Topological Refolding: A Unitary Resolution to the Black Hole Information Paradox

The Black Hole Information Paradox represents a fundamental tension between quantum unitarity and the geometric classicality of General Relativity. In this work, we present a non-dualistic theoretical framework where physical phenomena are not entities evolving within an independent background, but inherent expressions of an indivisible, coherent dynamic (O). Original Coherence (O) is not a static container or a separate substrate, but the continuous unfolding and refolding pulse itself. We model physical observables through unobserved quantum potential fields (A ∈ HA) and their observed classical manifestations (ρT ∈ HT ). By formalizing classical states as continuous reduced projections of the potential field (PKˆ (A) = ρT ), we demonstrate that gravitational collapse is an extreme region where discrete observation breaks down. Under the continuous action of the global, strictly unitary Information Folding Operator Ufolding, the observed state ρT is unitarily recognized as the fundamental potential A within the pulse of O. We derive the resulting Page curve, establish global von Neumann entropy conservation, and resolve the Firewall Paradox without violating the equivalence principle.