A Unified Geometric Framework Bridging Quantum and Cosmological Structures

This manuscript presents a scale-invariant geometric theory that unifies quantum tunneling and gravitational curvature. Drawing on cross-domain analogies between TFET band structures and gravitational wells, it proposes curvature—not mass—as the core mechanism governing energy transition, resonance, and collapse. Includes full mathematical derivation, validation framework, and diagrams. Origin story and comparative analysis with Einstein's theory included.