Topological DFT and the Quantization of Physical Interaction Strengths

This project formulates Topological Density Functional Theory (DFT) for non-Hermitian systems while establishing mathematical frameworks for the exact quantization of physical interaction strengths via singular moduli.

We mathematically transform continuous, noise-vulnerable analog coupling estimations into discrete, exact topological counting problems. Additionally, this research develops Floquet-Monodromy Spectroscopy to measure the Quantum Geometric Tensor dynamically, providing the architectural proofs necessary to engineer frustration-protected macroscopic entanglement within driven-dissipative spin lattices.