We propose a model in which proper time emerges from a finite local information sampling capacity and wave-function collapse occurs when the informational content of a quantum branch approaches a critical informational threshold. The Bekenstein bound is employed as a natural candidate for this threshold, but the framework is ex- plicitly open to other informational limits that could trigger probabilistic pruning. Combining insights from entropic gravity, holographic entropy limits, and objec- tive collapse models, we suggest that collapse corresponds to stochastic pruning of branches approaching saturation of local information capacity. The collapse rate is derived from the gravitational self-energy of spatially separated branches, yielding a dimensionally consistent scaling relation with quadratic mass dependence consistent with the Di´osi–Penrose framework. The model predicts anomalous decoherence in massive spatial superpositions and provides experimentally testable thresholds rele- vant to next-generation interferometers. This framework offers a unified perspective relating emergent time, collapse dynamics, and gravitational information bounds.
GUILHERME ZAMBUZI (Tue,) studied this question.