QuMorpheus and Topological Resolution in Chemical Physics

The QuMorpheus Initiative pioneers the high-fidelity topological resolution of non-adiabatic quantum dynamics, specifically targeting the mathematical resolution of conical intersection seams and Coupled Cluster (CC) root bifurcations (arXiv:2512.20414).
Traditional computational chemistry often fails at these degenerate singularities due to the breakdown of the Born-Oppenheimer approximation.
By applying the advanced algebraic geometry of Mixed Hodge Modules, this project bypasses perturbative estimations to achieve exact topological reconstruction.
Our framework establishes the paradigm of predictive topochemistry, rigorously mapping how impenetrable topological walls dictate experimental selection rules. This bridges the gap between highly abstract algebraic invariants and practical computational chemistry.
