KOKU/KDT-1 Conservation-Law Closure for the Anomalous-Force Hypothesis

This theoretical supplement states the minimum conservation-law closure required before a KOKU/KDT-1-inspired time-density field can be used in an anomalous-force model. Starting from one action, it derives the scalar-field equation, stress-energy tensor, matter-field force exchange, and finite-volume momentum balance. It shows that applying a device force proportional to the time-density gradient while omitting field momentum produces fictitious numerical propulsion. In an isolated cyclic system with zero boundary momentum flux, cycle-averaged thrust is zero. KDT-1 remains an observational hypothesis, not an established local force law. The proposed field and coupling are unvalidated. No physical force or thrust was detected or claimed, and non-reaction propulsion is not established.