Operational Calculus for Sigma-Time Transforms

This paper develops, positions, and records the reproducibility boundary for the operational-transform layer of Sigma Transform Calculus. A bounded-variation clock σ determines a clock measure µσ and a canonical mass-coordinate selector ισ. The sigma transform of a signal is defined by selecting the signal into mass time and applying the ordinary Laplace kernel there. This converts clock-relative transform questions into mass-coordinate Laplace questions while keeping atoms, flats, endpoint conv