Decisive Predictions and Falsification Criteria in a Finite-Capacity Latency–Erasure Theory A Unified Constraint Map Across Weak-Field Gravity, Cosmology, Nonequilibrium Clocks, and Stochastic Latency Noise

A physical framework becomes scientifically stronger when it states not only what it may explain, but also what would rule it out. The finite-capacity latency–erasure program has already developed explicit phenomenological branches in weak-field gravity, cosmology, nonequilibrium clock physics, stochastic latency fluctuations, and effective microphysical closure. What remains is to organize these branches into a single falsification-centered mathematical structure. In this paper, we construct such a structure. We define a master effective parameter vector for the finite-capacity latency–erasure theory and introduce normalized sectoral deviation functionals for four principal observational interfaces: weak-field gravity, moderated cosmology, history-dependent differential clock tests, and stochastic latency-noise observables. Each deviation is measured relative to a sector-specific threshold, thereby allowing the theory space to be partitioned into excluded domains, observationally trivial domains, marginal near-threshold domains, and balanced decisive regions. We then derive explicit asymptotic formulas, threshold conditions, and cross-sector consistency inequalities. The weak-field sector is expressed through screened Yukawa-type corrections; the cosmological sector through bounded departures in , , and ; the nonequilibrium sector through a relaxation-driven history-latency response; and the stochastic sector through spectral and coherence-envelope deformations of a fluctuating latency field. A toy numerical scan is introduced to illustrate how the abstract falsification geometry can be operationalized in reduced parameter space. Finally, closure-supported tradeoff relations are used to show how multi-sector viability becomes more restrictive once phenomenological freedom is linked to an effective microphysical substrate. The result is a unified falsification map for the finite-capacity program. The theory is thereby recast not merely as a source of possible phenomenology, but as a constrained model class with explicit empirical vulnerability, structured threshold logic, and nontrivial criteria for program-level scientific viability.