Theory of Consciousness: Interaction of Observers.

This article is the fourth in a series devoted to the consciousness of the human observer. The Theory of Consciousness considers each observer as a stable local structure of distinctions within the unified consciousness. The present work investigates a fundamental question: how do two observers interact through consciousness? It is demonstrated that the interaction of observers is ontologically mediated: two observers never come into direct contact; rather, they exchange the light of consciousness through the global consciousness. Each act of communication is formalized as a two-stage chain. The concept of shared knowledge is introduced as the intersection of the actualizable components of the light of consciousness within the compatible filters of observers. Five channels for the transmission of distinctions are formalized — gesture, speech, writing, art, and mathematics — as distinct physical mechanisms for generating and actualizing a shared light of consciousness. A fundamental limit of communication is established: complete coincidence of knowledge states is unattainable in principle, since each observer actualizes the light of consciousness through their own unique filter. Language is examined as a system of stable mediating structures within consciousness that increase the overlap filters of observers. The implications of this framework for understanding, translation, and mathematics as the language of maximal precision are analyzed in detail.