First-Classness yields a unique 64 → 20 genetic code: a group-theoretic derivation

This record deposits the manuscript “First-Classness yields a unique 64→20 genetic code: a group-theoretic derivation” (Douglas J. Huntington Moore), together with the accompanying analysis materials used to generate the reported figures and statistics. The paper derives the genetic code’s degeneracy spectrum from a symmetry constraint termed First-Classness (FC): no entity, position, or relation may be intrinsically privileged. Imposing FC on the four dispositional generators {ε, η, i, j} forces a unique partition of the 64 triplets into orbits of sizes 1, 2, 3, 4, and 6. Under the Rosetta mapping of these generators to the nucleotide bases {A, U, G, C}, this orbit structure reproduces the universal code’s synonymous-family sizes and identifies special singleton roles for AUG and UGG (with GGG as a further structural anchor within the construction). The empirical component tests FC-implied balance conditions against large-scale codon-usage data, including RefSeq-based species tables spanning 70,950 genomes (aggregating approximately 1.4 million coding sequences), and additional cross-checks against alternative databases and variant-code cases (notably ciliate variants). The deposited software package contains scripts for orbit enumeration, statistical analysis, and figure generation, along with the processed codon-usage tables and the corresponding outputs, enabling direct reproduction of the paper’s key plots (orbit distributions, sixfold fine-structure comparisons, and variant-code validation). If you are packaging only the manuscript (without the software/data), delete the second and third paragraphs and retain only the first paragraph plus a single sentence stating: “This record contains the manuscript only.”