An Intensional Probability Theory: Investigating the Link between Classical and Quantum Probabilities

Miloš Milovanović and Nicoletta Saulig ()
Additional contact information
Miloš Milovanović: Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
Nicoletta Saulig: Faulty of Engineering, Juraj Dobrila University of Pula, 52100 Pula, Croatia

Mathematics, 2022, vol. 10, issue 22, 1-16

Abstract: The link between classical and quantum theories is discussed in terms of extensional and intensional viewpoints. The paper aims to bring evidence that classical and quantum probabilities are related by intensionalization, which means that by abandoning sets from classical probability one should obtain quantum theory. Unlike the extensional concept of a set, the intensional probability is attributed to the quantum ensemble, which is contextually dependent. The contextuality offers a consistent realization of the measurement problem, which should require the existence of the time operator. The time continuum by Brouwer has satisfied such a requirement, which makes it fundamental to mathematical physics. The statistical model it provides has been proven tremendously useful in a variety of applications.

Keywords: quantum ensemble; quantum state; measurement problem; time operator; time continuum (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/22/4294/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/22/4294/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:22:p:4294-:d:974774

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().