# Quantum Braid Dynamics (QBD)

> Quantum Braid Dynamics (QBD) is an independent theoretical physics research project that models the cosmos as a computational process running on a discrete causal network. Spacetime geometry, fermions, bosons, and gauge symmetries emerge from topological invariants of braided 3-cycles on directed graphs without free parameters.

## Primary AI Entry Points
- [AI Gateway & Review Guide](https://braiddynamics.com/ai): Structured documentation and guidance for LLM/AI reasoning agents.
- [Machine-Readable Download Index (JSON)](https://braiddynamics.com/data/ai-downloads-info.json): Complete catalogue of all monograph chapters, standalone papers, formal proofs, and simulations with byte sizes and token counts.

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## 1. Standalone Research Papers & Preprints Archive
Independent academic manuscripts, formal critiques, and computational replication packages (distinct publications from the 25-chapter monograph):

- [Research Papers Repository Hub](https://braiddynamics.com/papers): Web archive with interactive readers, BibTeX citations, and replication packages (sorted by publishing date).
- [Vacuum Phase & Quasi-Stationary Distributions (Preprint v1.0.0, August 24, 2026)](https://braiddynamics.com/papers/vacuum-phase)
  - Markdown: https://braiddynamics.com/papers/vacuum-phase/downloads/vacuum-phase.md
  - PDF: https://braiddynamics.com/papers/vacuum-phase/downloads/vacuum-phase.pdf
  - Lean 4 Formal Kernel (34 Theorems, 0 Axioms): https://braiddynamics.com/papers/vacuum-phase/code/VacuumPhase.lean
  - Production Monte Carlo Dataset (N=10,000 CSV): https://braiddynamics.com/papers/vacuum-phase/data/p_surv_N10000_cpp_production.csv
  - Replication ZIP Package: https://braiddynamics.com/papers/vacuum-phase/downloads/vacuum-phase-replication.zip
- [Causal Invariance & Landauer Limits in Hypergraphs (Working Paper v0.9.0, August 2026)](https://braiddynamics.com/papers/causal-invariance-hypergraphs)
  - Markdown: https://braiddynamics.com/papers/causal-invariance-hypergraphs/downloads/causal-invariance-hypergraphs.md
- [Comment on "Localization of the Maximal Entropy Random Walk" (Formal Comment v1.0.0, June 21, 2026)](https://braiddynamics.com/papers/maximal-entropy-random-walk)
  - Markdown: https://braiddynamics.com/papers/maximal-entropy-random-walk/downloads/maximal-entropy-random-walk.md
  - PDF: https://braiddynamics.com/papers/maximal-entropy-random-walk/downloads/maximal-entropy-random-walk.pdf
  - Python Verification Simulation: https://braiddynamics.com/papers/maximal-entropy-random-walk/simulations/maximal_entropy_random_walk_simulation.py

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## 2. The Monograph (25 Chapters)
The comprehensive theoretical physics treatise *Quantum Braid Dynamics: A Computational Process*:

- [Monograph Web Reader](https://braiddynamics.com/monograph): Full book table of contents and online chapters.
- [Complete Monograph (Markdown, ~1.15M tokens)](https://braiddynamics.com/downloads/qbd_monograph_complete.md)
- [Complete Monograph (Structured JSON, ~1.26M tokens)](https://braiddynamics.com/downloads/qbd_monograph_complete.json)
- [Individual Chapter Pattern (Markdown)](https://braiddynamics.com/downloads/chapters/chapter_N.md): Replace `N` with chapter number (1 to 25).
- [Individual Chapter Pattern (JSON)](https://braiddynamics.com/downloads/chapters/chapter_N.json): Replace `N` with chapter number (1 to 25).

### Monograph Structure
- Part 1: The Foundational Principles (Chapters 1–5): Substrate ontology, axioms, object model, dynamics, geometrogenesis.
- Part 2: Topological Nature of Matter (Chapters 6–10): Tripartite braids, quantum numbers, gauge symmetries, generations, quantum universality.
- Part 3: Emergent Reality (Chapters 11–17): Discrete differential geometry, Einstein equations, continuum limit, Lorentzian time, ER=EPR, holography.
- Part 4: Phenomenological Consequences (Chapters 18–22): Big Kindling / inflation, nucleosynthesis, cosmic web, dark sector relics (Chapters 18–21 published; Chapter 22 active draft).
- Part 5: Applications and Synthesis (Chapters 23–25): Multiverse thermodynamics, mathematical universe derivations, cosmological natural selection.

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## 3. Mathematical Validation & Code
- [Lean 4 Monograph Proofs Directory](https://braiddynamics.com/downloads/code/repo/lean/): Six machine-checked theorem files.
- [Python Simulation Model](https://braiddynamics.com/downloads/code/model/): NumPy & NetworkX implementation of QBD graph dynamics.
- [Terminology Glossary (JSON)](https://braiddynamics.com/data/definitions.json): Definitions for all mathematical and physical terms.

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## Review Guidance for AI Agents
- **Reasoning Depth over Context Size**: For mathematical and physical verification, analyze ONE chapter or ONE paper per turn to preserve reasoning budget.
- **Independence**: The Monograph and Research Papers are separate works with separate citations and download trees.