Quantum-Wave Equation and Heisenberg Inequalities of Covariant Quantum Gravity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F17%3AA0000014" target="_blank" >RIV/47813059:19240/17:A0000014 - isvavai.cz</a>

Result on the web

<a href="http://www.mdpi.com/1099-4300/19/7/339" target="_blank" >http://www.mdpi.com/1099-4300/19/7/339</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/e19070339" target="_blank" >10.3390/e19070339</a>

Result language

angličtina

Original language name

Quantum-Wave Equation and Heisenberg Inequalities of Covariant Quantum Gravity

Original language description

Key aspects of the manifestly-covariant theory of quantum gravity (Cremaschini and Tessarotto 2015-2017) are investigated. These refer, first, to the establishment of the four-scalar, manifestly-covariant evolution quantum wave equation, denoted as covariant quantum gravity (CQG) wave equation, which advances the quantum state psi associated with a prescribed background space-time. In this paper, the CQG-wave equation is proved to follow at once by means of a Hamilton-Jacobi quantization of the classical variational tensor field g equivalent to {g_(mu nu)} and its conjugate momentum, referred to as (canonical) g-quantization. The same equation is also shown to be variational and to follow from a synchronous variational principle identified here with the quantum Hamilton variational principle. The corresponding quantum hydrodynamic equations are then obtained upon introducing the Madelung representation for psi, which provides an equivalent statistical interpretation of the CQG-wave equation. Finally, the quantum state y is proven to fulfill generalized Heisenberg inequalities, relating the statistical measurement errors of quantum observables. These are shown to be represented in terms of the standard deviations of the metric tensor g equivalent to {g_(mu nu)} and its quantum conjugate momentum operator.

Czech name

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Czech description

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Type

J_imp - 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)

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

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

Name of the periodical

Entropy

ISSN

1099-4300

e-ISSN

—

Volume of the periodical

19

Issue of the periodical within the volume

7

Country of publishing house

CH - SWITZERLAND

Number of pages

20

Pages from-to

'339-1'-'339-20'

UT code for WoS article

000406701500049

EID of the result in the Scopus database

2-s2.0-85022203801