The Universal Topological Resonance Equation: From Einstein-Cartan Torsion to Quantum Computational Optimization

We present a unified topological framework bridging general relativistic singularities and quantum computational stability. We formulate the Universal Topological Resonance Equation, governed by a unitary phase inversion operator isomorphic to SU(2) gauge symmetries. In this revised edition, we pivot from macroscopic cosmological correlations to microscopic electrodynamic applications. We demonstrate how the mathematical expansion of the Einstein-Cartan Theory---specifically the introduction of a Fractal Torsion Lagrangian---provides a metric rationale for singularity avoidance via non-linear topological inversions. This theoretical foundation acts as a fundamental geometric algorithm, offering unprecedented noise-suppression mechanisms for quantum-level computation and tensor operations.