Structural Differentiation Meaning (SDM) v1.0: Meaning as a Structural Response to Fixed States

This work introduces Structural Differentiation Meaning (SDM) v1.0, a minimal and structurally consistent framework in which meaning is defined not as an intrinsic property of a state, but as a response generated after structural fixation. In SDM, meaning arises from the interaction between a fixed state and a response structure,formally expressed as: M = ℛ(S_fixed, Σ) where S_fixed denotes a fixed state, Σ represents the response structure,and ℛ is a structural response mapping. This framework establishes that meaning is not contained within the state itself,but depends on the responding structure. As a result, the same fixed state can generatemultiple meanings depending on structural variation: M_i = ℛ(S_fixed, Σ_i) Furthermore, meaning may evolve over structural time as the response structure changes: M(t) = ℛ(S_fixed, Σ(t)) To ensure consistency, S_fixed is interpreted as a locally fixed state at each structural time. SDM is positioned within the broader Structural Differentiation Framework,connecting SDI (difference/information), SDO (fixation/observation), and SDM (meaning/response),forming the structural chain: Difference → Fixation → Meaning This provides a unified and minimal description of meaning as a relational outcomegenerated through structural processes. This work offers a clear and directly testable conceptual framework for understanding meaningas a structural response rather than an intrinsic property.