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@article{37788,
author = {Tessarotto, Massimo and Cremaschini, Claudio},
article_number = {4},
doi = {http://dx.doi.org/10.3390/e21040418},
keywords = {covariant quantum gravity; Gaussian solutions; Boltzmann-Shannon entropy; H-theorem},
language = {eng},
issn = {1099-4300},
journal = {Entropy},
title = {Role of Quantum Entropy and Establishment of H-Theorems in the Presence of Graviton Sinks for Manifestly-Covariant Quantum Gravity},
url = {https://www.mdpi.com/1099-4300/21/4/418},
volume = {21},
year = {2019}
}
TY - JOUR
ID - 37788
AU - Tessarotto, Massimo - Cremaschini, Claudio
PY - 2019
TI - Role of Quantum Entropy and Establishment of H-Theorems in the Presence of Graviton Sinks for Manifestly-Covariant Quantum Gravity
JF - Entropy
VL - 21
IS - 4
SP - "418-1"-"418-25"
EP - "418-1"-"418-25"
SN - 10994300
KW - covariant quantum gravity
KW - Gaussian solutions
KW - Boltzmann-Shannon entropy
KW - H-theorem
UR - https://www.mdpi.com/1099-4300/21/4/418
L2 - https://www.mdpi.com/1099-4300/21/4/418
N2 - Based on the introduction of a suitable quantum functional, identified here with the Boltzmann-Shannon entropy, entropic properties of the quantum gravitational field are investigated in the framework of manifestly-covariant quantum gravity theory. In particular, focus is given to gravitational quantum states in a background de Sitter space-time, with the addition of possible quantum non-unitarity effects modeled in terms of an effective quantum graviton sink localized near the de Sitter event horizon. The theory of manifestly-covariant quantum gravity developed accordingly is shown to retain its emergent-gravity features, which are recovered when the generalized-Lagrangian-path formalism is adopted, yielding a stochastic trajectory-based representation of the quantum wave equation. This permits the analytic determination of the quantum probability density function associated with the quantum gravity state, represented in terms of a generally dynamically-evolving shifted Gaussian function. As an application, the study of the entropic properties of quantum gravity is developed and the conditions for the existence of a local H-theorem or, alternatively, of a constant H-theorem are established.
ER -
TESSAROTTO, Massimo a Claudio CREMASCHINI. Role of Quantum Entropy and Establishment of H-Theorems in the Presence of Graviton Sinks for Manifestly-Covariant Quantum Gravity. \textit{Entropy}. 2019, roč.~21, č.~4, s.~''418-1''-''418-25'', 25 s. ISSN~1099-4300. Dostupné z: https://dx.doi.org/10.3390/e21040418.
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