Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F23%3AA0000296" target="_blank" >RIV/47813059:19630/23:A0000296 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2073-8994/15/5/1112" target="_blank" >https://www.mdpi.com/2073-8994/15/5/1112</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/sym15051112" target="_blank" >10.3390/sym15051112</a>
Alternative languages
Result language
angličtina
Original language name
Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SYMMETRY-BASEL
ISSN
2073-8994
e-ISSN
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Volume of the periodical
15
Issue of the periodical within the volume
5
Country of publishing house
CH - SWITZERLAND
Number of pages
15
Pages from-to
„1112-1“-„1112-15“
UT code for WoS article
000997287400001
EID of the result in the Scopus database
2-s2.0-85160552044