This Complete Formalism formalizes the CF000 root branch beneath CF00 at the level of the staged route 0D -> 1D -> 2D. It treats H000 as the proposal-grade antecedent and turns the admissible portion of that root architecture into theorem-bearing closure at this stage. It classifies the only admissible primitive origin, excludes terminal discharge into absolute nullity and absolute undifferentiated totality, derives the first non-flat invariant-bearing articulation, closes higher-resolution admission and recursive restatement, derives the first pre-metric orthogonal rotation, and closes the second orthogonal rotation into 2D. What is primitive here is only the terminal poles, their opposition, realizability discipline, flatness discipline, and the one-origin invariant frame. Geometry, locality, carrier structure, QGT, metric structure, Laplacian structure, and differentiability are not primitive here and are not proven here.

The decisive result of CF000 is that the invariant cannot be terminally satisfied within the currently admitted axis of articulation. Once lawful expression within that axis is exhausted, terminal discharge is still impossible, so an orthogonal re-articulation into a new domain is forced. The 1D->2D instance of that logic is the closure of this document. That second orthogonal rotation is the first point at which algebra is licensed.