The Emergence of Time from Ordered Asymmetry

This paper examines whether temporal structure must emerge from the logical conditions already required for nontrivial change. Building on prior results establishing the necessity of transition, irreversibility, and probabilistic constraint, it investigates time without assuming temporal primitives, clocks, metrics, entropy, or physical dynamics. It is shown that irreversible, probabilistically constrained transitions induce a stable partial ordering on states. This ordering grounds the distinction between “earlier” and “later” as a relational consequence of ordered asymmetry, rather than as a fundamental parameter or background structure. Temporal direction is thus derived from the persistence and…