Published April 13, 2026 | Version 1

Evolution as a Constrained Generative System: Structural Derivation of Evolutionary Necessity from Three Axioms

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We derive the structural properties of evolution from the three axioms of constrained generative systems without presupposing biological theory. The evolutionary pixel is the ordered pair (rep₁, rep₂) of consecutive replicative acts: the first configuration in which a difference becomes classifiable as heritable under a finite constraint L (heritability compatible with lineage continuity). The consumption type is T3, the regime R2. Evolution is intrinsically multi-family: three Q-readings (E/Q21 conservation, G/Q28 compression, F/Q20 directionality) are simultaneously active, a structural necessity, not a biological accident. The derivation establishes that uniform randomness of variation is structurally excluded by Axiom 3 (observable iteration): in a trajectory-consumptive system, classification is history-dependent, and identical variations receive different classifications depending on the accumulated lineage. The fact that DNA instantiates three Q-families simultaneously is not a biological accident but a structural necessity derivable from the axioms. Nineteenth verified domain.

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References
Preprint: 10.5281/zenodo.19456785 (DOI)
Preprint: 10.5281/zenodo.19456836 (DOI)

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