Published June 2, 2026 | Version v3
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Sarah McAree Mary's Law: The Five Irreducible Mathematical Primitives for Universal Trustless Digital Permanence

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I present Sarah McAree Mary's Law, which establishes that exactly five mathematical primitives constitute the irreducible minimum required for any computational system that converts real-world events into permanent, trustless digital records. Through comprehensive information-theoretic analysis and formal mathematical proofs, I demonstrate that these five primitives—(1) Cryptographic State Transitions, (2) Distributed Consensus, (3) Immutable Timestamp Binding, (4) Cryptographic Integrity Chains, and (5) Policy Execution Mathematics—are both necessary and sufficient for achieving trustless digital permanence across all possible input domains. This work establishes the fundamental mathematical laws governing all digital infrastructure requiring trustless permanence, including central bank digital currencies, blockchain networks, government systems, and IoT networks.

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