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The Common Logic of Quantum Universe-Part I: The Case of Non-relativistic Quantum Mechanics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F22%3AA0000236" target="_blank" >RIV/47813059:19630/22:A0000236 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s10701-022-00547-z" target="_blank" >https://link.springer.com/article/10.1007/s10701-022-00547-z</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10701-022-00547-z" target="_blank" >10.1007/s10701-022-00547-z</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Common Logic of Quantum Universe-Part I: The Case of Non-relativistic Quantum Mechanics

  • Original language description

    One of the most challenging and fascinating issue in mathematical and theoretical physics concerns the possibility of identifying the logic underlying the so-called quantum universe, i.e., Quantum Mechanics and Quantum Gravity. Besides the sheer difficulty of the problem, inherent in the actual formulation of Quantum Mechanics-and especially of Quantum Gravity-to be used for such a task, a crucial aspect lies in the identification of the appropriate axiomatic logical proposition calculus to be associated to such theories. In this paper the issue of the validity of the conventional principle of non-contradiction (PNC) is called into question and is investigated in the context of non-relativistic Quantum Mechanics. In the same framework a modified form of the principle, denoted as 3-way PNC is shown to apply, which relates the axioms of quantum logic with the physical requirements placed by the Heisenberg Indeterminacy 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

    10303 - Particles and field physics

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

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    38

  • Pages from-to

    „30-1“-„30-38“

  • UT code for WoS article

    000758827100001

  • EID of the result in the Scopus database

    2-s2.0-85126198209