Formalization of the Ontological Core of the Theory of Consciousness

This article presents a formalization of the ontological core of the Theory of Consciousness, grounded in the recognition of consciousness as the fundamental ontological condition of reality. Consciousness is defined not as a mental state, subjective experience, or collection of phenomena, but as the necessary and sufficient condition of distinguishability, knowledge, and observability as such.Using topology as a minimal formal apparatus, the work constructs a rigorously closed structure in which the emergence, actualization, stabilization, and global coordination of distinctions are derived without recourse to subject–object dualism, temporal becoming, representational correspondence, or teleological assumptions.The initial state of consciousness is represented by a trivial topology expressing ontological undifferentiation. Self-differentiation is introduced as an internal endomorphism enabling the emergence of nontrivial openness. Intention is formalized as structural directionality within distinguishability. Awareness is identified with the interior operator, actualizing distinctions, while knowledge is defined as a regular closed set ensuring structural stability. Harmony is introduced as a global principle minimizing structural divergence among knowledge configurations.The resulting framework provides a formally coherent ontological structure in which distinguishability, awareness, knowledge, and their coherence are internally derived from the primacy of consciousness itself. The paper concludes by outlining the necessity of further formalization of observation as an internal structural configuration of harmonized knowledge.