https://github.com/flyingrobots/aion-paper-01-warp
AIΩN Foundations Paper I – Recursive Metagraphs: A New Graph-Theoretic Foundation for Deterministic Multiway Computation.
https://github.com/flyingrobots/aion-paper-01-warp
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AIΩN Foundations Paper I – Recursive Metagraphs: A New Graph-Theoretic Foundation for Deterministic Multiway Computation.
- Host: GitHub
- URL: https://github.com/flyingrobots/aion-paper-01-warp
- Owner: flyingrobots
- License: other
- Created: 2025-12-05T17:24:08.000Z (7 months ago)
- Default Branch: main
- Last Pushed: 2025-12-12T09:02:04.000Z (7 months ago)
- Last Synced: 2025-12-13T06:41:16.935Z (7 months ago)
- Language: TeX
- Size: 324 KB
- Stars: 0
- Watchers: 0
- Forks: 0
- Open Issues: 0
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Metadata Files:
- Readme: README.md
- License: LICENSE
- Zenodo: .zenodo.json
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README
# AIΩN Foundations — Paper I
## WARP Graphs: A Worldline Algebra for Recursive Provenance
| | | |
|--|--|--|
| **DOI** | `10.5281/zenodo.17908005` | [](https://doi.org/10.5281/zenodo.17908005) |
**James Ross**
*Independent Researcher*
ORCID: [0009-0006-0025-7801](https://orcid.org/0009-0006-0025-7801)
License: CC BY 4.0
December 2025
---
## Overview
This repository contains the LaTeX source, figures, and compiled PDF for **Paper I** of the _AIΩN Foundations Series_.
The paper introduces **WARP graphs (Worldline Algebra for Recursive Provenance)** — a recursively defined **graph-of-graphs** object built from finitely nested typed open graphs. WARP graphs serve as the foundational state representation for the AIΩN computer, enabling deterministic multiway computation, holographic provenance, and worldline-level reasoning.
**Paper I establishes the object.**
Subsequent papers develop semantics, dynamics, and ethical implications on top of this foundation.
Specifically, Paper I develops:
- A formal inductive definition of WARP graphs
- An initial-algebra characterisation
- Morphisms, recursion principles, and depth/unfoldings
- Embeddings of ordinary graphs and hypergraphs
- The attachment / skeleton decomposition
- The category $WARP$
This paper is intended to be the canonical reference for the WARP graph construction.
## Repository Contents
- `paper/main.tex` — Primary LaTeX manuscript
- `paper/macros.tex` — Command and notation definitions
- `paper/diagrams.tex` — TikZ diagrams and global styles
- `paper/refs.bib` — Bibliography
- `paper/figures/` — Diagram assets
- `pdf/` — Compiled PDF (release artifact)
## Build Instructions
### Requirements
- TeXLive or MiKTeX
- latexmk (recommended)
### Build
```bash
make
```
The compiled paper will appear in `./pdf/`.
## AIΩN Foundations Series
This paper is the first of a six-paper foundational series:
1. **WARP Graphs: A Worldline Algebra for Recursive Provenance** *(this repository)*
2. [*WARP Graphs: Canonical State Evolution and Deterministic Worldlines*](https://github.com/flyingrobots/aion-paper-02-worldlines)
3. *WARP Graphs: Computational Holography & Provenance Payloads*
4. *WARP Graphs: Rulial Distance & Observer Geometry*
5. *WARP Graphs: Ethics of Deterministic Replay & Provenance Sovereignty*
6. *The AIΩN Computer: Architecture & OS (JITOS)*
## License
**This repository contains only the Paper I manuscript**, figures, compiled PDF, and documentation.
© 2025 James Ross.
Licensed under **Creative Commons Attribution 4.0 (CC BY 4.0).**
See [`LICENSE`](./LICENSE) for details.
The 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**.
## More on AIΩN
For updates and related projects, see the main AIΩN repository:
[https://github.com/flyingrobots/aion](https://github.com/flyingrobots/aion)