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February 11, 20260 citationsOpen Access

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

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MSMarcus Schmieke

Key Points

  • This research aims to resolve the black hole information paradox by demonstrating unitarity preservation within the Quantum Blueprint Formalism.
  • Utilized the Quantum Blueprint Formalism (QBF) to analyze spacetime and information dynamics.
  • Identified the event horizon as a projection boundary where projection capacity vanishes.
  • Resolved singularities through the concept of projection failure.
  • Investigated Hawking radiation as information leakage via the projection boundary.
  • Derived predictions for modifications in Hawking radiation and entropy behaviors.
  • Event horizon classified as a projection boundary with no information capacity.
  • Classical singularities explained through projection failure, rendering spacetime undefined there.
  • Hawking radiation identified as a leakage mechanism for pre-coherent information.
  • Predicted non-thermal behavior in Hawking radiation and emergent gravitational echoes.

Abstract

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.

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Cite This Study

Marcus Schmieke (2026) studied this question.

synapsesocial.com/papers/698c1c8e267fb587c655f0afhttps://doi.org/10.5281/zenodo.18552257
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