Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism
General Relativity and Quantum Cosmology
2018-04-24 v2 High Energy Physics - Theory
Abstract
In the Jacobson formalism general relativity is obtained from thermodynamics. This is done by using the Bekenstein-Hawking entropy-area relation. However, as a black holes will gets smaller, its temperature will increase. This will cause the thermal fluctuations to also increase, and these will in turn correct the Bekenstein-Hawking entropy-area relation. Furthermore, with the reduction in the size of the black hole, quantum effects will also start to dominate. Just as the general relativity can be obtained from thermodynamics in the Jacobson formalism, we propose that the quantum fluctuations to the geometry can be obtained from thermal fluctuations.
Keywords
Cite
@article{arxiv.1710.06918,
title = {Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism},
author = {Mir Faizal and Amani Ashour and Mohammad Alcheikh and Lina Al Asfar and Salwa Alsaleh and Ahmed Mahroussah},
journal= {arXiv preprint arXiv:1710.06918},
year = {2018}
}
Comments
9 pages, 3 figues. Publsihed in EPJC, author's affiliation corrected