The Heisenberg Indeterminacy Principle in the Context of Covariant Quantum Gravity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F20%3AA0000061" target="_blank" >RIV/47813059:19630/20:A0000061 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/1099-4300/22/11/1209" target="_blank" >https://www.mdpi.com/1099-4300/22/11/1209</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/e22111209" target="_blank" >10.3390/e22111209</a>
Alternative languages
Result language
angličtina
Original language name
The Heisenberg Indeterminacy Principle in the Context of Covariant Quantum Gravity
Original language description
The subject of this paper deals with the mathematical formulation of the Heisenberg Indeterminacy Principle in the framework of Quantum Gravity. The starting point is the establishment of the so-called time-conjugate momentum inequalities holding for non-relativistic and relativistic Quantum Mechanics. The validity of analogous Heisenberg inequalities in quantum gravity, which must be based on strictly physically observable quantities (i.e., necessarily either 4-scalar or 4-vector in nature), is shown to require the adoption of a manifestly covariant and unitary quantum theory of the gravitational field. Based on the prescription of a suitable notion of Hilbert space scalar product, the relevant Heisenberg inequalities are established. Besides the coordinate-conjugate momentum inequalities, these include a novel proper-time-conjugate extended momentum inequality. Physical implications and the connection with the deterministic limit recovering General Relativity are investigated.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Entropy
ISSN
1099-4300
e-ISSN
—
Volume of the periodical
22
Issue of the periodical within the volume
11
Country of publishing house
CH - SWITZERLAND
Number of pages
25
Pages from-to
„1209-1“-„1209-25“
UT code for WoS article
000592759200001
EID of the result in the Scopus database
2-s2.0-85094108085