The Role of the Horizon in the GDUM Framework and Its Relation to Holographic Cosmology

The initial Big-Bang horizon and the black-hole horizon share the same second-order homotopy residual topological structure; the two are an oppositely oriented conjugate configuration under the Deck transformation: · Big-Bang horizon: the interface of outward manifestation, read in the forward orientation from the global two-sheeted covering structure; · Black-hole horizon: the interface of inward convergence, the same topological loop read in the reversed, conjugate orientation. The two are the two bidirectional expressions of one and the same invariant topological structure. Here the horizon carries the topological equivalence relation; no topological entity is created or annihilated — it is simply the forward and reverse oriented expressions of the same topological loop.