BLACK HOLE UNCERTAINTIES
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In this work the quantum theory of two-dimensional dilaton black holes is studied using the Wheeler-De Witt equation. The solutions correspond to wave functions of the black hole. It is found that for an observer inside the horizon, there are uncertainty relations for the black hole mass and a parameter in the metric determining the Hawking flux. Only for a particular value of this parameter can both be known with arbitrary accuracy. In the generic case there is instead a relation that is very similar to the so-called string uncertainty relation.
2005 ◽
Vol 14
(08)
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pp. 1321-1331
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2011 ◽
Vol 20
(10)
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pp. 2003-2007
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2011 ◽
Vol 26
(22)
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pp. 1601-1611
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2019 ◽
Vol 487
(3)
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pp. 3650-3663
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