A Canonical, Falsifiable, Pre-Geometric Foundation for Fundamental Physics

We show that standard physical notions emerge operationally from the collective and spectral properties of the correlational structure. In particular, dimensionality arises as a scale-dependent observable defined through diffusion processes on the correlational lattice, leading naturally to dimensional flow without postulating geometry. Time is shown to emerge as an effective order parameter associated with synchronization and irreversible coarse-graining of internal degrees of freedom, while causal structure arises from the propagation of influence across connectivity relations, without requiring a background temporal parameter. Geometry and gravitational phenomena are interpreted as emergent transport properties and collective correlational gradients, rather than fundamental forces.