Chrono Thermodynamics of Irreversible Acceleration

In Quantum Loop Chrono Dynamics (QLCD) space is rigid while time is deformable: clocks accelerate or retard under a scalar stress field, and all ledgers of motion must include a time-sector deposit. When two energy concentrations acquire relative motion, part of the external work goes into ordinary kinetic energy (reversible under braking) and part irreversibly into time deformation, which remains as a differential age between worldlines. Here we formalize a thermodynamics for this irreversible deposit: a Lyapunov state $\TimeE(\Warp)$, a minimal-production principle (monotone profiles), explicit reversal (convexity) penalties, and edge-shaping rules for radiative hygiene. We then integrate a human-comfort navigation law (\( |\alpha|\le g_\oplus \)) and show how the accelerate--decelerate ``flip'' schedule continuously morphs into a no-break schedule as the destination redshift $z$ grows.