The Number Game That Ends at One: Collatz as a Fold Contraction by the Ratio 3/4

One axiom. One operation. Zero free parameters. The Collatz conjecture — even, halve; odd, triple-plus-one; repeat — is the simplest unsolved problem in mathematics. This paper gives the fold’s reading: the descent is a contraction. The Collatz map is pure doubling and halving, the fold’s home. Even numbers are transient (halving is the fold’s decay step); an odd number takes 3n+1, always even, so it is immediately halved, and one odd-even pair multiplies the number by (3/2)×(1/2) = 3/4 — exactly (m−1)/m at m=4, the fold’s four-fork branching ratio (the same 3/4 as Kleiber’s metabolic law). Because 3/4 < 1, every odd-even pair contracts, driving orbits down to the only loop, 1→4→2→1, the floor of this map. The descent is forced by the fold ratio below the One; the engine confirms every orbit up to a large bound falls to 1. 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