Emergent Halo Structure from the Primordial Wave Equation

This dataset contains the full image and data outputs of the Entanglement Compression Theory (ECT) Primordial Wave Equation Stage-1 simulation. It includes a series of PNG frames sampled across the evolution of Ψ(x,y,t), the final ψ snapshot in NumPy format, and the complete Python scripts used to generate the simulation and video sequence. The Stage-1 model evolves a two dimensional oscillatory amplitude field using a Strang split implementation of the Primordial Wave Equation with real compression, iħ ∂tΨ = (−αd Δ + V + β ℂ[Ψ]) Ψ , where the compression functional uses smoothed logarithmic curvature terms. The simulation demonstrates early halo emergence and the transition from initial asymmetry to a stable oscillatory density structure. All parameters, asymmetry amplitudes, ellipticity factors, and numerical tolerances are included for full reproducibility. The dataset is intended as a reference implementation of the PWE evolution used in ECT and serves as the canonical input for later Stage-3 and Stage-4 dark-halo simulations. The accompanying PDF provides a detailed description of the initial conditions, algorithmic method, sampling schedule, and file contents. This release is part of the Compression Theory Institute’s effort to provide reproducible numerical references for the Primordial Wave Equation, including baseline halo formation under deterministic compression dynamics.