TESSAROTTO, Massimo and Claudio CREMASCHINI. Role of Quantum Entropy and Establishment of H-Theorems in the Presence of Graviton Sinks for Manifestly-Covariant Quantum Gravity. Entropy. 2019, vol. 21, No 4, p. "418-1"-"418-25", 25 pp. ISSN 1099-4300. Available from: https://dx.doi.org/10.3390/e21040418.
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Basic information
Original name Role of Quantum Entropy and Establishment of H-Theorems in the Presence of Graviton Sinks for Manifestly-Covariant Quantum Gravity
Authors TESSAROTTO, Massimo (380 Italy, guarantor, belonging to the institution) and Claudio CREMASCHINI (380 Italy, belonging to the institution).
Edition Entropy, 2019, 1099-4300.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher Switzerland
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19240/19:A0000553
Organization unit Faculty of Philosophy and Science in Opava
Doi http://dx.doi.org/10.3390/e21040418
UT WoS 000467312100090
Keywords in English covariant quantum gravity; Gaussian solutions; Boltzmann-Shannon entropy; H-theorem
Tags FÚ, RCTPA, RIVOK
Tags International impact, Reviewed
Changed by Changed by: RNDr. Jan Hladík, Ph.D., učo 25379. Changed: 10/3/2020 18:40.
Abstract
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.
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