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Pregled bibliografske jedinice broj: 945687

Quantum space and quantum completeness


Jurić, Tajron
Quantum space and quantum completeness // The Journal of high energy physics, 2018 (2018), 5; 007, 13 doi:10.1007/jhep05(2018)007 (međunarodna recenzija, članak, znanstveni)


Naslov
Quantum space and quantum completeness

Autori
Jurić, Tajron

Izvornik
The Journal of high energy physics (1126-6708) 2018 (2018), 5; 007, 13

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Spacetime Singularities ; Non-Commutative Geometry ; Models of Quantum Gravity ; Black Holes

Sažetak
Motivated by the question whether quantum gravity can "smear out" the classical singularity we analyze a certain quantum space and its quantum-mechanical completeness. Classical singularity is understood as a geodesic incompleteness, while quantum completeness requires a unique unitary time evolution for test fields propagating on an underlying background. Here the crucial point is that quantum completeness renders the Hamiltonian (or spatial part of the wave operator) to be essentially self-adjoint in order to generate a unique time evolution. We examine a model of quantum space which consists of a noncommutative BTZ black hole probed by a test scalar field. We show that the quantum gravity (noncommutative) effect is to enlarge the domain of BTZ parameters for which the relevant wave operator is essentially self-adjoint. This means that the corresponding quantum space is quantum complete for a larger range of BTZ parameters rendering the conclusion that in the quantum space one observes the effect of "smearing out" the singularity.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Projekt / tema
EK-H2020-692194 (Fabrizio NESTI, EK - H2020-TWINN-2015)

Ustanove
Institut "Ruđer Bošković", Zagreb

Autor s matičnim brojem:
Tajron Jurić, (330293)

Citiraj ovu publikaciju

Jurić, Tajron
Quantum space and quantum completeness // The Journal of high energy physics, 2018 (2018), 5; 007, 13 doi:10.1007/jhep05(2018)007 (međunarodna recenzija, članak, znanstveni)
Jurić, T. (2018) Quantum space and quantum completeness. The Journal of high energy physics, 2018 (5), 007, 13 doi:10.1007/jhep05(2018)007.
@article{article, author = {Juri\'{c}, T.}, year = {2018}, pages = {13}, DOI = {10.1007/jhep05(2018)007}, chapter = {007}, keywords = {Spacetime Singularities, Non-Commutative Geometry, Models of Quantum Gravity, Black Holes}, journal = {The Journal of high energy physics}, doi = {10.1007/jhep05(2018)007}, volume = {2018}, number = {5}, issn = {1126-6708}, title = {Quantum space and quantum completeness}, keyword = {Spacetime Singularities, Non-Commutative Geometry, Models of Quantum Gravity, Black Holes}, chapternumber = {007} }

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


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