J 2019

Role of Quantum Entropy and Establishment of H-Theorems in the Presence of Graviton Sinks for Manifestly-Covariant Quantum Gravity

TESSAROTTO, Massimo and Claudio CREMASCHINI

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10308 Astronomy

Country of publisher

Switzerland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19240/19:A0000553

Organization unit

Faculty of Philosophy and Science in Opava

UT WoS

000467312100090

Keywords in English

covariant quantum gravity; Gaussian solutions; Boltzmann-Shannon entropy; H-theorem

Tags

Tags

International impact, Reviewed
Změněno: 10/3/2020 18:40, RNDr. Jan Hladík, Ph.D.

Abstract

V originále

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.