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

The Geometric Vorticity Effect (GVE) theory extends Einstein-Aether gravity by treating vorticity as a dynamically significant geometric degree of freedom in strong-field regimes. In rotating black holes, frame-dragging generates vorticity ω ~ 10⁵ s⁻¹ that couples to spacetime geometry through the aether field's antisymmetric derivative tensor.Three Main Results:Black Hole Singularity Resolution: A Rotational Condensation Core (RCC) with radius r_RCC ~ 10⁻¹⁴–10⁻¹² cm replaces the classical singularity through vorticity back-reaction, preventing complete gravitational collapse.Cosmological Bounce: Phase transition at T_c ~ 5×10¹⁶ GeV (derived from finite-temperature field theory) provides a non-singular cosmological bounce, replacing the Big Bang singularity.Baryogenesis: CP-violating vorticity coupling generates baryon-to-photon ratio η_B ~ 10⁻¹⁰, consistent with observations, requiring only SU(2)_V gauge theory.Observational Consistency: Fully compatible with GW170817 constraints (|c_T - 1| < 10⁻¹⁵) and energy conservation (E_release ≲ 6×10⁵³ erg).Falsifiable Predictions:Black hole shadow deviations: δθ/θ ~ 0.5% ± 1.5% (ngEHT 2027-2030)Gravitational wave ringdown: Δf/f ~ 10⁻⁴ (Einstein Telescope 2035+)CMB parity-odd correlations: B_EB/B_TT ~ 10⁻¹⁷ (below CMB-S4 sensitivity)The theory derives all mechanisms from established physics without ad-hoc modifications, providing a mathematically rigorous and observationally testable framework for strong-field gravitational phenomena.