Nuclei from Geometric Stage in Charlton Geometry: A Regulator-Composition Route to p–n Mechanics

Charlton Geometry (CG) treats nuclear identity as a composition obligation imposed by a lossy macrochannel, not as an imported force law. The prior Ontological Filter stage selects a unique regular regulator chassis: the 24-cell (the D4 regulator) as the only silent, double-cover–locked, collision-free template admissible on the E4 stage. This paper asks the next question: given that admissible regulators are 24-facet templates, how can multiple such templates compose into stable nuclei? We answer with three movements. Movement 1 (Identity Partition) derives a three-sector facet labeling of the 24 octahedral facets into 3 congruent 8-facet families. The partition is treated as a quotient-consistency requirement: in a non-invertible macrostate, composable identity must remain re-identifiable under the vacuum transports already present at the regulator stage. Movement 2 (Hook and Socket) defines Proton and Neutron as polarized holonomy presenters of the same 8-facet sector: the Proton is an active/open boundary condition (a Hook that exports a permissible attachment), while the Neutron is a passive/closed boundary condition (a Socket that absorbs and phase-locks attachment). Movement 3 (Hopf-Linkage Threading) replaces an explicit “strong force” with topological linkage: the p–n bond is modeled as Hopf threading between compatible facet cycles, with binding governed by a linkage functional anchored in classical knot topology. The resulting picture is minimal but nontrivial: nucleons are not primitives added to the stage; they are macro-identities of the 24-cell regulator under allowed polarization and linkage. We close with falsifiers and with obligations required to render the linkage functional quantitatively predictive.