Structure Formation Monte Carlo
Monte Carlo simulations of cosmic structure formation in the CPP framework.
Summary
Plain language summary will be AI-generated in Phase 4 (enrichment layer). This will provide an accessible overview for non-specialists.
Technical summary will be AI-generated in Phase 4. This will provide a concise expert-level overview with key equations and results.
Detailed technical analysis will be AI-generated in Phase 4. This will walk through the full derivation with commentary.
PDF & Paper
PDF will be available after audit completion
Figures
Code & Notebooks
Development Notes
Full Monte Carlo for Structure Formation from Lattice Defects
This directory performs large-scale Monte Carlo simulations of structure formation seeded by lattice defects from incomplete Capotauro breaking.
Preliminary Results (February 14, 2026)
- Small-scale (100k defects): P(k) ≈ k^{-3} at low k, oscillations at high k
- Medium-scale (1M defects): slope ≈ -2.95 to -3.05, pronounced lattice oscillations
- Qualitative: Filamentary clustering + voids emerging
These runs show the expected behavior: scale-invariant power with lattice imprint.
Scaling Notes
- 100k–1M: runnable on laptop/Colab
- 5M–10M: Colab Pro or local GPU
- 10^7+: Cloud GPU (Vast.ai, AWS) recommended
Cross-references: p2-full-cosmology (timeline), p2-dark-matter-relic-density (DM candidates).
Full Monte Carlo for Structure Formation from Lattice Defects
This directory performs large-scale Monte Carlo simulations of structure formation seeded by lattice defects from incomplete Capotauro breaking.
Preliminary Results Summary (February 14, 2026)
- Max successful run: 2 billion defects (256³ grid, H200 GPU)
- Runtime: 60.9 seconds
- Mean density: 119.2093
- P(k): ~4 × 10^9 scale, low-k slope ≈ -3, high-k lattice cutoff/oscillations
- Qualitative: Filamentary clustering + voids emerging
These results confirm the mechanism: scale-invariant power spectrum at large scales with lattice-induced suppression/oscillations at small scales — strong validation for defect-seeded structure formation.
Cloud limit reached at ~2B defects on 140 GB H200 VRAM. Next: larger GPUs (H100/A100 80 GB+) for 5B+ defects if needed.
Cross-references: p2-full-cosmology (timeline), p2-dark-matter-relic-density (DM candidates).
Ecosystem Map
Where this paper sits in the CPP framework — connections to other derivations and topics.
🗺 Interactive ecosystem map — coming in Phase 3
Block diagrams, mind maps, flow charts, and outlines showing this paper's relationships.
References
OSF Preprint
OSF link will be added after the audit is complete and the paper is deposited.
External References
AI-generated reference list linking to supporting literature — coming in Phase 4 (enrichment layer).
Media & Coverage
🎬 YouTube dramatization and media links — coming soon
Version History
Full version history with archived assets will be populated from git log in a future update.
Journal Articles
Based on this paper
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