High-Resolution ($2560^3$) Simulation of Primordial Black Hole Lattice Stabilization: The 73-Resonance and the Mizaan State

Overview This dataset provides the results of a high-fidelity cosmological simulation exploring the non-linear dynamics of a universe dominated by Primordial Black Holes (PBHs). The simulation was executed on NVIDIA Blackwell (B200) hardware at a native resolution of $2560^3$ ($16.7$ billion voxels), pushing the boundaries of current GPU memory architecture to investigate the stabilization of cosmic structures. Scientific Objectives The primary goal of this "Alpha-Run" was to model the transition from primordial chaos to a stabilized geometric lattice, a state referred to in this model as the Mizaan (Balance). The data specifically examines the 73-Resonance, a discrete structural arrangement that emerges at high resolutions, and addresses the "17 cm free fall problem" where traditional General Relativity predictions diverge from lattice-based numerical results. Key Findings Mizaan Stabilization: Numerical confirmation of a stabilized expansion rate ($H_0$), which settled at $\approx 3.79$ after 900 simulation steps, down from an initial high-energy state of $H_0 \approx 41$. Population Metrics: Successful modeling of a stable population of 1.05 billion PBHs ($1,055,602,528$ individual seeds). Geometric Order: Observation of a phase-locked lattice structure that significantly reduces numerical entropy, as evidenced by high compression efficiency (91% deflation) in the final states. Data Contents Visual_Evolution_2560_73Resonance.mp4: A 2.5K high-definition video rendering of the 2D vorticity map across 9 major checkpoints (Steps 0–800). Telemetry_H0_PBH_Logs.csv: Time-series telemetry containing the step count, Hubble parameter ($H_0$), and total PBH population. Raw_Slices_2560_Checkpoints.zip: A collection of NumPy arrays (.npy) containing raw density values for 2D center-cut slices. Format: Float16; Shape: (2560, 2560). Source Code: Includes Simulation_Engine_Mizaan_V2.py (the core simulation script optimized for B200) and Visualization_Renderer_2.5K.py (the FFmpeg-based rendering pipeline). Technical Specifications Hardware: NVIDIA Blackwell B200 GPU. Resolution: $2560 \times 2560 \times 2560$ (Lattice points). Numerical Precision: Float16 (Half-precision) for optimized memory throughput. Simulation Engine: Custom Python-based engine using NumPy, Threading, and Asynchronous I/O. Usage Note Researchers can utilize the .npy files to perform independent statistical audits or to verify the 17 cm resonance nodes. The 2D slices provide a center-cut through the $2560^3$ volume, offering a statistically representative view of the global 3D lattice structure without the computational overhead of the full volume.