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The Common Logic of Quantum Universe-Part II: The Case of Quantum Gravity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F22%3AA0000213" target="_blank" >RIV/47813059:19630/22:A0000213 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s10701-022-00548-y" target="_blank" >https://link.springer.com/article/10.1007/s10701-022-00548-y</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10701-022-00548-y" target="_blank" >10.1007/s10701-022-00548-y</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Common Logic of Quantum Universe-Part II: The Case of Quantum Gravity

  • Original language description

    The logical structure of quantum gravity (QG) is addressed in the framework of the so-called manifestly covariant approach. This permits to display its close analogy with the logics of quantum mechanics (QM). More precisely, in QG the conventional 2-way principle of non-contradiction (2-way PNC) holding in Classical Mechanics is shown to be replaced by a 3-way principle (3-way PNC). The third state of logical truth corresponds to quantum indeterminacy/undecidability, i.e., the occurrence of quantum observables with infinite standard deviation. The same principle coincides, incidentally, with the earlier one shown to hold in Part I, in analogous circumstances, for QM. However, this conclusion is found to apply only provided a well-defined manifestly-covariant theory of the gravitational field is adopted both at the classical and quantum levels. Such a choice is crucial. In fact it makes possible the canonical quantization of the underlying unconstrained Hamiltonian structure of general relativity, according to an approach recently developed by Cremaschini and Tessarotto (2015-2021). Remarkably, in the semiclassical limit of the theory, Classical Logic is proved to be correctly restored, together with the validity of the conventional 2-way principle.

  • 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

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Foundations of Physics

  • ISSN

    0015-9018

  • e-ISSN

  • Volume of the periodical

    52

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    37

  • Pages from-to

    „39-1“-„39-37“

  • UT code for WoS article

    000768838400001

  • EID of the result in the Scopus database

    2-s2.0-85126198209