Topological Flux Closure of All Particles and Cosmic Components in the GDUM Framework

Building on the GDUM programmatic layer—the ℤ₂ double-sheeted conjugation axiom and Axiom 0.4 (topological flux conservation)—together with the computational layer (the 0-dimensional Euler spiral operator, Deck covering transformations, and Pinᶜ(2) fiber geometry), this chapter establishes a unified topological picture: photons, leptons, quarks, dark matter, and dark energy are all differentiated manifestations of the topological residual ΔW emerging in different gauge channels and at different spatial scales. Black holes serve as topological reflux ports that recycle all manifest residuals back to the double-sheeted ontology, forming a self-consistent global topological flux closure. This chapter strictly distinguishes between the evolution of topological primitives at the computational layer and dynamical interactions at the manifest (phenomenological) layer: the closure is a redistribution of topological flux and cross-sheet reflux, not an arbitrary mutual conversion among manifest particles. The coupling boundaries of all manifest components are strictly constrained by the gauge fiber bundle and spatial scale, and are fully consistent in terminology and axiom system with the preceding neutrino chapter, mass theorem chapter, and dark energy chapter.