A Cogenetic Proof of Yang–Mills Existence and the Mass Gap

Version 1.0 of A Cogenetic Proof of Yang-Mills Existence and the Mass Gap presents a process-first derivation addressing the Yang-Mills existence and mass-gap problem for every compact simple gauge group.The proof begins from the Cogenetic process relation and derives the classical field, Euclidean, reconstruction and spectral registrars downstream. Its invariant carrier is the reciprocal transport of contextual field distinction and measurement magnitude. Plural nonzero coherence minima and plural locally resolved coherence maxima determine the expressed distinction at each finite context and resolution. Refinement changes the distinction coordinate and resolving magnitude together while preserving their physical product.Exact conditional-response normalisation incorporates environmental response into each subsequent registration. Compatible gauge-invariant finite registrations are transported into a non-trivial, reflection-positive Euclidean field state. Osterwalder-Schrader reconstruction then yields the physical Hilbert space, vacuum and positive Hamiltonian. Transport of the same invariant carrier gives uniform Hamiltonian coercivity and excludes spectrum from the open interval between the vacuum-energy accounting value and the positive mass scale.The deposit includes the Version 1.0 PDF and TeX source, bibliography, machine-readable citation metadata, complete claim inventory, executable finite-identity and manuscript-contract verification scripts, and the generated validation report. The release validation suite passes all 20 checks.