Structural Differentiation Information (SDI) v1.4: A Minimal and Falsifiable Theory of Information as Stabilized Structure

This work presents Structural Differentiation Information (SDI) v1.4, a minimal and falsifiable framework in which information is defined as stabilized structural difference. Unlike conventional approaches, SDI does not treat information as stored data, symbolic representation, or probabilistic encoding. Instead, information is identified as the irreversible fixation of structural differentiation. The framework is built on a single defining relation: I_struct(D) = -log(1 - ηD), 0 ≤ ηD < 1 and its corresponding dynamical evolution: dI_struct/ds = [η / (1 - ηD)] · (dD/ds) From this structure, three core results follow: 1. Information arises from irreversible structural accumulation 2. Observable persistence emerges as a mapping: D → I_struct → measurable persistence 3. Time emerges as an ordering of structural accumulation: C → D → I_struct → t_emergent, consistent with dS/dt > 0 The framework provides a unified and directly testable description of information across domains including artificial intelligence, biological systems, and physical processes such as decoherence. SDI is minimal, cross-domain applicable, and constructed to be explicitly falsifiable through observable persistence and structural dynamics. Key statement:Information is not something that exists. It is something that remains.