This paper presents SV-TGD 5. 5 (Super-Fluid Vacuum Theory of Geometric Dynamics), a unified framework that models the physical vacuum as a non-Newtonian granular fluid. We derive the proton radius (rₚ ≈ 0. 841 fm) as a geometric yield threshold of this vacuum lattice. Furthermore, we provide the first dynamical derivation of the electron's Spin-1/2 property. Through numerical simulations of the renormalized field equations, we demonstrate that Spin-1/2 emerges as a parametric resonance attractor. The electron soliton spontaneously locks into a 2: 1 subharmonic oscillation (ωₚarticle = ωᵥac / 2) under vacuum fluctuations, confirmed by the observation of an Arnold Tongue in the frequency response spectrum. In the cosmological sector, we derive the Hubble redshift from first principles without invoking spacetime expansion. By modeling the photon as a Floquet quasiparticle in a relaxing vacuum lattice, we show that redshift arises from the thermodynamic aging of the vacuum medium (Global Relaxation) combined with path-dependent hysteresis. The theory resolves the "Hubble Tension" by interpreting the apparent acceleration as a non-linear vacuum decay profile, and solves the "Friction Paradox" through the topological superfluidity of matter solitons. Highlights of Version 5. 5: New Cosmological Framework: Derived Cosmological Redshift from first principles using Floquet Theory and the Mathieu Equation in a static geometry. Vacuum Rheology: Defined the vacuum as a Non-Equilibrium Viscoelastic Memory Medium, unifying global aging (Hubble law) and local hysteresis. Paradox Resolution: Resolved the "Friction Paradox" by distinguishing the topological nature of Matter (Superfluid Solitons) vs. Light (Open Dissipative Waves). Experimental Predictions: Proposed specific tests regarding high-redshift non-linearity and vacuum dispersion constraints to differentiate from Lambda-CDM.
Shichao Tang (Tue,) studied this question.