Earth and Sky: Climate Tipping, Earthquakes, Cosmic Bursts, and Black-Hole Ringdown as One Fold Structure

One axiom. One operation. Zero free parameters. Four phenomena from four sciences turn out to be one fold structure. A climate tipping point is a threshold crossing of the fold’s lock at the half-One — discrete and irreversible, not a smooth slide. An earthquake is a self-organized-critical fold-avalanche whose magnitude-frequency law is the unit power law (Gutenberg-Richter b=1), the same as solar flares; timing scale-free, size distribution forced. A fast-radio or gamma-ray burst is an atomic fold-release — a stored fold-orbit unbinding in one all-or-nothing step (the fold is 2-to-1), so a sharp brief flash; the brevity is the atomicity. A black-hole ringdown is a damped fold oscillation: the perturbed horizon folds toward unison with the amplitude halving each cycle (1/2, 1/4, 1/8, ...), the quasinormal decay set by the half-One. Tipping, quakes, bursts, ringdown — earth and sky — are four readings of the same fold. 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