This paper establishes that discreteness, threshold behavior, and measurement outcomesarise necessarily from finite propagation within coherent physical domains, without invokingparticles, quanta, or probabilistic postulates. Building on the synthesis (TIE v2.0) and prediction series (TIE v2.1), we show that continuous interaction cannot produce continuous reconfiguration when global compatibility is required. Instead, mismatch accumulates invisibly untilcoordinated resolution becomes possible, yielding discrete observable events. Measurement isconsequently reinterpreted as a physical reconfiguration of detector domains rather than a fundamental collapse process. This framework removes long-standing conceptual paradoxes whileremaining fully compatible with classical and relativistic constraints.