Analyzing Loop Quantum Cosmology of Bianchi I, II, and IX Space with Numerical Methods

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dc.contributor.advisorWilson-Ewing, Edward
dc.contributor.authorBlackmore, Timothy Ernest
dc.date.accessioned2023-08-22T17:53:43Z
dc.date.available2023-08-22T17:53:43Z
dc.date.issued2022-04
dc.description.abstractIn previous literature effective Hamiltonian equations have been generated capturing lead order loop quantum gravity effects for the anisotropic vacuum Bianchi I, II, and IX spaces. Additionally, analytical transition rules have been derived for these spaces governing their rates of expansion and contraction. In this paper, these systems are evolved numerically using high-order Runge-Kutta methods and the transition rules are both tested for these Bianchi spaces and used to categorize loop quantum gravity bounces in Bianchi IX. It is found that these transition rules can predict how the Kasner exponents behave in Bianchi II if neither the potential effects and quantum effects become significant simultaneously. Additionally, the loop quantum gravity bounces in Bianchi IX were able to be sorted into four separate classifications based on these transition rules.
dc.description.copyright© Timothy Ernest Blackmore, 2022
dc.format.extentxviii, 168
dc.format.mediumelectronic
dc.identifier.oclc(OCoLC)1418896884en
dc.identifier.otherThesis 11021en
dc.identifier.urihttps://unbscholar.lib.unb.ca/handle/1882/37310
dc.language.isoen
dc.publisherUniversity of New Brunswick
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.disciplinePhysics
dc.subject.lcshBianchi groups.en
dc.subject.lcshRunge-Kutta formulas.en
dc.subject.lcshQuantum cosmology.en
dc.subject.lcshIonospheric electron density.en
dc.subject.lcshIonospheric radio wave absorption.en
dc.subject.lcshLatitude.en
dc.subject.lcshRadio waves--Scintillation.en
dc.titleAnalyzing Loop Quantum Cosmology of Bianchi I, II, and IX Space with Numerical Methods
dc.typemaster thesis
oaire.license.conditionother
thesis.degree.disciplinePhysics
thesis.degree.grantorUniversity of New Brunswick
thesis.degree.levelmasters
thesis.degree.nameM.Sc.

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