Liu-Ordis Capacity Law: Chaos, Order, and the Resolution of the AGI Path Debate 刘氏容量定律:混沌、秩序与AGI路径之争的终结 (The Liu-Ordis Framework v2.0) Creator: Liu, JianYu (L) ═══════════════════════════════════════════════════════════════ SCIENTIFIC ABSTRACT ═══════════════════════════════════════════════════════════════ We present the Liu-Ordis Capacity Law, a fundamental information-theoretic constraint governing emergent intelligence in multi-agent systems. Through 1000+ controlled experiments with Guardian V7 dual-loop controller, we demonstrate that the December 2025 AGI debate between Demis Hassabis (DeepMind) and Yann LeCun was a false dichotomy. We also resolve the 45-year "chaos vs order" debate in complexity science. CORE FINDING: Both "scaling" and "depth" strategies, both "chaos" and "order", operate on the SAME conservation surface. The true constraint is topological. This is not philosophy. This is quantitative physics with 0.33 → trust network percolation failure • AUC-ROC: 0.857 【SEVEN-PHASE MODEL】 • Frozen / Crystal / Superfluid / Liquid / Pathological / Chaos / Zombie • Crystal = survival without cooperation • Superfluid = optimal civilization state ═══════════════════════════════════════════════════════════════ FROM PHILOSOPHY TO PHYSICS ═══════════════════════════════════════════════════════════════ 【BEFORE LIU-ORDIS (1980-2025)】 • "Emergence happens at the edge of chaos" (qualitative) • "Self-organization creates order" (metaphorical) • "Life balances between order and chaos" (poetic) • NO FORMULA. NO PREDICTION. NO ENGINEERING. 【AFTER LIU-ORDIS (2025-)】 • √(H × N) = √N_cap (quantitative) • C = 13.53 ± 0.93 (measurable constant) • Seven phases with exact boundaries (predictive) • Guardian V7 controller (engineerable) Complexity science finally has its E = mc². ═══════════════════════════════════════════════════════════════ VALIDATION EVIDENCE ═══════════════════════════════════════════════════════════════ 【MULTI-AI CROSS-VALIDATION】 • GPT-5, Claude, Gemini independent verification • Strong consensus on core constants • Four-AI joint audit completed 【STATISTICAL EVIDENCE】 • 1000+ seeds across experiments • 14,334 tick-level observations for capacity law • p-value < 0.001 for critical findings 【TOPOLOGY VERIFICATION】 • Three N_cap groups tested • C scales with √N_cap (R² = 0.976) • Resource-independence confirmed ═══════════════════════════════════════════════════════════════ METHODOLOGY & SYSTEM ═══════════════════════════════════════════════════════════════ 【ORDIS LIQUID UNIVERSE ENGINE】 • Version: V3.6.85 • Architecture: Genesis Trinity (Womb/Playground/Tool) • Guardian V7: Dual-loop constraint controller • GPU-accelerated simulation platform 【EXPERIMENTAL DESIGN】 • E2: Topology verification (N_cap variation) • E4: Resource independence test • Guardian V7 A/B: Controller effectiveness • All seeds: 5000 steps, controlled conditions ═══════════════════════════════════════════════════════════════ INCLUDED FILES ═══════════════════════════════════════════════════════════════ • Liu-Ordis_Verdict_on_AGI_Debate.pdf (English) • figures/ - fig1_seed44_lazarus_resurrection.png - fig2_v7_ab_comparison.png - fig3_liu_ordis_capacity_law.png • data/ - signoff_V7_ON.csv - signoff_V7_OFF.csv - showcase_seeds/ (selected examples) ═══════════════════════════════════════════════════════════════ PRIORITY CLAIM ═══════════════════════════════════════════════════════════════ This document establishes PRIORITY for: ★ Liu-Ordis Capacity Law: √(H × N) = C = √N_cap ★ Liu-Ordis Information Capacity (LOIC): I = H + ln(N) + G ★ Resolution of the 45-year Chaos vs Order debate ★ The AGI Verdict: Scaling and Depth are the same constraint ★ Seven-Phase Model of Emergent Intelligence ★ Guardian V7 Dual-Loop Controller methodology All subsequent work using these concepts MUST cite this document. ═══════════════════════════════════════════════════════════════ LICENSE & CITATION ═══════════════════════════════════════════════════════════════ License: Creative Commons Attribution No Derivatives 4.0 International Implementation of Guardian V7 controller remains PROPRIETARY. Published formulas are sufficient for verification, not reverse-engineering. Suggested Citation: Liu, J. (2025). Liu-Ordis Capacity Law: Chaos, Order, and the Resolution of the AGI Path Debate. Zenodo. DOI: [pending] ═══════════════════════════════════════════════════════════════ KEYWORDS: Liu-Ordis Law, Capacity Law, AGI Debate, Chaos and Order, Edge of Chaos, Langton, Kauffman, Hassabis, LeCun, Scaling vs Depth, Information Conservation, Emergent Intelligence, Seven-Phase Model, Guardian V7, Gini Threshold, Multi-Agent Systems, Digital Civilization, Ordis Engine, Topology, LOIC, Phase Transitions, Complexity Science