T.I.D.E.: Temporal Interactions and Deterministic Equilibrium

Standard quantum field theories treat probabilistic wave-function collapse and infinite perturbation loops as fundamental laws of nature. While these continuous models are highly successful at low-energy macroscopic limits, their reliance on infinite continuous calculus inherently generates ultraviolet divergences and fails at the Planck scale. This manuscript proposes that these probabilistic mechanics are not fundamental, but are mathematical artifacts of continuous calculus attempting to describe a discrete, six-dimensional Euclidean lattice (3s 3t). Building upon the static crystallographic architecture established in earlier letters, this manuscript transitions the 6D framework into microscopic fluid dynamics, deriving the space-evolved Korteweg-de Vries (KdV) equation via the Principle of Least Action. I redefine the imaginary unit (i) as a physical 90^ geometric transformation matrix (J₌₈ₗ) and replace the infinite Feynman Path Integral with a deterministic, discrete hydraulic gradient. This solid-state translation enables the exact, parameter-free analytic derivation of the Møller scattering cross-section, proving that QED mass-correction polynomials are native binomial expansions of the 4-node boundary toll. Finally, by scaling these quantum fluid mechanics to macroscopic astrophysics, I resolve the Ostrogradsky instability of extra time dimensions, derive the exact energy releases of Fast Radio Bursts (1. 24 10^33 Joules), and provide two strictly falsifiable predictions: an 11. 33 keV acoustic dispersion echo in FRB afterglows, and a +32mₑ⁴ discrete dimensional trace deficit in extreme low-energy electron scattering (1. 022 MeV).