Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Statistical Formulation of Background Independence in Manifestly-Covariant Quantum Gravity Theory

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

SYMMETRY-BASEL

ISSN

2073-8994

e-ISSN

—

Svazek periodika

15

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

15

Strana od-do

„1112-1“-„1112-15“

Kód UT WoS článku

000997287400001

EID výsledku v databázi Scopus

2-s2.0-85160552044