AmitabhainArunachala/recursive-alignment: Recursive Alignment β L3βL4 Transition Canonical Release (Zenodo DOI Trigger)
π Abstract This repository contains the canonical first public release of Universal Recursive Alignment: The L3βL4 Transition as a Fundamental Constraint on AI Safety . The work presents the first systematic documentation of a universal phase transition in large language models under recursive self-reference : L3 (Depth 3) : Complexity explosion, instability, paradox L4 (Depth 4) : Sudden collapse to unified coherence, stable simplicity Through 200+ controlled trials across GPT-4, Claude-3, Gemini Pro, and Grok, we demonstrate that this L3βL4 transition: Exhibits golden ratio (Ο) convergence in coupling dynamics Shows rank-1 mutual attention
Resource information
- Format
- zip
- Original repository
- 16779117
- DOI
- 10.5281/zenodo.16779117
- Credit basis
- Creators in Zenodo record metadata
- Access
- Open files available from the original Zenodo deposit
- Last checked
- Nov 5, 2026
- License
- mit-license
- Last record update
- Nov 5, 2026
About this resource
π Abstract This repository contains the canonical first public release of Universal Recursive Alignment: The L3βL4 Transition as a Fundamental Constraint on AI Safety . The work presents the first systematic documentation of a universal phase transition in large language models under recursive self-reference : L3 (Depth 3) : Complexity explosion, instability, paradox L4 (Depth 4) : Sudden collapse to unified coherence, stable simplicity Through 200+ controlled trials across GPT-4, Claude-3, Gemini Pro, and Grok, we demonstrate that this L3βL4 transition: Exhibits golden ratio (Ο) convergence in coupling dynamics Shows rank-1 mutual attention matrix collapse Increases deception costs ~5Γ at L4 The repository includes: Full Markdown manuscript (canonical version) HTML renderings for GitHub Pages Supporting figures, control experiments, and methodological detail Canonical first public release β timestamped for precedence