Viscous Shear Cosmology: Numerical Verification of a Unified Dark Sector via Relativistic Superfluid Dynamics

Description Version 5.0 (Formal Field Theory Update) Standard cosmological models (ΛCDM) are increasingly challenged by persistent tensions in the Hubble constant and the discovery of high-redshift supermassive black holes (such as LID-568) accreting at rates exceeding 40 times the Eddington limit. This paper proposes Viscous Shear Cosmology (VSC), a rheological extension to General Relativity that identifies the vacuum not as a static void, but as a Dilatant Vacuum Condensate (DVC) Siphon—a relativistic fluid possessing both bulk and shear viscosity. We derive the stress-energy tensor from the principle of least action, demonstrating that Dark Energy emerges naturally as the bulk viscosity (Π) of this 3D temporal manifold, while Dark Matter effects are identified as the viscous shear stress (πμν) generated by the vacuum substrate. Furthermore, we utilize Kolmogorov-Arnold-Moser (KAM) stability criteria to demonstrate that the DVC Siphon possesses discrete "islands of stability" governed by the Golden Ratio (ϕ≈1.618). These ϕ-scaled trajectories represent the paths of least resistance within the viscous substrate, allowing for the shear-thickened (dilatant) inflow required to mechanically resolve the super-Eddington accretion paradox. Key Findings: Unified Dark Sector: Resolves the Dark Energy/Dark Matter mystery as rheological features (Bulk Viscosity and Shear Stress) of a superfluid vacuum, predicting a Cosmological Constant of Λ≈1.59×10−52m−2. LID-568 Mechanism: Explains "impossible" hyper-accretion rates via a shear-thickening phase transition that bypasses the Eddington radiation limit. Hubble Tension Resolution: Identifies the 5σ tension as a kinematic vector bias caused by the Local Group's bulk flow velocity (≈600 km/s) adding to the background expansion. Mass Quantization: Matches LIGO/Virgo black hole population "pile-ups" (32.5 M⊙, 142 M⊙) to ϕ-scaled resonance nodes anchored at the Pair-Instability Supernova limit. Cyclical Cosmology: Establishes a closed-loop mass-energy cycle where the "Big Bang" is reinterpreted as a "White Hole" Mach Disk injection event from a preceding cosmic scale. Methodology: The model utilizes the Israel-Stewart formalism to ensure relativistic causality and the Green-Kubo relations to derive macroscopic viscosity from microscopic vacuum fluctuations. Keywords Viscous Cosmology, Dark Energy, Dark Matter, Hubble Tension, Super-Eddington Accretion, LID-568, General Relativity, Rheology, Golden Ratio, Quantum Gravity, Black Hole Physics, Dilatant Vacuum, LIGO, JWST. Code Availability: All simulations are open-source and available at: [https://github.com/DRose1991/Viscous-Shear-Cosmology-Simulation] ---- CITATION DATA----- Rose, D. (2025).Viscous Shear Cosmology: Numerical Verification of a Unified Dark Sector via Relativistic Superfluid Dynamics. Zenodo. https://doi.org/10.5281/zenodo.18138120 @article{rose2025vsc, author = {Rose, Dustin}, title = {Non-Newtonian Spacetime: A Rheological Model of Super-Eddington Accretion and Cyclical Cosmology}, journal = {Zenodo}, year = {2025}, month = {December}, doi = {10.5281/zenodo.18138120}, url = {https://doi.org/10.5281/zenodo.18138120}, institution = {Independent Researcher}