Reveals the degeneracy pattern of the genetic code, indicating a novel mathematical approach.
First-Classness yields the redundancy architecture of the universal genetic code This deposit contains the paper, supplementary information, and constructive verification package for the derivation of the genetic code's degeneracy pattern from First-Classness (FC). The paper shows that imposing FC — the requirement that no entity, position, or relation be intrinsically privileged — on a four-element dispositional algebra forces a unique partition of the 64 codons into synonymous families of sizes 1, 2, 3, 4, and 6, reproducing the complete degeneracy pattern of the universal genetic code without biological input. The two singletons (AUG, UGG) are identified within the algebra as conformal singularities; the three stop codons emerge as the structural residue of coding closure. The 61/3 sense/stop split is derived, not assumed. Files First-Classness_yields_the_redundancy_architecture_of_the_universal_genetic_code_v2_revised.pdf— Main paper. Supplementary_Information_v2_revised.pdf — Supplementary Information: formal definitions, extended proof details, conformal completion theory, complete family table, Rosetta mapping, constructive verification documentation, and hexagonal closure note. fc_redundancy_verification_package.zip — Constructive verification package (Python, 3 files). A biologically sterile core script (fc_redundancy_family_core.py) constructs the 21 codon families from FC closure rules alone, with no amino acid names or biological labels. A separate alignment checker (fc_redundancy_check_alignment.py) then compares the constructed families, codon by codon, against the universal genetic code (NCBI translation table 1). Requires Python 3.6+; no external libraries. See README.md inside the archive for workflow.
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Douglas Joseph Huntington Moore (2026) studied this question.
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