Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory
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 ch...
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| Format: | Article |
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MDPI AG
2023-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/5/1112 |
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| author | Claudio Cremaschini Massimo Tessarotto |
| author_facet | Claudio Cremaschini Massimo Tessarotto |
| author_sort | Claudio Cremaschini |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-11T03:16:46Z |
| format | Article |
| id | doaj.art-cc5fff6c90fc420aa032b6341ac898cf |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T03:16:46Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-cc5fff6c90fc420aa032b6341ac898cf2023-11-18T03:31:06ZengMDPI AGSymmetry2073-89942023-05-01155111210.3390/sym15051112Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity TheoryClaudio Cremaschini0Massimo Tessarotto1Research Center for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo Nám. 13, CZ-74601 Opava, Czech RepublicResearch Center for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo Nám. 13, CZ-74601 Opava, Czech RepublicThe 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.https://www.mdpi.com/2073-8994/15/5/1112quantum gravitybackground independenceemergent space-timestochastic quantum gravitymanifest covariance |
| spellingShingle | Claudio Cremaschini Massimo Tessarotto Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory Symmetry quantum gravity background independence emergent space-time stochastic quantum gravity manifest covariance |
| title | Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory |
| title_full | Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory |
| title_fullStr | Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory |
| title_full_unstemmed | Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory |
| title_short | Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory |
| title_sort | statistical formulation of background independence in manifestly covariant quantum gravity theory |
| topic | quantum gravity background independence emergent space-time stochastic quantum gravity manifest covariance |
| url | https://www.mdpi.com/2073-8994/15/5/1112 |
| work_keys_str_mv | AT claudiocremaschini statisticalformulationofbackgroundindependenceinmanifestlycovariantquantumgravitytheory AT massimotessarotto statisticalformulationofbackgroundindependenceinmanifestlycovariantquantumgravitytheory |