https://github.com/flyingrobots/aion-paper-05-dynamics
AIΩN Foundations Paper V – WARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems
https://github.com/flyingrobots/aion-paper-05-dynamics
Last synced: 5 months ago
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AIΩN Foundations Paper V – WARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems
- Host: GitHub
- URL: https://github.com/flyingrobots/aion-paper-05-dynamics
- Owner: flyingrobots
- License: other
- Created: 2026-01-04T16:04:20.000Z (6 months ago)
- Default Branch: main
- Last Pushed: 2026-01-04T20:26:13.000Z (6 months ago)
- Last Synced: 2026-01-13T19:48:52.435Z (6 months ago)
- Language: TeX
- Size: 546 KB
- Stars: 0
- Watchers: 0
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
- Zenodo: .zenodo.json
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README
# AIΩN Foundations — Paper V
## WARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems
| | | |
|--|--|--|
| **DOI** | `10.5281/zenodo.18146884` | [](https://doi.org/10.5281/zenodo.18146884) |
### Front Matter
WARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems
James Ross (ORCID: [0009-0006-0025-7801](https://orcid.org/0009-0006-0025-7801))
Independent Researcher
AIΩN Foundations Series — Paper V
January 2026
---
## Overview
This repository contains the LaTeX source and compiled PDF for Paper V of the AIΩN Foundations Series.
Paper V introduces the dynamical principle of the AIΩN framework, completing the transition from kinematics to dynamics. It equips deterministic rewrite systems with a local action functional and complex amplitude measure, deriving quantum-like interference, unitarity, and Schrödinger-type evolution as emergent phenomena under observer-induced projection. The paper proves that unitarity arises from local reversibility, action antisymmetry, and branch conservation, and establishes a continuum approximation yielding a Quantum Cellular Automaton interpretation.
---
## Contents
- `paper/main.tex` — Primary LaTeX manuscript (Paper V)
- `paper/aion.cls` — AIΩN Foundations class file
- `paper/macros.tex` — Notation and helper macros
- `paper/diagrams.tex` — TikZ diagrams and global styles
- `paper/refs.bib` — Bibliography
- `Makefile` — Convenience build (latexmk + jobname/output directory)
- `pdf/` — Compiled PDF + LaTeX build artifacts
---
## Build Instructions
Requires:
- TeX Live or MiKTeX
- `latexmk` recommended (used by the Makefile)
Build from the repo root with:
```bash
make
```
Clean + rebuild:
```bash
make clean
make
```
The compiled paper appears in `./pdf/` as `aion-paper-05-dynamics.pdf`.
---
## AIΩN Foundations Series
This paper is part of a six-paper foundational series:
1. [WARP Graphs: A Worldline Algebra for Recursive Provenance](https://github.com/flyingrobots/aion-paper-01-warp)
2. [WARP Graphs: Canonical State Evolution and Deterministic Worldlines](https://github.com/flyingrobots/aion-paper-02-worldlines)
3. [WARP Graphs: Computational Holography & Provenance Payloads](https://github.com/flyingrobots/aion-paper-03-holography)
4. [WARP Graphs: Rulial Distance & Observer Geometry](https://github.com/flyingrobots/aion-paper-04-observer-geometry)
5. **WARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems *(this repo)***
6. WARP Graphs: Ethics of Deterministic Replay & Provenance Sovereignty
7. The AIΩN Computer: Architecture & OS (JITOS)
---
## License
This repository contains the Paper V manuscript, figures, compiled PDF, and documentation. These materials are © 2026 James Ross and licensed under **Creative Commons Attribution 4.0 (CC BY 4.0)**; see `LICENSE` for details.
The AIΩN Runtime and associated software projects referenced by the paper are *not* part of this repository; they live in separate repositories under their own licenses.
---
## More on AIΩN
For updates, see the main AIΩN repository:
[github.com/flyingrobots/aion](https://github.com/flyingrobots/aion)