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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Foundations of Physics

ISSN

0015-9018

e-ISSN

—

Svazek periodika

52

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

38

Strana od-do

„30-1“-„30-38“

Kód UT WoS článku

000758827100001

EID výsledku v databázi Scopus

2-s2.0-85126198209