Pulsed Time-Flow and Horizon Regimes

We investigate the consequences of treating the rate of time as a dynamical, local, and measurable physical field. Without introducing new cosmological scenarios or ad hoc assumptions, we adopt a minimal axiomatic framework in which physical time is defined as the integral of a time-flow field over a reference parameter, while local Lorentzian physics is recovered in the appropriate limit. Under these minimal assumptions, we show that the theory necessarily admits limiting regimes in which the physical flow of time tends to zero. In such regimes, temporal evolution ceases to be available as a degree of freedom, and incoming structures are naturally described as boundary data. We further demonstrate that, under generic and physically unavoidable conditions of anisotropic and temporally non-uniform influx, the response of the time-rate field cannot be either purely chaotic or purely monotonic without violating local causality or the existence of stable local physics.As a consequence, a pulsatile (oscillatory) microstructure of the time-rate field emerges as the only causally consistent and generic dynamical response. We show that this microstructure is naturally coarse-grained at macroscopic scales, leading to the observed effective continuity of time.Finally, we discuss the resulting implications for early and late cosmological regimes and identify concrete, testable signatures—including residual redshift drift and weak systematic timing deviations in optical atomic clocks—while maintaining a strict separation between necessary consequences and exploratory indications. The results establish a no-go structure: if the rate of time is dynamical, horizon-like regimes and pulsatile behavior are not optional features but unavoidable consequences. This work is part of the broader Time as Expansion of Space (TES) research program.