Gradientology: Foundations of the Primordial Triad — Treatise X: The Mechanics of Time and Gravity Derived from the Cosmic Algorithm

This treatise completes the Dynamic Resolution of the primordial crisis by deriving the operational mechanics of Time and Gravity from the Cosmic Algorithm established in Treatise IX. We formally define Time (τ ) as the cardinality of state transitions—the sequential count of computational steps executed by the Veldt—and derive its fundamental quantum, the Chronon (τ0). We prove the Arrow of Time is a necessary consequence of the non-injective, information-lossy Registration collapse within the Inversion Principle. Rejecting absolute simultaneity, we geometrically derive the Light Cone as the causal horizon of algorithmic updates, defining the Speed of Light (c) as the fixed propagation rate of the state-update wavefront across the relational grid. Crucially, we identify Mass as Computational Density (Ω), a local concentration of algorithmic load that slows the local processing frequency, yielding Time Dilation. From this, we derive Gravity not as a fundamental force but as the refractive bending of worldlines toward regions of slower processing—a direct geometric consequence of differential time flow. The Event Horizon is shown to be a state of CPU lock where processing stalls entirely. Finally, we establish that the entropic, lossy nature of the algorithm ensures Computational Irreducibility, rendering the future ontologically open and driving the evolution of complexity. The universe is thus revealed as a self-computing, temporally-thickened process where physics is the manifestation of its operational logic.