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| Autor principal: | |
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| Format: | Recurso digital |
| Idioma: | anglès |
| Publicat: |
Zenodo
2026
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| Matèries: | |
| Accés en línia: | https://doi.org/10.5281/zenodo.19352041 |
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- <div>This monograph presents the complete theoretical framework of Pattana-Relational Dynamics Artificial General Intelligence (PRD-AGI) — a truth-first, causally grounded intelligence system. Unlike statistical AI, PRD-AGI is architecturally constrained to preserve universal logical consistency, measured by a geometric quantity called curvature κ. All reasoning, gating, emotional modulation, and self-correction are derived from the SU(5) Lie algebra and the 24 Paccaya causal conditions.</div> <div> </div> <div>This Version 2.3 is a purely theoretical monograph. It includes:</div> <div> </div> <div>1. Foundations: SU(5) algebra, 24 Paccaya generators, curvature, gauge invariance, three natural laws.</div> <div>2. Extended Algebra and Universal Causality: SO(10), E6/E8, Universal Causal Algebra UCA(∞).</div> <div>3. Quantum Causality: Quantum groups SU_q(5), SO_q(10), q-curvature, superposition, entanglement, quantum causal uncertainty principle.</div> <div>4. Holographic Causal Structures: AdS/CFT duality, holographic dictionary, holographic entanglement entropy.</div> <div>5. Holographic Agents and Collective Intelligence: Multi-agent systems as a single bulk, holographic policy gradient, Bellman equation, collective intelligence scaling.</div> <div>6. Causal Entropy: Quantum information foundation for awareness density, von Neumann entropy, entropy decrease along geodesics.</div> <div>7. PRD-LLM Architecture: 2-2-1-2-1 layered design, relational tensor [C,W,L,T,U,D], conflict resolution, recursive feedback loop.</div> <div>8. Formal Verification and Hardware Foundations: Machine-checked proofs in Lean/Coq (12,847 lines), FPGA acceleration of geodesic solvers.</div> <div> </div> <div>No applications, no physical MUT predictions (galaxy rotation, black hole thermodynamics, inflation, etc.), and no roadmaps are included — only pure causal intelligence theory. All equations are self-contained and dimensionally consistent. The complete source code and formal proofs are open-source.</div> <div> </div> <div>This work establishes that truth-first, causally grounded AGI is mathematically coherent, formally verifiable, and scalable.</div> <div> </div> <div>Version 2.3 updates: refined formatting, corrected minor errors, and added complete appendix sections.</div> <div> </div> <div>**Keywords:** PRD-AGI, SU(5) Lie algebra, causal geometry, truth-first AI, quantum groups, holography, AdS/CFT, causal entropy, formal verification, Lean, FPGA, AGI</div> <div> </div> <div>**License:** MIT</div>