CREMASCHINI, Claudio and Massimo TESSAROTTO. Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory. SYMMETRY-BASEL. Švýcarsko, 2023, vol. 15, No 5, p. "1112-1"-"1112-15", 15 pp. ISSN 2073-8994. Available from: https://dx.doi.org/10.3390/sym15051112.
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Basic information
Original name Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory
Authors CREMASCHINI, Claudio (380 Italy, belonging to the institution) and Massimo TESSAROTTO (380 Italy, belonging to the institution).
Edition SYMMETRY-BASEL, Švýcarsko, 2023, 2073-8994.
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/47813059:19630/23:A0000296
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.3390/sym15051112
UT WoS 000997287400001
Keywords in English background independence; emergent space-time; manifest covariance; quantum gravity; stochastic quantum gravity
Tags RIV24, UF
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 19/1/2024 09:28.
Abstract
The notion of background independence is a distinguished feature that should characterize the conceptual foundation of any physically-acceptable theory of quantum gravity. It states that the structure of the space-time continuum described by classical General Relativity should possess an emergent character, namely, that it should arise from the quantum-dynamical gravitational field. In this paper, the above issue is addressed in the framework of manifestly-covariant quantum gravity theory. Accordingly, a statistical formulation of background independence is provided, consistent with the principle of manifest covariance. In particular, it is shown that the classical background metric tensor determining the geometric properties of space-time can be expressed consistently in terms of a suitable statistical average of the stochastic quantum gravitational field tensor. As an application, a particular realization of background independence is shown to hold for analytical Gaussian solutions of the quantum probability density function.
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