Generators, Semigroups, and Reconstruction in Sigma-Time Dynamics

This paper gives the generator and reconstruction layer for sigma-time dynamics. A boundedvariation clock carries continuous motion, atomic ticks, and flat physical-time intervals in a single time object. The main results identify when a declared generator package produces a sigma-evolution family, when a regular evolution family reconstructs its generator package, and which extra domain hypotheses are needed before an unbounded reverse direction is legitimate. The outcome is a citation-safe bri