The Topological-Fluid Cosmological Model: An Exhaustive Synthesis of Quantum Hydrodynamics, Topological Surgery, and Empirical Cosmology

Description The Topological-Fluid Cosmological Model (TFCM) presents a novel unified mathematical framework designed to address the foundational crises in the ΛCDM standard model of cosmology, specifically the Hubble Tension (H₀) and the S₈ Tension. This research establishes a synthesis between Loop Quantum Gravity (LQG), Non-Equilibrium Quantum Chromodynamics (QCD), and Topological Fluid Dynamics, treating the universe not as a static geometry, but as a dynamic, visco-elastic fluid condensate. Core Theoretical Framework Pre-Geometric Phase Transitions: The model utilizes Group Field Theory (GFT) to describe the emergence of spacetime from a non-spatial state via a topological phase transition. Viscous Cosmology: It introduces a modified Friedmann equation where bulk viscosity (ζ) and non-equilibrium thermodynamics resolve the expansion rate discrepancies observed between early-universe CMB data and local-universe measurements (SHOES/DESI 2024). Dark Sector Genesis: Dark matter is modeled as a "Topological Residue" (Foam) resulting from bubble nucleation during first-order phase transitions, providing a mechanism for the formation of Primordial Black Holes (PBHs) and scalar solitons. ER=EPR & Confinement: The framework maps quantum entanglement onto the geometric structure of Einstein-Rosen bridges, offering a unified explanation for the strong nuclear force and gravitational stability. Empirical Alignments This preprint synchronizes theoretical axioms with precision data releases from 2024–2026, including: DESI 2024: Physical explanations for the "Phantom Crossing" in the dark energy equation of state. NANOGrav 15-year: Mapping the Stochastic Gravitational Wave Background to QCD-scale phase transitions. JWST (2025-2026): Addressing "Chaotic Galaxy" formation anomalies through fluid turbulence models. Methodology & AI-Assisted Research: The TFCM employs a "Topological Surgery" approach to resolve the Big Bang Singularity, replacing it with a Quantum Bounce. Notably, the methodology for this research utilized Gemini Deep Research to perform exhaustive data synchronization and cross-verify theoretical axioms against 2024-2026 observational datasets. The research has now entered the "Numerical Validation" phase. Current development is focused on a custom Computational Fluid Dynamics (CFD) simulation suite designed to solve the TFCM Master Lagrangian. This simulation aims to provide the first high-resolution mapping of large-scale structure formation under the "Dark Transparency Constraint" and calculate the specific damping effects of cosmic bulk viscosity (ζ).