{"id":35587128,"url":"https://github.com/flyingrobots/aion-paper-05-dynamics","last_synced_at":"2026-02-20T17:13:14.916Z","repository":{"id":332409772,"uuid":"1127797329","full_name":"flyingrobots/aion-paper-05-dynamics","owner":"flyingrobots","description":"AIΩN Foundations Paper V – WARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems","archived":false,"fork":false,"pushed_at":"2026-01-04T20:26:13.000Z","size":559,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":0,"default_branch":"main","last_synced_at":"2026-01-13T19:48:52.435Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":null,"language":"TeX","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"other","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/flyingrobots.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":".zenodo.json","notice":null,"maintainers":null,"copyright":null,"agents":null,"dco":null,"cla":null}},"created_at":"2026-01-04T16:04:20.000Z","updated_at":"2026-01-04T20:24:45.000Z","dependencies_parsed_at":null,"dependency_job_id":null,"html_url":"https://github.com/flyingrobots/aion-paper-05-dynamics","commit_stats":null,"previous_names":["flyingrobots/aion-paper-05-dynamics"],"tags_count":2,"template":false,"template_full_name":null,"purl":"pkg:github/flyingrobots/aion-paper-05-dynamics","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/flyingrobots%2Faion-paper-05-dynamics","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/flyingrobots%2Faion-paper-05-dynamics/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/flyingrobots%2Faion-paper-05-dynamics/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/flyingrobots%2Faion-paper-05-dynamics/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/flyingrobots","download_url":"https://codeload.github.com/flyingrobots/aion-paper-05-dynamics/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/flyingrobots%2Faion-paper-05-dynamics/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":29658176,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-02-20T16:33:43.953Z","status":"ssl_error","status_checked_at":"2026-02-20T16:33:43.598Z","response_time":59,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.5:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":[],"created_at":"2026-01-04T22:13:07.853Z","updated_at":"2026-02-20T17:13:14.911Z","avatar_url":"https://github.com/flyingrobots.png","language":"TeX","funding_links":[],"categories":[],"sub_categories":[],"readme":"# AIΩN Foundations — Paper V\n\n## WARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems\n\n|  |  |  |\n|--|--|--|\n| **DOI** | `10.5281/zenodo.18146884` | [![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.18146884.svg)](https://doi.org/10.5281/zenodo.18146884) |\n\n### Front Matter\n\nWARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems  \nJames Ross (ORCID: [0009-0006-0025-7801](https://orcid.org/0009-0006-0025-7801))  \nIndependent Researcher  \nAIΩN Foundations Series — Paper V  \nJanuary 2026  \n\n---\n\n## Overview\n\nThis repository contains the LaTeX source and compiled PDF for Paper V of the AIΩN Foundations Series.\n\nPaper 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.\n\n---\n\n## Contents\n\n- `paper/main.tex` — Primary LaTeX manuscript (Paper V)\n- `paper/aion.cls` — AIΩN Foundations class file\n- `paper/macros.tex` — Notation and helper macros\n- `paper/diagrams.tex` — TikZ diagrams and global styles\n- `paper/refs.bib` — Bibliography\n- `Makefile` — Convenience build (latexmk + jobname/output directory)\n- `pdf/` — Compiled PDF + LaTeX build artifacts\n\n---\n\n## Build Instructions\n\nRequires:\n- TeX Live or MiKTeX\n- `latexmk` recommended (used by the Makefile)\n\nBuild from the repo root with:\n\n```bash\nmake\n```\n\nClean + rebuild:\n\n```bash\nmake clean\nmake\n```\n\nThe compiled paper appears in `./pdf/` as `aion-paper-05-dynamics.pdf`.\n\n---\n\n## AIΩN Foundations Series\n\nThis paper is part of a six-paper foundational series:\n\n1. [WARP Graphs: A Worldline Algebra for Recursive Provenance](https://github.com/flyingrobots/aion-paper-01-warp)\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](https://github.com/flyingrobots/aion-paper-03-holography)\n4. [WARP Graphs: Rulial Distance \u0026 Observer Geometry](https://github.com/flyingrobots/aion-paper-04-observer-geometry)\n5. **WARP Graphs: Emergent Dynamics from Deterministic Rewrite Systems *(this repo)***\n6. WARP Graphs: Ethics of Deterministic Replay \u0026 Provenance Sovereignty\n7. The AIΩN Computer: Architecture \u0026 OS (JITOS)\n\n---\n\n## License\n\nThis 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.\n\nThe 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.\n\n---\n\n## More on AIΩN\n\nFor updates, see the main AIΩN repository:\n[github.com/flyingrobots/aion](https://github.com/flyingrobots/aion)\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fflyingrobots%2Faion-paper-05-dynamics","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fflyingrobots%2Faion-paper-05-dynamics","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fflyingrobots%2Faion-paper-05-dynamics/lists"}