Emergent Proper Time from Dual Informational Constraints: Clock Efficiency and Geometric Capacity

We propose a phenomenological model in which the local rate of operational proper time measured by a physical observer is determined by the product of two independent informational factors: (i) the internal clock efficiency of the observer subsystem, motivated by relational time in the Page–Wootters framework; (ii) the geometric informational capacity of the surrounding spacetime region, mo- tivated by the Bekenstein bound. The resulting equation separates observer structure from environmental geometry: (Not avaliable) The model restores consistency with Minkowski spacetime while preserving an infor- mational interpretation of gravitational time dilation, and predicts small deviations between colocated clocks with different internal entanglement structure.