A study of the problem of time in a Friedmann quantum cosmology

Pérez Rodríguez, Jeinny Nallely (2020) A study of the problem of time in a Friedmann quantum cosmology. [Laurea magistrale], Università di Bologna, Corso di Studio in Physics [LM-DM270]
Documenti full-text disponibili:
[img] Documento PDF (Thesis)
Disponibile con Licenza: Creative Commons: Attribuzione - Non commerciale - Non opere derivate 4.0 (CC BY-NC-ND 4.0)

Download (428kB)


After reviewing Dirac's canonical quantization program and the canonical quantization of General Relativity, we study the problem of time in the context of a quantum minisuperspace cosmological model: a Friedmann-Lemaître-Robertson-Walker spacetime coupled minimally to a scalar field. We explore different methods to include time and evolution in our formalism. We begin by discussing the possibility to identify a dynamical time variable before quantization. Such a time variable is constructed as a function of the phase space variables and leads to a multiple choice problem for the evolution of our quantum system. We then explore the connection between the Born-Oppenheimer (BO) approach to the problem of time and gauge fixing. We find that by choosing a particular gauge we can recover the Born-Oppenheimer approach ansatz both in the classical and in the quantum theory. In the latter, the result of the BO approach is recovered by performing a phase transformation in the Wheeler-DeWitt equation and requiring that the resulting Schrödinger-like equation is unitary.

Tipologia del documento
Tesi di laurea (Laurea magistrale)
Autore della tesi
Pérez Rodríguez, Jeinny Nallely
Relatore della tesi
Corso di studio
Ordinamento Cds
Parole chiave
quantum cosmology,quantum gravity,gauge fixing,gravitation,Friedmann,Hamiltonian constraint,time,canonical quantization
Data di discussione della Tesi
23 Ottobre 2020

Altri metadati

Statistica sui download

Gestione del documento: Visualizza il documento