Black Hole Uncertainties

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, Changes: Additions to acknowledgements and references

Scientific paper

10.1142/S0217732393001653

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 which is very similar to the so called string uncertainty relation.

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