Structural Differentiation Quantum Theory (SDQ) v1.1: Time and Interaction as Emergent Structural Ordering

This work presents Structural Differentiation Quantum Theory (SDQ) v1. 1, a minimal, unified, and falsifiable framework in which time and interaction are not fundamental, but emerge from structural differentiation. In SDQ, time is defined as the ordering of irreversible structural change, while interaction arises from the overlap of structural gradients. Quantum states are interpreted as relational configurations within unresolved structural networks rather than intrinsic probabilistic entities. The theory replaces fundamental assumptions with structural relations, proposing that observables such as time, force, and probability are projections of an underlying structural process. A single decisive observational test is introduced: the SDQ-Correlation Test (SDQ-CT). While standard quantum theory predicts constant maximal correlation, SDQ predicts an intrinsic decay of correlation with structural connectivity: S (Lₛ) = 2√2 e^-βLₛ A statistically significant dependence of correlation strength on structural connectivity at fixed physical separation provides a direct and falsifiable criterion distinguishing structural emergence from intrinsic randomness. All figures are reproducible via the included Python script. This framework provides a direct path toward experimental validation.