Quantum Geometry, Fractionalization, and Provability Hierarchy: A Unified Framework for Strongly Correlated Systems
This paper proposes a unified framework for strongly correlated systems that redefines Mott physics through five pioneering discoveries, including golden-ratio scaling of quantum metrics, Fibonacci-sequenced fractional Chern insulators, a Provability Hierarchy Theorem linking strange metals to QMA-hard complexity, geometric-phase-induced nonlinear Hall oscillations, and the quantum geometric tensor as a unified descriptor of band geometry and topology.