Aion holography

.github/workflows/build-papers.yml

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+name: Build LaTeX Papers
+
+'on':
+  push:
+    branches: [main, master]
+  pull_request:
+    branches: [main, master]
+  release:
+    types: [created]
+
+jobs:
+  build-holography:
+    runs-on: ubuntu-latest
+
+    steps:
+    - name: Checkout repository
+      uses: actions/checkout@v4
+
+    - name: Compile LaTeX (aion-holography)
+      uses: xu-cheng/latex-action@v3
+      with:
+        working_directory: aion-holography
+        root_file: main.tex
+        latexmk_use_xelatex: false
+        args: -pdf -interaction=nonstopmode -halt-on-error
+
+    - name: Upload PDF as artifact
+      uses: actions/upload-artifact@v4
+      with:
+        name: holography-paper-pdf
+        path: aion-holography/main.pdf
+        retention-days: 30
+
+    - name: Rename PDF for release
+      if: github.event_name == 'release'
+      run: |
+        cd aion-holography
+        cp main.pdf computational-holography-rmg.pdf
+
+    - name: Upload PDF to release
+      if: github.event_name == 'release'
+      uses: softprops/action-gh-release@v2
+      with:
+        files: aion-holography/computational-holography-rmg.pdf

.gitignore

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+# Obsidian vault configuration
+.obsidian/
+
+# Custom ignored directory
+ignored/
+
+# LaTeX build artifacts
+*.aux
+*.log
+*.out
+*.toc
+*.lof
+*.lot
+*.fls
+*.fdb_latexmk
+*.synctex.gz
+*.synctex.gz(busy)
+*.bbl
+*.blg
+*.bcf
+*.run.xml
+*.idx
+*.ilg
+*.ind
+*.nav
+*.snm
+*.vrb
+*.dvi
+*.ps
+*.pdf
+*.xdv
+
+# LaTeX temporary files
+*.acn
+*.acr
+*.alg
+*.glg
+*.glo
+*.gls
+*.glsdefs
+*.ist
+*.loa
+*.lol
+*.ptc
+*.tdo
+*.upa
+*.upb
+*.cb
+*.cb2
+.*.lb
+
+# LaTeX intermediate files
+*-blx.aux
+*-blx.bib
+*.auxlock
+*.bak
+*.sav
+*.end
+
+# Build directories
+build/
+dist/
+out/
+output/
+
+# Editor files
+*~
+*.swp
+*.swo
+*.kate-swp
+.DS_Store
+.vscode/
+.idea/
+
+# OS files
+Thumbs.db
+Desktop.ini

README.md

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+# AIΩN Protocol Papers
+
+This repository contains technical papers for the AIΩN Protocol.
+
+## Current Papers
+
+### Computational Holography for Recursive Metagraphs
+
+*Deterministic Concurrency, Provenance Encoding, and Rulial Distance*
+
+Location: `aion-holography/`
+
+## Abstract
+
+We define Recursive Metagraphs (RMGs)—graph structures where nodes and edges recursively carry subgraphs—and give them a deterministic concurrent operational semantics using Double Pushout (DPO) graph rewriting in adhesive categories.
+
+The **computational holography theorem** shows that the entire interior evolution of a computation can be encoded on a "boundary": an initial state $S_0$ together with a provenance payload $P$. This boundary data is information-complete, enabling full reconstruction of the derivation volume on demand.
+
+Key results include:
+- **Tick-level confluence**: parallel independent rewrites commute
+- **Two-plane commutation**: attachment and skeleton updates are order-independent
+- **Rulial distance**: an MDL-based pseudometric on observers
+
+This forms the mathematical foundation of the AIΩN Protocol.
+
+---
+
+**Additional papers coming soon**, including:
+- The AIΩN CΩMPUTER: machine model and operational semantics
+- Glass-box AI cognition and multiverse debugging
+- Practical implementations and case studies
+
+## Building the Papers
+
+### Automated Builds (CI/CD)
+
+Every push to `main` automatically builds all papers via GitHub Actions. The compiled PDFs are available as:
+- **Artifacts** on each commit (30-day retention)
+- **Release assets** when you create a tagged release
+
+To create a release with PDF:
+
+```bash
+git tag -a v1.0 -m "Release v1.0"
+git push origin v1.0
+# Then create release on GitHub
+```
+
+### Local Build
+
+#### Prerequisites
+
+- A working LaTeX installation (TeX Live 2023+ recommended)
+- Standard packages: `amsmath`, `tikz`, `amsthm`, `enumitem`, `cleveref`
+
+#### Compile
+
+```bash
+cd aion-holography
+make
+```
+
+This produces `main.pdf` in the `aion-holography/` directory.
+
+To clean build artifacts:
+
+```bash
+make clean
+```
+
+**Note**: PDFs are gitignored (standard practice). Use CI artifacts or local builds to access compiled papers.
+
+## Repository Structure
+
+```text
+aion/
+├── README.md             # This file
+└── aion-holography/
+    ├── main.tex          # Document root
+    ├── macros.tex        # Custom commands and theorem environments
+    ├── references.bib    # Bibliography
+    ├── Makefile
+    └── sections/
+        ├── intro.tex
+        ├── rmg.tex
+        ├── dpo_rmg.tex
+        ├── determinism_confluence.tex
+        ├── holography.tex
+        ├── wormholes.tex
+        ├── rulial_distance.tex
+        ├── multiway_ruliad.tex
+        └── discussion.tex
+```
+
+## Key Concepts
+
+### Recursive Metagraphs
+
+A graph where every node and edge can carry an attached subgraph, recursively. Formally:
+
+```math
+\mathcal{U} = (G; \alpha, \beta)
+```
+
+where $G$ is a skeleton graph and $\alpha$, $\beta$ attach RMGs to nodes and edges.
+
+### Wormholes
+
+A **wormhole** $(S_0, P)$ consists of:
+- An initial RMG state $S_0$
+- A provenance payload $P = (\mu_0, \dots, \mu_{n-1})$ recording microsteps
+
+The **volume** is the full derivation $S_0 \Rightarrow \cdots \Rightarrow S_n$.
+The **boundary** is just the pair $(S_0, P)$.
+
+**Computational holography** proves these are equivalent: the boundary encodes the volume.
+
+### Rulial Distance
+
+An MDL-based metric $D_{\tau,m}(O_1, O_2)$ measuring how complex it is to translate between two observers' views of the same computation. Gives geometry to "observer space" in the Ruliad.
+
+## Citation
+
+```bibtex
+@misc{RossHolography2025,
+  author = {James Ross},
+  title  = {Computational Holography for Recursive Metagraphs},
+  year   = {2025},
+  note   = {AIΩN Protocol Technical Report}
+}
+```
+
+## Related Work
+
+This paper builds on:
+- **Algebraic graph rewriting**: Ehrig et al., Lack & Sobociński (adhesive categories)
+- **Multiway systems**: Wolfram's Physics Project and the Ruliad
+- **Minimum Description Length**: Rissanen's MDL principle
+
+The companion paper "The AIΩN CΩMPUTER" applies these results to build a practical computational architecture with glass-box provenance and multiverse debugging.
+
+## License
+
+Copyright © 2025 James Ross. All rights reserved.
+
+---
+
+*Pronounced "eye-ON" (rhymes with aeon).*

aion-holography/Makefile

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+# Simple Makefile for the Computational Holography monograph
+
+TEX     = pdflatex
+BIB     = bibtex
+MAIN    = main
+
+.PHONY: all clean distclean
+
+all: $(MAIN).pdf
+
+$(MAIN).pdf: $(MAIN).tex sections/*.tex macros.tex references.bib
+	$(TEX) $(MAIN)
+	$(BIB) $(MAIN)
+	$(TEX) $(MAIN)
+	$(TEX) $(MAIN)
+
+clean:
+	@if [ -f $(MAIN).tex ]; then \
+		rm -f $(MAIN).aux $(MAIN).bbl $(MAIN).blg $(MAIN).log \
+			$(MAIN).out $(MAIN).toc $(MAIN).lof $(MAIN).lot; \
+	fi
+
+distclean: clean
+	rm -f $(MAIN).pdf