A Complete Correlation Analysis of the Four Objects in GDUM

The four objects—the pre-geometric genealogy of gauge symmetry groups (§4.4), the black hole–accretion disk system, the intrinsic properties of the electron, and cosmic filaments—share the same underlying primitive and are rooted in the three-layer architecture of the GDUM program: · Program layer: only Z₂ = {id, C} (two-leaf involution); no spacetime, no matter, no manifold; the Deck transformation (leaf exchange) is the global primitive operation. · Computation layer: the twoeaf covering yields the S⁰ seed → suspension/bundling generates the gauge group structures; the-l 0-dimensional Euler spiral operator (a purely algebraic–topological operator encoding complex phase and topological winding flux W_K, occupying no spacetime and having no geometric size). · Representation layer: the readout functor projects the topological phase/winding flux of the computation layer into representation spacetime; the total fiber space and the base manifold M are generated simultaneously.