THE HOLOMOSAIC THEORY (THT)

The Holomosaic Theory (THT) is proposed as a domain-relational meta-framework for representing scientific and conceptual domains as structured blocks connected by explicitly defined relations. Its architecture contains three core mechanisms: the Structural Block Mechanism, the Deterministic Paradox Mechanism, and the Relational Dynamic Mechanism. These mechanisms are applied uniformly across five integrated domains: Mathematics; Systems and Cybernetics; Theoretical Physics; Phenomenology and Metaphysics; and Philosophy of Science and Epistemology.The formal model distinguishes domain representation, revision of the represented knowledge structure, and the dynamics of relations among represented components. The structural layer uses tagged disjoint unions, typed relational interfaces, and category-theoretic composition. The epistemic layer models changes in the recognized block family and in an inventory of unresolved questions. The dynamic layer represents five domain-level nodes as an imposed directed cycle and investigates a discrete-time feedback rule.Under an explicit cycle-preserving update assumption, the persistence of the five-node macrocycle follows by induction. For a separate five-dimensional cyclic averaging model with coupling parameter 0<\alpha<1, the sum of the coordination variables is invariant, and the variables converge to their initial arithmetic mean. These results are conditional mathematical properties of the selected model; they do not prove that the physical universe is globally cyclic, topologically closed, or invariant.The manuscript defines the principal variables, the five-domain matrix, the eleven subject modules, operationalization rules, hypothesis families, counterexample criteria, computational tests, and a staged validation protocol. Universal physical and metaphysical claims are explicitly separated from formal results and empirical questions. The intended contribution is a coherent architecture from which more specific mathematical and empirical models can be developed and evaluated.