Viscous Time Theory (VTT): A Mathematical Proposal for Coherence-Dependent Temporal Response

This work presents Viscous Time Theory (VTT) as a mathematical proposal for modeling temporal response in structured systems. The central idea is that response delay, transition tendency, and local recovery may depend not only on external time, but also on the internal organization of the system. In this work, the proposed variables are a normalized coherence density, a coherence-flux field, calibrated temporal viscosity, residual memory, and an informational entropy-pressure term derived from coherence-flux divergence. The proposal states the core equations, clarifies the intended interpretation of the terminology, and outlines a falsifiable research program. The aim is not to replace relativistic time, quantum dynamics, or thermodynamic entropy, but to introduce a response-level framework that can be tested in non-equilibrium, quantum, computational, and biological systems.