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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
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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
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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