FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2344838940> ?p ?o ?g. }

• W2344838940 endingPage "035003" @default.
• W2344838940 startingPage "035003" @default.
• W2344838940 abstract "This study considers the operator $hat{T}$ corresponding to the classical spacetime four-volume $tilde{T}$ (on-shell) of a finite patch of spacetime in the context of Unimodular Loop Quantum Cosmology for the homogeneous and isotropic model with flat spatial sections and without matter sources. Since the spacetime four-volume is canonically conjugate to the cosmological constant, the operator $hat{T}$ is constructed by solving its canonical commutation relation with $hat{Lambda}$ - the operator corresponding to the classical cosmological constant on-shell $tilde{Lambda}$. This conjugacy, along with the action of $hat{T}$ on definite volume states reducing to $tilde{T}$, allows us to interpret that $hat{T}$ is indeed a quantum spacetime four-volume operator. The discrete spectrum of $hat{T}$ is calculated by considering the set of all $tau$'s where the eigenvalue equation has a solution $Phi_{tau}$ in the domain of $hat{T}$. It turns out that, upon assigning the maximal domain $D(hat{T})$ to $hat{T}$, we have $Phi_{tau}in D(hat{T})$ for all $tauinmathbb{C}$ so that the spectrum of $hat{T}$ is purely discrete and is the entire complex plane. A family of operators $hat{T}^{(b_0,phi_0)}$ was also considered as possible self-adjoint versions of $hat{T}$. They represent the restrictions of $hat{T}$ on their respective domains $D(hat{T}^{(b_0,phi_0)})$ which are just the maximal domain with additional quasi-periodic conditions. Their possible self-adjointness is motivated by their discrete spectra only containing real and discrete numbers $tau_m$ for $m=0,pm1,pm2,...$." @default.
• W2344838940 created "2016-06-24" @default.
• W2344838940 creator A5002879697 @default.
• W2344838940 date "2016-12-29" @default.
• W2344838940 modified "2023-09-25" @default.
• W2344838940 title "Spacetime quanta?: the discrete spectrum of a quantum spacetime four-volume operator in unimodular loop quantum cosmology" @default.
• W2344838940 cites W1533471520 @default.
• W2344838940 cites W1719153234 @default.
• W2344838940 cites W1931954910 @default.
• W2344838940 cites W1947273351 @default.
• W2344838940 cites W1974152675 @default.
• W2344838940 cites W1975387040 @default.
• W2344838940 cites W1984153078 @default.
• W2344838940 cites W1984386595 @default.
• W2344838940 cites W1987383668 @default.
• W2344838940 cites W1988029030 @default.
• W2344838940 cites W1990231886 @default.
• W2344838940 cites W1992168902 @default.
• W2344838940 cites W1996135325 @default.
• W2344838940 cites W2007210014 @default.
• W2344838940 cites W2010106678 @default.
• W2344838940 cites W2013794521 @default.
• W2344838940 cites W2029791023 @default.
• W2344838940 cites W2033776560 @default.
• W2344838940 cites W2040736036 @default.
• W2344838940 cites W2045372632 @default.
• W2344838940 cites W2048390511 @default.
• W2344838940 cites W2060198182 @default.
• W2344838940 cites W2062305579 @default.
• W2344838940 cites W2064559964 @default.
• W2344838940 cites W2069721634 @default.
• W2344838940 cites W2071554951 @default.
• W2344838940 cites W2077675667 @default.
• W2344838940 cites W2077885202 @default.
• W2344838940 cites W2080374726 @default.
• W2344838940 cites W2081327463 @default.
• W2344838940 cites W2085982055 @default.
• W2344838940 cites W2087690346 @default.
• W2344838940 cites W2096469703 @default.
• W2344838940 cites W2101065856 @default.
• W2344838940 cites W2104041846 @default.
• W2344838940 cites W2105991089 @default.
• W2344838940 cites W2107246682 @default.
• W2344838940 cites W2118357500 @default.
• W2344838940 cites W2124814863 @default.
• W2344838940 cites W2138185025 @default.
• W2344838940 cites W2145511126 @default.
• W2344838940 cites W2149289292 @default.
• W2344838940 cites W2151129379 @default.
• W2344838940 cites W2168462986 @default.
• W2344838940 cites W2170756248 @default.
• W2344838940 cites W2171929528 @default.
• W2344838940 cites W2178915400 @default.
• W2344838940 cites W2192651938 @default.
• W2344838940 cites W2234735248 @default.
• W2344838940 cites W3098149624 @default.
• W2344838940 cites W3098697172 @default.
• W2344838940 cites W3099659727 @default.
• W2344838940 cites W3100200593 @default.
• W2344838940 cites W3100881098 @default.
• W2344838940 cites W3102220901 @default.
• W2344838940 cites W3102623580 @default.
• W2344838940 cites W3103207106 @default.
• W2344838940 cites W3105638176 @default.
• W2344838940 cites W3106053065 @default.
• W2344838940 cites W3106438541 @default.
• W2344838940 cites W3122955193 @default.
• W2344838940 cites W4210986517 @default.
• W2344838940 cites W4233500204 @default.
• W2344838940 cites W4234378811 @default.
• W2344838940 cites W4254859358 @default.
• W2344838940 cites W4301229206 @default.
• W2344838940 doi "https://doi.org/10.1088/1361-6382/aa51fb" @default.
• W2344838940 hasPublicationYear "2016" @default.
• W2344838940 type Work @default.
• W2344838940 sameAs 2344838940 @default.
• W2344838940 citedByCount "1" @default.
• W2344838940 countsByYear W23448389402021 @default.
• W2344838940 crossrefType "journal-article" @default.
• W2344838940 hasAuthorship W2344838940A5002879697 @default.
• W2344838940 hasBestOaLocation W23448389402 @default.
• W2344838940 hasConcept C104317684 @default.
• W2344838940 hasConcept C114614502 @default.
• W2344838940 hasConcept C121332964 @default.
• W2344838940 hasConcept C130187892 @default.
• W2344838940 hasConcept C158448853 @default.
• W2344838940 hasConcept C17020691 @default.
• W2344838940 hasConcept C185592680 @default.
• W2344838940 hasConcept C201958917 @default.
• W2344838940 hasConcept C33923547 @default.
• W2344838940 hasConcept C37914503 @default.
• W2344838940 hasConcept C55493867 @default.
• W2344838940 hasConcept C62520636 @default.
• W2344838940 hasConcept C86339819 @default.
• W2344838940 hasConceptScore W2344838940C104317684 @default.
• W2344838940 hasConceptScore W2344838940C114614502 @default.
• W2344838940 hasConceptScore W2344838940C121332964 @default.
• W2344838940 hasConceptScore W2344838940C130187892 @default.

• next