Yang-Mills five-paper arc inside the Clay series
Companion I: Ultraviolet Gate and Route 1 Mass-Gap Chain
This document provides the complete proof home for the ultraviolet/public-scope gate and the Route 1 lattice-to-continuum mass-gap chain used in the main manuscript. It establishes the full lattice-side burden of the Yang-Mills mass-gap argument, including: the compact-simple ultraviolet gate (A1 input and group-scope closure), the one-shot entrance theorem into the KP/Dobrushin contraction regime, the same-scale Wilson-to-patched transport theorem , the finite-depth transport control and de-patching stability ,...