Null-Directional Kinematics and the Statistical Structure of Spacetime: Clock Functionals, Transport Geometry, and Directional Support

A kinematic organizing principle is proposed in which physical structure arises as statistical functionals of an invariant null-directional ensemble. Let invariant-speed null propagation be primitive (resonating with causal set approaches, and let spatial direction be encoded by a normalized distribution on the null sphere. This work demonstrates that: (i) Special Relativity emerges from a symmetric overlap functional of directional weights (a second-moment structure), (ii) Newtonian gravity arises in the stationary, irrotational limit from spatial transport of the first moment (a flow/transport field), (iii) quantum uncertainty follows from Fourier duality between spatial support and directional (momentum) support, and (iv) gauge structure arises as internal frame redundancy of the directional amplitudes, yielding a natural connection (Abelian and non-Abelian) without postulating an independent gauge field. An experimentally relevant bound is then identified linking mass, gravitational gradients, and coherent spatial support, distinguishing deterministic tidal dephasing (GR+QM baseline) from a candidate stochastic “directional jitter” discriminator.