Time-Scalar Field Theory as the Microscopic Foundation of Relativistic Time Dilation

We extend Time-Scalar Field Theory (TSFT), as formulated in Zebra Poker: The Ultimate Unification of Physics [1], to derive, rather than assume, the Lorentz factor underlying special relativity’s time dilation. TSFT models time as a scalar potential Θ(x, t) whose biased collapse generates observable temporal rates. Relativistic proper time emerges from the redistribution of uncollapsed future amplitudes within warped scalar-time foams. This yields γ = 1/p 1 − v2/c2 without invoking spacetime geometry, unifying quantum collapse dynamics with macroscopic temporal rates under a single TSFT framework.