Pregled bibliografske jedinice broj: 1238570
An Intensional Probability Theory: Investigating the Link between Classical and Quantum Probabilities
An Intensional Probability Theory: Investigating the Link between Classical and Quantum Probabilities // Mathematics, 10 (2022), 22; 1-16 doi:10.3390/math10224294 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1238570 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
An Intensional Probability Theory: Investigating the
Link between Classical and Quantum Probabilities
Autori
Milovanović, Miloš ; Saulig, Nicoletta
Izvornik
Mathematics (2227-7390) 10
(2022), 22;
1-16
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
quantum ensemble ; quantum state ; measurement problem ; time operator ; time continuum
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Elektrotehnika, Računarstvo
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
