Structural Differentiation Observation (SDO) v1.0: Observation as a Fixation Process of Differentiated States

This work introduces **Structural Differentiation Observation (SDO) v1.0**, a minimal and falsifiable framework in which observation is redefined as a structural process that produces a realized state through interaction. In SDO, reality is not treated as a pre-existing fixed entity. Instead, multiple differentiated states exist as possibilities, and interaction drives the fixation of one realized configuration. The framework is built upon a single structural transition: S_possible → (interaction) → S_fixed A key contribution of SDO is the reinterpretation of observation as a dynamical and generative process rather than passive measurement. The theory introduces: - A structural definition of interaction (I) as coupling between differentiated states- A fixation dynamics law: R_fix = 1 − exp(−αI)- An emergent time relation: t_obs ∝ Σ F_i Importantly, the interaction term I is connected to measurable quantities such as correlation strength, information flow, or interaction energy, providing a direct bridge between abstract structure and experimental observables. The framework is supported by a complete figure set illustrating: - State fixation (branching → convergence)- Network propagation and fixation cascade- Emergence of time through ordered fixation- Structural production of realized states- Interaction-dependent fixation dynamics SDO suggests that observation does not merely reveal reality, but structurally produces it through fixation. This provides a clear, decisive, and directly testable pathway toward experimental validation across physical and informational systems. This work is part of the broader Structural Differentiation Framework (SDC/SDI/SDT/SDO),aiming toward a unified description of structure, information, time, and observation.