[Depreciated and replaced by V3] There Is No Nothing: How the No-Zero Axiom Forces a Universe That Cannot Be Empty

[Depreciated and replaced by V3] This pre-V3 paper is replaced by the corresponding V3 clean-room reconstruction: There Is No Nothing: A Premise-Free Operational Foundation and an Open Verification Platform for Smithian Fold Theory; From Nothing to Fold: A Premise-Free, Parameter-Free and Machine-Closed Foundation for Smithian Fold Theory. The V3 source platform is https://github.com/MettaMazza/ernos-labs-sft-platform. The original DOI, concept DOI, version number and files are preserved for transparent historical provenance; this record must not be presented or cited as current V3 work. One axiom. One operation. Zero free parameters. Most of physics is built on the real line, which contains zero. The Smithian Fold is built on a domain that excludes it: every magnitude lives on (0,1], zero is forbidden. This paper draws out what that one axiom forces. Because there is no zero, there is a positive floor — a smallest realized magnitude — and so: the vacuum energy sits at the floor (cosmological constant 2⁻²⁰, positive, the 10¹²⁰ catastrophe dissolved); the lowest excitation of a confining sector sits at the floor (Yang-Mills mass gap 1/3, no massless soft mode); the matter residue after annihilation is forced positive (so matter exists); a fluid cascade cannot concentrate onto a sub-floor scale (Navier-Stokes does not blow up); the critical exponents classical theory sets to zero sit at the floor. The No-Zero axiom forces a universe that cannot be empty, cannot be silent, cannot collapse to a point. Existence is a theorem. 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