PRAZNANIE: A Coordinate Model of Semantic Operations in Language.

PRAZNANIE is a coordinate model of semantic operations in language that proposes a structured representation of meaning through a matrix of elementary semantic functions. The model introduces a 5×5×2 language matrix in which semantic operations are organized within a discrete coordinate-phase system. Each position of the matrix corresponds to a fundamental semantic operation that participates in the formation and transformation of linguistic structures. Within this framework, language is interpreted not only as a symbolic system but also as an operational architecture of meaning that organizes how attention, semantic differentiation, structural formation, and closure occur within linguistic cognition. The model treats semantic units as operational elements that interact within a structured semantic space. Formally, the matrix can be interpreted as a discrete coordinate-phase system Z5 × Z5 × Z2. Geometrically, the structure can be represented through cylindrical and toroidal topologies with a central axis corresponding to the operation of attention. In computational terms, the system may be represented as a third-order tensor, while semantic transitions can be described as cyclic transformations within a five-phase structure. The model suggests that semantic operations in language may exhibit a periodic structural organization comparable to periodic systems found in other scientific domains. In this sense, the PRAZNANIE framework may be interpreted as a periodic system of semantic operations that organizes the operational architecture of meaning in language. The proposed framework is intended as a foundation for further interdisciplinary research in computational linguistics, cognitive science, artificial intelligence, and formal models of semantic representation.