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This work presents a unified framework identifying a convergent organizational architecture across biological, computational, physical, and civilizational systems. We formalize a five-stage cyclical process (Encode → Build → Verify → Repair → Replicate) observed independently in DNA replication, machine learning training loops, software development, and institutional governance. We propose that this convergence arises not from shared mechanism but from shared information-theoretic constraints — specifically, the requirements of reliable encoding and error correction in noisy channels. The framework introduces several novel constructs: the Architectura Unica, a five-component structural pattern (Fons, Proliferatio, Differentia, Cohaerentia, Persistentia) demonstrated across six non-biological evidence domains; the Fons Constraint, a rate-distortion derivation explaining why independent systems converge on encoding depths near 2⁶ = 64; the Differentia-Cohaerentia uncertainty relation, a proposed fundamental tradeoff between environmental specialization and source-coherence; and the Persistence Asymmetry, a physically grounded claim that the universe exhibits structural bias toward the persistence of order, derived from the Bekenstein-Hawking theorem and Standard Model particle stability. Twenty-four progressive conjectures ("Stakes") develop the framework from molecular biology through consciousness, information theory, and speculative extensions into quantum mechanics. Falsification criteria are provided for all major claims. Prior work by Campbell (BVSR), Deacon (Incomplete Nature), Kauffman (self-organization), and Friston (Free Energy Principle) is engaged, with specific novel contributions identified beyond each predecessor. This is a pre-publication restricted manuscript. Contact the authors for access. Keywords: anti-entropy, convergent evolution, information theory, rate-distortion theory, cross-substrate architecture, organized complexity, Fons Constraint, error correction, Bekenstein-Hawking, consciousness