{"id":34599119,"url":"https://github.com/flyingrobots/aion-paper-01-warp","last_synced_at":"2026-03-15T11:02:34.475Z","repository":{"id":328259181,"uuid":"1110764071","full_name":"flyingrobots/aion-paper-01-warp","owner":"flyingrobots","description":"AIΩN Foundations Paper I – Recursive Metagraphs: A New Graph-Theoretic Foundation for Deterministic Multiway Computation. 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WARP graphs serve as the foundational state representation for the AIΩN computer, enabling deterministic multiway computation, holographic provenance, and worldline-level reasoning.\n\n**Paper I establishes the object.**  \nSubsequent papers develop semantics, dynamics, and ethical implications on top of this foundation.\n\nSpecifically, Paper I develops:\n\n- A formal inductive definition of WARP graphs\n- An initial-algebra characterisation\n- Morphisms, recursion principles, and depth/unfoldings\n- Embeddings of ordinary graphs and hypergraphs\n- The attachment / skeleton decomposition\n- The category $WARP$\n\nThis paper is intended to be the canonical reference for the WARP graph construction.\n\n## Repository Contents\n\n- `paper/main.tex` — Primary LaTeX manuscript\n- `paper/macros.tex` — Command and notation definitions\n- `paper/diagrams.tex` — TikZ diagrams and global styles\n- `paper/refs.bib` — Bibliography\n- `paper/figures/` — Diagram assets\n- `pdf/` — Compiled PDF (release artifact)\n\n## Build Instructions\n\n### Requirements\n\n- TeXLive or MiKTeX\n- latexmk (recommended)\n\n### Build\n\n```bash\nmake\n```\n\nThe compiled paper will appear in `./pdf/`.\n\n## AIΩN Foundations Series\n\nThis paper is the first of a six-paper foundational series:\n\n1. **WARP Graphs: A Worldline Algebra for Recursive Provenance** *(this repository)*\n2. [*WARP Graphs: Canonical State Evolution and Deterministic Worldlines*](https://github.com/flyingrobots/aion-paper-02-worldlines)\n3. *WARP Graphs: Computational Holography \u0026 Provenance Payloads*\n4. *WARP Graphs: Rulial Distance \u0026 Observer Geometry*\n5. *WARP Graphs: Ethics of Deterministic Replay \u0026 Provenance Sovereignty*\n6. *The AIΩN Computer: Architecture \u0026 OS (JITOS)*\n\n## License \n\n**This repository contains only the Paper I manuscript**, figures, compiled PDF, and documentation.\n\n© 2025 James Ross.\nLicensed under **Creative Commons Attribution 4.0 (CC BY 4.0).**\nSee [`LICENSE`](./LICENSE) for details.\n\nThe AIΩN runtime and JITOS software projects referenced by the paper are not part of this repository. Those codebases are licensed separately under the **Apache License, Version 2.0**.\n\n## More on AIΩN\n\nFor updates and related projects, see the main AIΩN repository:\n[https://github.com/flyingrobots/aion](https://github.com/flyingrobots/aion)\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fflyingrobots%2Faion-paper-01-warp","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fflyingrobots%2Faion-paper-01-warp","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fflyingrobots%2Faion-paper-01-warp/lists"}