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Violations of the Born Rule in the Black Hole

Faber, T. (2017) Violations of the Born Rule in the Black Hole. Master's Thesis / Essay, Physics.

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Abstract

In this master thesis we explore the possibility of violations of the Born rule postulate in the vicinity of the black hole. We introduce the black hole information paradox and review the recent development in the firewall discussion. In the second part we introduce a thought experiment in the framework of AdS/CFT. We formulate a conflict between quantum entanglement and typicality. An exploration of this conflict by D. Marolf and J. Polchinski in 2015 [15] has resulted into the conclusion that 'non-excited' black hole states could not be dual to typical CFT states without violating the Born rule. In this thesis we try to get more insight into the matter and explicitly quantify the statements made. By computing correlation function on the eternal BTZ black hole in 2+1 dimensions, we find violations of the Born rule to be immeasurable, indicating there would be a possibility for non-excited black holes to be dual to typical CFT states.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Physics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:34
Last Modified: 15 Feb 2018 08:34
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/16329

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