Formal Notes on the c²-Model III: Projection and Coupling

Formal Notes on the c²-Model III: Projection and Coupling is the third formal supplement to Version 9.0 of the c²-Model of Realities. This note examines the structural relation between Basis Reality (BR) and Sub-Reality (SR), focusing on the concepts of projection, coupling, and structural representability. It clarifies that projection is not understood as a temporal process and that coupling is not interpreted as an ordinary physical force. Instead, the relation BR → c² → SR is interpreted as a non-temporal structural relation through which structural possibility becomes dynamically representable as physical appearance. Building on Formal Notes I, which introduced the relation between stability, accessibility and observability, and Formal Notes II, which extended the framework toward emergence, persistence and relational structure, the present note introduces the expanded expression: S_obs = P_BR→SR(S_possible) ∩ S_stable ∩ S_accessible This formulation is not intended as a replacement for established physical theories. It is a structural interpretation within the internal architecture of the c²-Model. The note also includes a short section on current experimental context, mentioning precision pion decay searches, long-lived particle programs, black-hole accessibility limits, and information persistence as structural illustrations of selective observability rather than empirical confirmations of the model. The note is part of the continuing independent development of the c²-Model of Realities and serves as a formal supplement to Version 9.0.