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This paper advances theoretical frameworks for quantum information retrieval in charged black holes by extending protocols to type III von Neumann factors within Quantum Field Theory. The work connects the statistical dimension of superselection sectors to thermodynamic interpretations, offering new insights into charge quantization during evaporation processes. While deeply rooted in high-energy physics and mathematical theory, its core contribution lies at the intersection of quantum information science and fundamental theoretical limits.

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A QFT information protocol for charged black holes

arXivJuly 31, 20262 min read

arXiv:2602.10733v4 Announce Type: replace-cross Abstract: A generalization for the quantum information retrieval protocol recently illustrated by Verlinde and van der Heijden for evaporating black holes is provided to inclusions of type III von Neumann factors. The physical interest of such scenario arises in Quantum Field Theory, where local algebras are type III von Neumann algebras. The formula obtained can be easily interpreted in terms of the statistical dimension of superselection sectors in the case of black holes undergoing charge evaporation, thanks to the index-statistics theorem, leading to a thermodynamic interpretation. A constraint on the values of the index leads to a final remark about the quantization of the charge emitted by the black hole during the evaporation process.

Abstract:A generalization for the quantum information retrieval protocol recently illustrated by Verlinde and van der Heijden for evaporating black holes is provided to inclusions of type III von Neumann factors. The physical interest of such scenario arises in Quantum Field Theory, where local algebras are type III von Neumann algebras. The formula obtained can be easily interpreted in terms of the statistical dimension of superselection sectors in the case of black holes undergoing charge evaporation, thanks to the index-statistics theorem, leading to a thermodynamic interpretation. A constraint on the values of the index leads to a final remark about the quantization of the charge emitted by the black hole during the evaporation process.

arXiv:2602.10733 [hep-th]

(or arXiv:2602.10733v4 [hep-th] for this version)

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