Information theoretical approach to detecting quantum gravitational corrections

Pourhassan, Behnam; Shi, Xiaoping; Wani, Salman Sajad; Kazemian, Farideh; Sakallı, İzzet; Shah, Naveed Ahmad; Faizal, Mir

Abstract

In this paper, we investigate the scales at which quantum gravitational corrections can be detected in a black hole using information theory. This is done by calculating the Kullback-Leibler divergence for the probability distributions obtained from the Parikh-Wilczek formalism. We observe that as quantum gravitational corrections increase with decrease in scale, the increase the Kullback-Leibler divergence between the original and quantum gravitational corrected probability distributions will also increase. To understand the impact of such quantum gravitational corrections we use Fisher information. We observe that it again increases as we decrease the scale. We obtain these results for higher-dimensional black holes and observe this behavior for Kullback-Leibler divergence and Fisher information also depending on the dimensions of the black hole. Furthermore, we observe that the Fisher information is bounded and approaches a fixed value. Thus, information about the nature of quantum gravitational corrections itself is intrinsically restricted by quantum gravity. Thus, this work establishes an intrinsic epistemic boundary within quantum gravity.

Citation

Pourhassan, B., Shi, X., Wani, S. S., Kazemian, F., Sakallı, İ., Shah, N. A., & Faizal, M. (2025). Information theoretical approach to detecting quantum gravitational corrections. Journal of High Energy Physics, 2025(2), Article 109. https://doi.org/10.1007/jhep02%282025%29109

• Journal Article Type: Article
• Acceptance Date: Jan 16, 2025
• Online Publication Date: Feb 18, 2025
• Publication Date: Feb 18, 2025
• Deposit Date: Mar 19, 2025
• Publicly Available Date: Mar 19, 2025
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2025
• Issue: 2
• Article Number: 109
• DOI: https://doi.org/10.1007/jhep02%282025%29109
• Keywords: Models of Quantum Gravity, Black Holes
• Public URL: https://durham-repository.worktribe.com/output/3557763