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
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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
10308 - Astronomy (including astrophysics,space science)
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
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