang as “Venturi-out.” This dual geometric mechanism not only accounts for the matter–antimatter asymmetry via CPT violation in high-vorticity regimes, but also resolves the flatness and horizon problems without invoking inflation. It yields testable predictions for cosmic microwave background (CMB) anisotropies, large-scale structure correlations, and primordial gravitational wave signatures. Mathematical consistency is rigorously established through full hyperbolicity analysis (characteristic speeds ≤ c), stability conditions (all eigenvalues positive), and observational viability within the allowed parameter space β / Λ² ≲ 10⁻¹⁸ GeV⁻². The GVE framework thus offers a cohesive and predictive model, linking the Universe’s most extreme gravitational environments with its earliest moments and fundamental asymmetries.