THE EL-RAKHAWI DOCTRINE OF QUANTUM ALGORITHMIC JURISPRUDENCE: GOVERNING SUPERPOSITION, ENTANGLEMENT, AND HYBRID AI ON SILICON-QUANTUM SUBSTRATES

Abstract

The El-Rakhawi Doctrine of Quantum Algorithmic Jurisprudence presents the first comprehensive legal framework bridging classical legal determinism and quantum computing. It addresses the paradigm shift where quantum AI operates on superposition, entanglement, and probabilistic outcomes. The doctrine introduces five foundational pillars: (1) Distributed Probabilistic Liability, allocating fault based on quantum error rates, strictly conditioned on proven compliance with Quantum Error Correction standards and backed by mandatory liability insurance. (2) The Hybrid Quantum Creative System, maintaining human legal inventorship while enforcing compulsory licensing to prevent knowledge monopolization. (3) Quantum Jurisdictional Unity, treating cross-border entangled networks as indivisible, neutral zones governed by an International Quantum Arbitration Tribunal. (4) The Right to Algorithmic Determinism, mandating Counterfactual Explainability and establishing a strict Quantum Risk Threshold that prohibits pure quantum black boxes in critical life, medical, or financial decisions. (5) Quantum National Security, enforcing a Post-Quantum Cryptography Mandate and Phased Implementation. This framework ensures quantum advancements elevate human justice rather than obscuring it behind probabilistic opacity. DOI: 10.5281/zenodo.23134823.