Causation Dilation: Light-Length, Path Entropy, and an Explanation of Relativistic Time Dilation

Relativistic time dilation is explained, not merely described, by a single quantity: the length of light path a physical process must occupy relative to the undisturbed reference. Velocity lengthens a light clock’s path by the hypotenuse of its motion; gravity lengthens it by the stretching of radial proper distance in the Schwarzschild metric. At matched conditions (linear velocity equal to local escape velocity) the two path factors are identical, 1/√(1 − v²/c²), and their reciprocals are the clock-rate factors of special and general relativity. Entropy is assigned to the path rather than to the light that traverses it. With accessible path positions proportional to path length, the per-path entropy gradient is k/L, and the ratio of gradients between a disturbed and an undisturbed path equals the relativistic clock-rate ratio exactly, with Boltzmann’s constant cancelling. The result is a reading of relativity in which nothing slows: a system on a longer path spends more of the universe’s entropy potential on its route and is left with proportionally less causal progression. This is termed causation dilation. No standard second is used in the argument; clock time corresponds to the result because every clock is built of light-mediated processes. The treatment is placed within a cosmology in which the universe begins as nothing, acquires an unbounded negative-entropy potential (S → −∞ as W → 0⁺), and is exhausted when that potential reaches zero, and it extends the Awareness–Entropy Model (doi:10.5281/zenodo.23020359), where local time is already a count of causal moments. Gravitational and kinematic path excesses are shown to compose as a right triangle (γ_g γ_v); in weak fields they add, and the GPS correction of +38.6 μs/day is reproduced by adding them. The paper states explicitly which results are derived (light-clock factor, escape-velocity identity, radial stretch, composition, GPS) and which are interpretive (path entropy as the rationed quantity, nothing beneath spacetime as the reference), and positions the work relative to the Lorentz–Poincaré–Bell preferred-frame formulation, the Jacobson–Verlinde entropic-gravity lineage, and the Theory of Entropicity. The intent is explanatory: every numerical result of relativity is retained.