Deterministic Resolution of Multi-Scale Interface Singularities and Biomolecular Dynamics via ARC and V94-PhaseField Matter Generator

Large-scale biomolecular dynamics and multiphase fluid flows are bottlenecked by extreme timescale separations and spatial interface singularities. Stochastic trajectory integration fails due to multi-valley free energy barriers and VFT relaxation divergences. This paper presents a unified framework combining Advanced Rough Calculus (ARC) and the V94-PhaseField Matter Generator. ARC regularizes interface singularities into bounded polynomial operators, while ROA spectral collapse bypasses stochastic trajectory integration, enabling deterministic polynomial-time evaluation of multi-scale dynamics.