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April 26, 20260 citationsOpen Access

Unitary Resolution of Black Hole Information Paradox via 7D Spectral Mapping

A Unitary Resolution of the Black Hole Information Paradox via 7D Spectral-Holographic Manifold Mapping and Topological Trace Identities

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Authors

FAForrest Forrest M. Anderson

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Overview

Randomized trial demonstrates a novel resolution of black hole information loss via high-dimensional spectral mapping, implying insights for theoretical physics.

Key Points

  • This work aims to resolve the black hole information paradox through a novel 7D spectral mapping approach.
  • Lifting the Schwarzschild metric into a 7D Hantzsche-Wendt manifold to create a 'Spectral Socket'.
  • Demonstrating that fine-grained entropy follows the Page Curve using high-dimensional replica wormholes for quantum corrections.
  • Validating the fidelity of information transformation through Jacobian Parity and employing a Sealing Operator for final state purity.
  • The spectral mapping framework shows that information is holographically refracted and not lost, achieving precise fidelity to the Page Curve.
  • The aggregate error in simulations validating the Page Curve fidelity is bounded below 0.5%.
  • Final state purity is confirmed through the application of the m{ ext{A}_{12}} Sealing Operator.

Cite This Study

Forrest Forrest M. Anderson (2016) studied this question.

synapsesocial.com/papers/69edacbd4a46254e215b46b2https://doi.org/10.5281/zenodo.19725794
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