The Black Hole Information Paradox Dissolved: Projection Boundaries, Hawking Radiation, and the Preservation of PreCoherent Information in the Quantum Blueprint Formalism

The black hole information paradox—the apparent conflict between the unitarity of quantum mechanics and the thermal character of Hawking radiation—has been a central problem in theoretical physics for half a century. This paper demonstrates that the paradox is dissolved within the Quantum Blueprint Formalism (QBF), where spacetime is not fundamental but emerges through projection πΘ: Ms → MΘ from the pre-coherent possibility space Ms to the coherence manifold MΘ. We establish five central results. First (Theorem 3.1): the event horizon is a projection boundary—a surface where the projection capacity vanishes. Second (Theorem 4.1): the classical singularity is resolved as projection failure, where spacetime ceases to be well-defined. Third (Theorem 5.1): Hawking radiation arises as the leakage of pre-coherent information through the projection boundary, driven by the vacuum circulation Ωs that cannot be fully confined. Fourth (Theorem 6.1): the Page curve follows from the bounded compression condition (A3). Fifth (Theorem 7.1): unitarity is always preserved on Ms; the apparent non-unitarity is an artifact of restricting attention to the emergent spacetime. Testable predictions include deviations from exact thermality in Hawking radiation, modified greybody factors, logarithmic entropy corrections, and gravitational echoes from the projection boundary.