The Metric of the Ocean: Topological Form Factors and the Structural Quantization of Mass and Time

This paper establishes the rigorous mathematical and dimensional foundation of the Fermionic Universe Hypothesis (FUH paradigm), completely resolving the long-standing problem of causal circularity between the concepts of mass and time. Within the framework of Project OCEAN, it is demonstrated that the International System of Units (SI) contains redundant independent dimensions. By replacing the abstract geometric vacuum of spacetime with a continuous, dense, and viscous fermionic condensate (η ≈ 1.2 × 10^-15 Pa•s), we demonstrate that mass and time are emergent properties derived directly from the physical parameters of the medium. We introduce a classification of Topological Form Factors (Φ_3D , Φ_2D , Φ_1D) that carry the strict dimension of a linear spatial scale of deformation ([m•s]), thereby closing the constitutive rheological mass identity on pure kilograms ([kg]). On this basis, local topological excitations of particles are distinguished from the global structural packing factor of the vacuum lattice (β = 0.618), which defines the boundaries for the analytical derivation of fundamental physical constants.