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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