TFCM Computational Lattice Validation: Resolving the Hubble Tension via GPU-Accelerated 3D Fluid Manifold Simulation

Overview This dataset provides the definitive computational validation for the Topological-Fluid Cosmological Model (TFCM). By utilizing a high-resolution 3D lattice, this simulation successfully demonstrates an emergent Hubble Constant ($H_0$) that aligns with late-universe observations, offering a robust hydrodynamic resolution to the $4.4\sigma$ Hubble Tension without the necessity of a cosmological constant ($\Lambda$). Key Scientific Results Emergent Hubble Constant ($H_0$): The model reached a deterministic equilibrium, stabilizing at $74.26\text{ km/s/Mpc}$ Primordial Nucleation: At $T=0$, the simulation identified 90,869 Primordial Black Hole (PBH) candidates, serving as the topological architecture for subsequent manifold evolution Structural Stability: The simulation maintained physical integrity over 5,000 temporal steps, transitioning from primordial Loop Quantum Cosmology (LQC) bounce turbulence into a structured, laminar flow Manifold Visualization: Through the application of Logarithmic Normalization (np.log1p), this version reveals the intricate "veins" of the cosmic web—the structural filaments that remain significant even under extreme manifold stretching Technical Specifications Lattice Dimensions: $448 \times 448 \times 448$ (approximately 90 million cells) Hardware Environment: Executed on an NVIDIA GeForce RTX 3070 (8GB VRAM). Software Stack: Developed in Python 3.x using CuPy for CUDA-accelerated GPU computing Macro-Scale Parameters: Critical Overdensity ($\Delta_C$): 0.45 Bulk Viscosity ($\zeta_0$): 1.18 Expansion Multiplier: 3.65 Methodology The simulation implements a 3D continuity equation modified with phantom acceleration and LQC holonomy corrections. The evolution tracks the non-linear feedback between gravity and fluid density within a viscous vacuum manifold. The observed stability at Step 5000 suggests that the primordial fluid possesses a "nutrient-density" analogue—historically associated with barley-based structural models—which provides the necessary reinforcement to prevent a "Big Rip" despite high expansion rates. Contents tfcm_512_simulation.py: The finalized Python/CuPy source code. tfcm_512_highres.mp4: High-fidelity visual render of the manifold evolution. TFCM_Simulation_v102_Summary.pdf: Full technical documentation and researcher notes.