Chronokinetic Gravity: Emergent Geometry and Gauge Fields from the Kinetics of Directed Time (Хроно-Кинетическая Гравитация)

This paper proposes a novel effective field theory, "Chronokinetic Gravity," in which spacetime geometry and gauge fields are not postulated as fundamental entities, but emerge hydrodynamically from the kinetic distribution of a local "time budget." Building upon G. Nordström's historical scalar theory of gravity (1913), I replace the scalar field with a directed distribution function T(x,n) on an indestructible, flat Minkowski background. By introducing a strict Eulerian approach—where a fixed sphere of directions S² exists at every point in space to transmit time values— I rigorously derive the macroscopic field moments.

I prove that the conservation laws of the local mixing integral dynamically generate the Lorentz gauge for electromagnetism (spin-1) and the transverse-traceless (TT) gauge for the graviton (spin-2). Through the Chapman-Enskog gradient expansion and the Deser spin-2 bootstrap mechanism, I demonstrate the inevitable formation of the non-linear Einstein equations as a macroscopic hydrodynamic limit. Furthermore, the vDVZ discontinuity is naturally bypassed via the tensor zero-mode of the collision integral. Finally, I show that gravitational singularities (in black holes and the Big Bang) are mathematical artifacts of the hydrodynamic limit breaking down (Knudsen number Kn ≫ 1), where the metric dissolves into a ballistic, collisionless transmission of information, providing a UV-complete path to quantum gravity via Landau damping.