Structural Differentiation Time (SDT) v1.1: Dynamics of Structural Time and the Emergence of Temporal Behavior

This work presents Structural Differentiation Time (SDT) v1.1, a minimal and falsifiable framework describing the dynamical emergence of time. Unlike conventional approaches in which time is treated as a fundamental background parameter, SDT defines time as an emergent observable generated through irreversible structural differentiation. The framework is based on a minimal expression of structural time: τ(D) = 1 − exp(−λD) and its dynamical evolution: dτ/dt = (dτ/dD)(dD/dt) This formulation implies that time does not flow uniformly but is produced through structural evolution. A key result of SDT v1.1 is that observable temporal behavior depends on the rate of structural differentiation, leading to measurable differences in effective temporal histories across systems. This provides a clear, decisive, and directly testable criterion for distinguishing structurally generated time from externally imposed temporal frameworks. The theory predicts that temporal discrepancies may arise not only from relativistic effects but also from intrinsic structural differences between systems. All figures are reproducible via the provided Python implementation, ensuring full transparency and reproducibility. SDT forms a foundational component of a broader structural framework alongside Structural Differentiation Cosmology (SDC) and Structural Differentiation Quantum Theory (SDQ).