We present a reformulation of fundamental physics in which temporal evolution emerges fromgeometric correlations across an information-theoretically motivated foliation of spacetime. The framework is defined on a four-dimensional Lorentzian manifold (M,gAB ) equipped with a scalar entropy field swhose level sets define "entropic layers." Quantum states are represented as sections of a Hilbert bundle over this foliation, with dynamics governed by a single timeless constraint ˆequationCΨ = 0 that encodes geometric flow via an operator-valued connection Dw.We prove a correspondence theorem demonstrating that in the semiclassical weak-layer regime (ε:= |gAB ∇As∇B s|≪1), the framework reproduces Einstein’s field equations and the Schr¨odingerequation relative to any observer-chosen relational clock c= C[s]. The kinetic coefficient Z(s) of the entropy field is uniquely determined by the Fisher information metric of local probability distribu-tions, connecting continuum dynamics to information geometry and distinguishing this framework from generic scalar-tensor theories.Phenomenological predictions include Yukawa-type corrections to Newtonian gravity with cou-pling strength and range constrained by fifth-force experiments (|α|< 10−2 for λs ∼1 mm), geo-metric Berry phases in atom interferometry, curvature-induced decoherence from bundle geometry, and effective dark-energy behavior in cosmology. We compare the framework to Wheeler-DeWitt theory, Page-Wootters relational mechanics, shape dynamics, and entropic gravity approaches, clarifying both conceptual similarities and essential mathematical differences. The framework provides aunified geometric substrate for gravity, quantum mechanics, and thermodynamics without invokingfundamental time as a primitive element.