https://doi.org/10.1140/epjc/s10052-019-7232-3
Regular Article - Theoretical Physics
Extended uncertainty principle for rindler and cosmological horizons
1
Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451, Szczecin, Poland
2
National Centre for Nuclear Research, Andrzeja Sołtana 7, 05-400, Otwock, Poland
3
Copernicus Center for Interdisciplinary Studies, Szczepańska 1/5, 31-011, Kraków, Poland
* e-mail: mariusz.dabrowski@usz.edu.pl
Received:
14
July
2019
Accepted:
14
August
2019
Published online:
27
August
2019
We find exact formulas for the Extended Uncertainty Principle (EUP) for the Rindler and Friedmann horizons and show that they can be expanded to obtain asymptotic forms known from the previous literature. We calculate the corrections to Hawking temperature and Bekenstein entropy of a black hole in the universe due to Rindler and Friedmann horizons. The effect of the EUP is similar to the canonical corrections of thermal fluctuations and so it rises the entropy signalling further loss of information.
© The Author(s), 2019
