UDEL Simulations Mapped to Empirical Evidence
This page connects runnable lattice simulations (pure UDEL rules: nodes, dynamic adjacency, hop transitions, Δτ-layer fracture) to the observational claims and tensions on the Empirical Evidence page.
Phenomena emerge directly — finite black hole cores, Hawking-like flux, dark-matter-like shell ratios, accelerated expansion, collimated jets, binary BH mergers — without continuum fields or parameters.
Code, CSVs, and archives are public for verification and extension.
Phenomena emerge directly — finite black hole cores, Hawking-like flux, dark-matter-like shell ratios, accelerated expansion, collimated jets, binary BH mergers — without continuum fields or parameters.
Code, CSVs, and archives are public for verification and extension.
Simulation → Evidence Mapping
| Simulation | Key Emergent Features | Linked Evidence Row | Run Highlights | Code / CSV / Archive | Falsifier Note |
|---|---|---|---|---|---|
| UDEL Black Hole Collapse v2 Chapter 8 core demo |
• Finite saturated core (no singularity) • Thick Δt-divergence horizon • Area-law entropy via boundary edges • Persistent outward flux (Hawking-like shear leakage) • Conserved total energy • Growing BH_entropy & flux_out |
Black Hole Singularity (finite core vs GR divergence) |
Core saturates rapidly (num_saturated → hundreds), horizon thickens (num_horizon → 100s–1000s), entropy grows ~ boundary edges, net flux_out appears and increases. |
Code: Full Python (N=15,000 nodes, 400 steps) CSV: udel_bh_collapse_v2_stats.csv Tracks: total_E, entropy, num_saturated, num_horizon, BH_entropy, flux_out, peak_shell, c_eff Animation: inferno energy, cyan horizon, black saturated core Archive: View Folder |
Flux/entropy scaling inconsistent with observed Hawking T ∝ 1/M or area-law → constrains saturation & shear |
| Full UDEL Genesis Zero-matrix bootstrap + Δτ fracture |
• Zero-energy seed → motif shells • Temporal fracture → 5:1 invisible:visible ratio • Growing adjacency radius → accelerated expansion • Variable c_eff early → stabilization late • Early rapid clustering (dense adjacency) |
Dark Matter (shell gravity leaks) Dark Energy/Acceleration (vacuum baseline + R growth) JWST Early Galaxies (accelerated early structure) Inflation Proliferation (no inflaton needed) |
Energy clones into sister layers → dark shells form. r_mean grows acceleratingly (H_eff > 0). c_eff fluctuates early, stabilizes. Early dense adjacency drives fast shell/clustering. |
Code: Full Python (N=15,000 nodes, 400 steps, 7 layers) CSV: udel_stats_full.csv Tracks: total_E, R_adj, entropy, r_mean, peak_shell, c_eff, H_eff, shell energies Animation: inferno energy (sum over layers) Archive: View Folder |
No dark-like shell ratio, no late acceleration, or no early rapid clustering if fracture or R_growth removed → constrains Δτ mechanics and vacuum baseline |
| UDEL Galaxy – Multi-slice BH + Disk (Jet v7) Δτ-curvature anisotropy (exp(8×|cos θ|)) |
• Finite BH core + horizon (visible slice) • NFW-like halo from slice summation • Collimated polar jets via exponential axis bias • High jet_contrast (polar vs equatorial) • Bulk gravity from hidden slices (~85%) • Rotating BH + thin visible disk |
Dark Matter (NFW geometry from slices) Black Hole Singularity (finite core) |
Visible slice shows rotating BH + disk → saturated core → horizon. Exponential Δτ anisotropy forces polar outflows → high jet_contrast. Bulk gravity from hidden slices produces NFW-like profile. |
Code: Full Python (N=20,000 nodes, 600 steps, 7 slices) CSV: udel_galaxy_multislice_jets_stats.csv Tracks: E_visible, num_horizon, BH_entropy, flux_out, jet_contrast, jet_polar_E, jet_equator_E, hor_aspect Animation: visible-slice energy (inferno), cyan horizon, white jet zones Archive: View Folder |
No collimation (jet_contrast ≈ 1) or NFW-like halo if anisotropy removed or slices decoupled → constrains Δτ-curvature & bulk gravity |
| Binary UDEL Black Holes (Horizon Merger v1) Dual seeded cores + merger dynamics |
• Two finite saturated cores (no singularities) • Independent horizons form (cyan/magenta) → merge/interact • Per-BH saturated regions & boundary entropy (BH_entropy_1/2) • Global flux_out during merger phase • Cluster stats (sat1/sat2, hor1/hor2) track asymmetric collapse |
Black Hole Singularity (dual finite cores) Black Hole Information (unitary merger via adjacency + boundary leak) |
Two cores collapse independently → horizons emerge and interact. BH_entropy_total grows during merger. Flux_out spikes across global horizon. Animation shows black cores (white/yellow edges), cyan/magenta horizons merging. |
Code: Full Python (N=16,000 nodes, 400 steps) CSV: udel_bh_binary_stats.csv Tracks: total_E, num_saturated_total/1/2, num_horizon_total/1/2, BH_entropy_total/1/2, flux_out, peak_shell, c_eff Animation: inferno energy, cyan/magenta horizons, black cores with white/yellow edges Archive: View Folder |
No horizon interaction or merger-phase flux if cores remain isolated → constrains shared adjacency & saturation dynamics |
How to Verify Yourself
- Copy code into Jupyter/Colab/Python 3 (numpy, matplotlib, scipy required).
- Run
main()→ generates CSV stats + animation window. - Black Hole Collapse v2: saturated core blackens, cyan horizon thickens, flux_out & BH_entropy grow.
- Full Genesis: energy spreads into dark shells, r_mean accelerates (H_eff > 0), outer shells dominate.
- Jet v7: polar outflows emerge (white zones), high jet_contrast, NFW-like shell profile.
- Binary BH Merger v1: two black cores (white/yellow edges) collapse → cyan/magenta horizons merge. CSV shows BH_entropy_total rising, flux_out spiking during interaction.