MY MATHEMATICAL DERIVATION OF THE VISCOSITY PARAMETER (FUH)

This paper presents a formal derivation of the Fermion Ocean Hypothesis (FUH), a novel cosmological framework that replaces the geometric vacuum of the LCDM model with a physical, viscous medium: a fermion condensate (psi-field).By treating the vacuum as a degenerate Fermi-liquid with a dynamic viscosity of eta = 1.2 * 10^-15 Pa-s and a fundamental particle mass of m_psi = 4.8 keV, the author provides a unified physical solution to the two major "Tensions" in modern cosmology:1. The H0 Tension:Cosmological redshift is derived as a dissipative energy loss ("Viscous Drag") of photons traversing the medium. This yields a precise Hubble Constant of 70.42 km/s/Mpc, effectively bridging the gap between Planck and SH0ES data.2. The S8 Tension:The viscosity of the medium acts as a global damping term in large-scale structure growth equations. The model predicts a 7.42% suppression of the S8 amplitude, matching the "smoothness" observed in KiDS and DES surveys with high precision.The document includes the mathematical formalization of the Viscous Redshift Equation and provides predictive markers for upcoming data from XRISM and DarkSide-20k. The author highlights that standard collisionless calibration models, designed for a zero-resistance vacuum, may initially misinterpret the predicted diffuse fluid signatures as instrumental noise or background fluctuations. Author: Alexander Shlyapik (ORCID: 0009-0003-7726-109X)