Yang-Mills five-paper arc inside the Clay series
Companion III: Reconstruction, Non-Triviality, and Faithful-Wilson Universality
This document provides the complete proof home for the endpoint packet of the Yang-Mills mass-gap argument. It establishes, in fully explicit theorem-level form: the Euclidean Osterwalder-Schrader (OS) dossier for the sharp-local theory, the OS/Wightman reconstruction and Haag-Kastler local net , the field correspondence between constructed observables and local quantum fields, the Minkowski vacuum spectral gap transfer , non-triviality of the theory (nonzero spectral weight) , and the exact bounded-region local...