Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/34687
Title: NONLINEAR QUANTUM COSMOLOGY
Authors: MEER ASHWINKUMAR MUHYIDIN BIN MEER AHMAD
Keywords: minisuperspace,nonlinear,cosmology,quantum,information-theoretic,FLRW
Issue Date: 18-Jun-2012
Source: MEER ASHWINKUMAR MUHYIDIN BIN MEER AHMAD (2012-06-18). NONLINEAR QUANTUM COSMOLOGY. ScholarBank@NUS Repository.
Abstract: The main motive of quantum cosmology is to explain our universe at time t=0, when quantum effects are expected to be large. However quantum cosmology does not solve all singularities via the Wheeler-DeWitt equation. In order to model the fundamental theory of quantum gravity, we use information-theoretic nonlinearisations of the Wheeler-DeWitt equation, in hope that we may avoid the singularities. In the first part of this work we study a universe with a scale factor-varying cosmological constant using the nonlinear Wheeler-DeWitt equation, finding a minimum and maximum size to the universe, in some cases implying a cyclic universe via the effective classical dynamics. The second part is a study of a universe containing a free massless scalar field, which is used as an internal clock. The Wheeler-DeWitt equation is now used to describe the evolution of a wavepacket, and cylic-type evolution was found, which is however neither periodic nor everlasting.
URI: http://scholarbank.nus.edu.sg/handle/10635/34687
Appears in Collections:Master's Theses (Open)

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