Mediated Interaction in a Shared Dynamical Environment: A Mechanistic Extension of the Principle of Dynamical Sensitivity

The first paper, The Principle of Dynamical Sensitivity of Structures within a Shared Physical Environment, introduced the Principle of Dynamical Sensitivity as a conceptual proposal according to which structures emerging within a shared dynamical physical environment inherit sensitivity to its dynamical properties. The second paper, Operationalizing the Principle of Dynamical Sensitivity: Response, Coupling, and Cross-Scale Interaction, operationalized this principle through a response-based framework distinguishing environmental excitation, system sensitivity, realized response, and threshold-dependent effective interaction. The present work extends this program by addressing a further open question: how dynamically effective interaction may become mediated through emergent intermediate regimes within the same shared environment.

The proposed framework interprets mediated interaction, chained resonance, and sequential coupling as possible higher-order consequences of realized response. In this perspective, response need not remain a purely local or isolated event, but may under suitable conditions become stabilized, propagated, or reorganized through intermediate dynamical structures. These structures are treated not as new entities or forces, but as emergent regimes of organized response embedded in the same shared dynamical background.

A minimal schematic form of mediated response is introduced to distinguish latent channels from dynamically effective ones and to clarify how weak, transient, or sub-threshold mediation may persist without becoming observable interaction. The present paper does not propose a new physical force and does not yet formulate a theory of information transfer. Its contribution lies in providing a mechanistic extension of the existing framework and in clarifying how shared dynamical environments may support the emergence, persistence, and failure of mediated interaction across different dynamical regimes and scales.