We propose a model in which proper time emerges from a finite local information samplingcapacity and wave-function collapse occurs when the informational content of a quantum branchapproaches a critical informational threshold. The Bekenstein bound is employed as a naturalcandidate for this threshold, but the framework is explicitly open to other informational limits thatcould trigger probabilistic pruning. Combining insights from entropic gravity, holographic entropylimits, and objective collapse models, we suggest that collapse corresponds to stochastic pruning ofbranches approaching saturation of local information capacity. The collapse rate is derived from thegravitational self-energy of spatially separated branches, yielding a dimensionally consistent scalingrelation with quadratic mass dependence consistent with the Diósi–Penrose framework. The modelpredicts anomalous decoherence in massive spatial superpositions and provides experimentallytestable thresholds relevant to next-generation interferometers. This framework offers a unifiedperspective relating emergent time, collapse dynamics, and gravitational information bounds.

Note: Bekenstein bound proposed as suggestion of pruning trigger, not definitive mechanism. Other informational thresholds possible.