An Information-Divergence Model for Residual Oscillator Frequency Shifts: Synthetic Validation and a Pre-Specified Experimental Test

We introduce a falsifiable information-theoretic model, termed the Time as Informational Resistance Theory (TTRI), for predicting residual period and frequency shifts in an oscillator after conventional physical disturbances have been modeled. The operational predictor is a channel-indexed Kullback-Leibler divergence. Two forms are specified before physical data collection: a linear response proportional to D and a quadratic response proportional to D2. For a stationary binary Markov exposure with equal marginal probabilities and persistence a, the exact dose is D(a)=a ln(2a)+(1-a) ln[2(1-a)]. Four frozen conditions yield distinct normalized predictions. The directional prediction is that increasing divergence increases residual period and decreases residual fractional frequency. The work provides synthetic code validation, analytical and Monte Carlo power calculations, a blinded controlled design, holdout transport, conventional confound models, model-selection criteria, and explicit falsification rules. No confirmatory physical measurements are reported. Synthetic simulations establish calculability, parameter recoverability, and analysis-pipeline performance under specified generative assumptions; they do not constitute evidence that the proposed physical effect exists in nature. The deposited files contain the English preprint, a Spanish translation for reading and review, the complete English LaTeX and ancillary reproducibility package, the Spanish source package, and a SHA-256 integrity manifest.