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

Geometric Precision Effect: Testing the Fabric of Spacetime at Quantum Scales This research introduces the Geometric Precision Effect (GPE) — a rigorously derived coupling between spacetime vorticity and scalar fields, emerging naturally from string theory and holographic duality. Built within a complete Einstein–Aether framework, GPE offers a precision test of general relativity by predicting minute geometric corrections, far smaller than dark matter effects yet measurable with next-generation astronomical surveys. The work unites theoretical completeness, observational accessibility, and multi-messenger validation, employing correlations in supernova luminosities, cosmic microwave background signatures, and pulsar timing data. By integrating constraints from gravitational waves, cosmology, and laboratory experiments, GPE sets the stage for testing the deep interplay between quantum geometry and large-scale gravitational phenomena — without breaking any existing observational bounds. Keywords: modified gravity, string theory, spacetime geometry, precision cosmology, gravitational waves.