dc.contributor.advisor | Nešić, Ljubiša D. | |
dc.contributor.other | Đorđević, Goran S. | |
dc.contributor.other | Pantić, Milan | |
dc.creator | Radovančević, Darko V. | |
dc.date.accessioned | 2017-04-22T09:30:04Z | |
dc.date.available | 2017-04-22T09:30:04Z | |
dc.date.available | 2020-07-03T16:12:11Z | |
dc.date.issued | 2016-12-17 | |
dc.identifier.uri | https://nardus.mpn.gov.rs/handle/123456789/7938 | |
dc.identifier.uri | http://eteze.ni.ac.rs/application/showtheses?thesesId=4844 | |
dc.identifier.uri | https://fedorani.ni.ac.rs/fedora/get/o:1290/bdef:Content/download | |
dc.identifier.uri | http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=1025417705 | |
dc.description.abstract | The theme of this PhD thesis is related to the study of
minisuperspace cosmological models whose Lagrangians can be reduced to Lagrangian of
the free relativistic particle or to Lagrangian of the two oscillators of the same or dierent
frequencies.
After getting acquainted with the elements of p-adic and adelic mathematical analysis
and quantum mechanics, classical and quantum cosmology, the thesis discusses the aforementioned
cosmological models in classic, p-adic noncommutative approach. The study of
cosmological models within the p-adic noncommutative formalism is of particular importance
because both of these approaches suggest discreteness of the structure of space-time
at the Planck scale which is associated with the mechanism of signature transition within
Hartl-Hawking boundary condition.
After considering Milne model, in the classic section, rstly the classication of the
two-oscillator models according to the form of Lagrangian is performed, concrete examples
are given and then their Hamiltonians and classical actions are determined. The questions
of the Hamiltonian condition and classical signature transition are especially considered.
In the p-adic part, quantum p-adic and adelic forms of these models are presented and
the conditions of the existence of their vacuum p-adic states are determined.
After that noncommutative forms of the models are considered and their classical
noncommutative actions and propagators are determined.
In addition to a better understanding of the early stages of the universe evolution, the
study of these models will provide a better insight into the dynamics and thermodynamics
of the interior of non-charged and non-rotating (Schwarzschild) black hole whose Einstein-
-Hilbert action can be reduced to action one of the two-oscillator cosmological model
(which will be discussed in the eighth chapter of the thesis).
The original results presented in this thesis are of interest for further study of the
black holes, the early evolution of the universe and further research in the eld of quantum
gravitation in general. | en |
dc.format | application/pdf | |
dc.language | sr | |
dc.publisher | Универзитет у Нишу, Природно-математички факултет | sr |
dc.rights | openAccess | en |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | Универзитет у Нишу | sr |
dc.subject | Kvantna kosmologija | sr |
dc.subject | Quantum cosmology | en |
dc.subject | non-Archimedean spaces | en |
dc.subject | Minisuperspace
cosmological models | en |
dc.subject | Signature change | en |
dc.subject | Noncommutativity | en |
dc.subject | Black hole thermodynamics | en |
dc.subject | Nearhimedovi prostori | sr |
dc.subject | Minisuperprostorni kosmološki modeli | sr |
dc.subject | Signaturna izmena | sr |
dc.subject | Nekomutativnost | sr |
dc.subject | Termodinamika crnih rupa | sr |
dc.title | Dvooscilatorni i modeli tipa slobodne čestice u kosmologiji | sr |
dc.type | doctoralThesis | en |
dc.rights.license | BY-NC-ND | |
dcterms.abstract | Нешић, Љубиша Д.; Ђорђевић, Горан С.; Пантић, Милан; Радованчевић, Дарко В.; Двоосцилаторни и модели типа слободне честице у космологији; Двоосцилаторни и модели типа слободне честице у космологији; | |
dc.identifier.fulltext | http://nardus.mpn.gov.rs/bitstream/id/54293/Radovancevic_Darko_V.pdf | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/54292/Disertacija.pdf | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/54293/Radovancevic_Darko_V.pdf | |
dc.identifier.fulltext | http://nardus.mpn.gov.rs/bitstream/id/54292/Disertacija.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_nardus_7938 | |