LEM v0.2: A Computational and Experimental Framework for Testing Information-Dependent Timing Residuals

LEM v0.2: A Computational and Experimental Framework for Testing Information-Dependent Timing Residuals LEM v0.2 presents a falsifiable computational and experimental framework for investigating whether reproducible timing residuals remain systematically associated with an information-density observable after standard instrumental, detector, environmental, and timing effects have been modeled and controlled. The framework defines an information-density observable, timing residual formulation, candidate statistical models, Monte Carlo validation procedures, sensitivity and identifiability analysis, physical measurement requirements, calibration procedures, quality-control criteria, preregistration requirements, bootstrap and permutation analyses, and an independent replication strategy. The central experimental question is: “After standard instrumental, detector, environmental, and timing effects have been modeled and controlled, does a reproducible timing residual remain systematically associated with the information-density observable ρI?” The work explicitly separates computational validation from physical validation. Synthetic and Monte Carlo analyses are intended to evaluate statistical behavior, sensitivity, identifiability, false-positive control, and experimental design before physical measurements are interpreted. At the current stage, the mathematical and statistical framework and the proposed physical measurement protocol are defined. Physical experimental validation and independent physical replication remain pending. This manuscript is intended as a reproducible experimental framework rather than a claim of established physical confirmation. Any future physical result should be evaluated against the preregistered analysis protocol and independent replication criteria. Scientific status:Mathematical framework: definedStatistical framework: definedMonte Carlo framework: definedPhysical measurement protocol: definedPhysical validation: pendingIndependent physical replication: pending Keywords: LEM v0.2; timing residuals; information density; Monte Carlo validation; statistical inference; detector timing; LiDAR; time-of-flight; experimental physics; reproducibility; preregistration