The Cosmic Hydraulic Framework (Universal Model Protocol v2.42): Non-Circular Mechanical Derivations of Fundamental Constants and Superfluid Lattice Dynamics

This complete monograph standardizes the Universal Model Protocol v2.42 framework, unifying its theoretical foundation, closed-form derivations, and the Synchronized Master Reference into a single non-circular, dimensionally closed mechanical system. To resolve classical misconceptions regarding ether friction and mathematical singularities, this work formalizes the Ontological Co-Identity of Medium and Matter. It demonstrates that physical observers and measuring instruments are localized, self-sustaining toroidal solitons woven from the exact same chiral crystalline superfluid lattice as their background environment, thereby rendering the local speed of light (c) a structural invariant. Furthermore, the monograph deconstructs the Zero-Point (0 Pa), mapping it as a dimensionless, timeless Non-Place lacking spatial coordinates to house torsional rotation. Using a mechanical coil-spring analogy, mathematical zeroes (0) and infinities are shown to be 3D geometric projections of identical substrate phase transitions, where the helicoidal 3D lattice factor ((c/c_max)^2 = 2.342879247402525) straightens completely into a linear 4D resonance. Finally, micro- and macroscopic natural constants—including cosmostatic base pressure (P_0), lattice wave velocity (c_max), the fine-structure constant (alpha), the Rydberg constant (R_infinity), Boltzmann's constant (k_B), the gravitational constant (G), Coulomb force (F_atom), and the strong nuclear force (F_strong)—are derived in exact SI dimensional closure from four decoupled axiomatic constants (c, rho_f, alpha, m_e) without circular dependencies.