UNIFIED WAVE COSMOLOGICAL MODEL. Ontological and Formal Foundations of the Model.

This work concludes the cycle of works on the ontological and formal development of the Unified Wave Cosmological Model (UWCM). The model postulates spacetime as a discrete dynamic network (Plast) and introduces the Superintense Gravitational Wave (SGW) as an active boundary of the cycle. All objects of General Relativity are derived as projections of the dynamics of Plast connections. An alternative interpretation of the nature of matter is proposed: fundamental particles are interpreted as activated connections of the Plast, while nodes are points of energy localization. This allows explaining the fermion mass spectrum through the hierarchy of connection density levels and provides ontological unity of the microcosm and macrocosm (isomorphism with the black hole classifier). The particle mass spectrum is shown to be organized into five distinct classes corresponding to discrete levels of connection energy, with masses quantized through integer powers of the Planck scale. The deviation of composite objects (J/ψ, Z-boson) from this geometric progression confirms the ontological status of the mass quantization formula only for fundamental fermions. Neutrinos are identified as a transitional type between massless and massive states, with their three generations corresponding to three levels of activation. The model predicts the existence of new particles with specific masses in each class and demonstrates an isomorphism between the particle mass spectrum and the black hole classifier, confirming the universality of Plast node scaling. The model demonstrates precise agreement with key observational data without introducing additional entities: Explains the Hubble tension (H₀) with ψ₀ ≈ 0.917. Agrees with DESI DR2 BAO data with accuracy < 0.5σ using a single evolution parameter γ ≈ 0.06. Reproduces Planck acoustic peaks with accuracy < 1.2σ. For the first time, the principle of continuity of anomalies is formulated: it is shown that modern tensions (>5σ) have precursors in past data (WMAP, SDSS), confirming the physical nature of deviations from ΛCDM. Neutrino mass evolution is introduced as a consequence of connection dynamics; the role of neutrinos as advanced agents of information transfer in events such as TXS 0506+056 is predicted. The model is strictly falsifiable, offers clear criteria for refutation (detection of WIMPs as dark matter particles, immortality of Λ, violation of the black hole classifier) and represents a new paradigm unifying General Relativity and quantum logic through a unified ontology of the Plast.