A Falsifiable Distance-Time Scaling Law for the Koku Universe: Synthetic Null-Test and Identifiability Study (KDT-1)

This technical note converts the Koku Universe phrase "distant is slow, near is fast" into an operational, falsifiable residual-frequency hypothesis. After correction for established propagation, geometrical and relativistic effects, KDT-1 models the residual log frequency ratio as ln(f_obs/f_src) = -kappa D, with the standard-physics null kappa = 0. A deterministic synthetic experiment compares the null, an exponential KDT-1 model and an earlier rational form. Across 20,000 Monte Carlo trials, the simulated false-positive rate was 0.125% and detection power was 69.47% for an injected kappa of 1.0e-12 m^-1 under the stated design. This is an unvalidated hypothesis and synthetic-data study. It demonstrates computational identifiability and analysis behavior only; it provides no empirical evidence of a physical distance-time effect.