The Genetic Code: Why Life Uses Four Bases, Sixty-Four Triplet Codons, and Wobble - the Fold's Covering of Base Four

One axiom. One operation. Zero free parameters. The genetic code uses four bases, read in triplets (64 codons), mapping onto ~20 amino acids with redundancy concentrated in the third base (wobble). Biology calls it a frozen accident. This paper forces it as a fold covering. A base is a two-bit fold pair, so there are 2² = 4 bases. A codon is three bases = six bits, so the codon space is 2⁶ = 4³ = 64. Triplets are forced because two bases cover only 4²=16 < 20 amino acids while three cover 4³=64 ≥ 20 — the minimal base-four covering of the amino-acid set is three, the same minimal-cover counting that fixes the constants. The third base is the least-significant fold position, so codons group by their first two bases into 16 boxes, and the third-base wobble degeneracy is the fold’s lowest rung folding to the same image — exactly how 64 codons pack into ~20 amino acids. Machine-checked; reproduces from one command. A standalone result within the Smithian Fold Theory of Everything (SFTOE). Full corpus, code, and the run-it-yourself VERIFY.md protocol: https://github.com/MettaMazza/Smithian-Fold-Theory