Algebraic Structures Formalizing the Logic of Quantum Mechanics Incorporating Time Dimension

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633164" target="_blank" >RIV/61989592:15310/25:73633164 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s11225-024-10103-7" target="_blank" >https://link.springer.com/article/10.1007/s11225-024-10103-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11225-024-10103-7" target="_blank" >10.1007/s11225-024-10103-7</a>

Result language
angličtina
Original language name
Algebraic Structures Formalizing the Logic of Quantum Mechanics Incorporating Time Dimension
Original language description
The aim of this paper is to show that tense operators can be introduced in every logic based on a complete lattice, in particular in the logic of quantum mechanics based on a complete orthomodular lattice.If the time set is given together with a preference relation, we introduce tense operators in a purely algebraic way. We investigate connections of these tense operators with logical connectives conjunction and implication derived by means of Sasaki projections. We solve the converse problem, namely to find for given time set and given tense operators a time preference relation.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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