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

Hidden Gauge Symmetries in Black Hole Spacetimes" A cutting-edge theoretical framework uniting string theory compactification with rotating black hole thermodynamics through a novel vorticity–scalar coupling. This work rigorously derives the coupling from Kalb–Ramond field dimensional reduction and proves its mathematical consistency, including hyperbolicity, stability, and strong-coupling bounds. The model predicts measurable corrections to Hawking temperature, Wald entropy, and frame-dragging, all while remaining fully compatible with post-Newtonian constraints and gravitational wave observations. Notably, it reveals a geometric dark sector—a subtle but testable imprint of hidden gauge symmetries—potentially detectable via next-generation gravitational wave detectors, precision astrometry, and cosmological surveys. More than a theoretical curiosity, this framework provides a falsifiable, experimentally relevant extension to general relativity, offering new insights into the quantum geometry of spacetime and the origin of dark sector phenomena.