Structural Differentiation Quantum Theory (SDQ) v1.4: Time as Irreversible Structural Differentiation

This repository presents Structural Differentiation Quantum Theory (SDQ) v1.4, a minimal and falsifiable structural reformulation of quantum time. In standard quantum mechanics, time is treated as an external parameter. In SDQ, time is reinterpreted as the irreversible ordering of structural differentiation. The core proposal is that time does not independently flow as a primitive background quantity. Instead, it emerges as the accumulated record of irreversible structural change. The framework is summarized by a minimal structural time measure: τ(D) = 1 − exp(−λD) This formulation implies that temporal ordering is not fundamental, but arises from structural differentiation dynamics. Decoherence, measurement, and time are unified as manifestations of a single structural process. A key prediction of SDQ v1.4 is: Systems with identical conventional time parameters but different structural differentiation histories may exhibit measurable deviations in effective temporal ordering. This provides a single decisive, falsifiable, and experimentally accessible pathway to test the structural origin of time. The figures included in this repository are not arbitrary visualizations but direct representations of the core structural time equation and its observable implications. If validated, this framework implies that time is not a primitive variable in physics, but an emergent observable derived from structural processes.