Transition amplitudes in quantum cosmology

Simple item page
dc.audiencegeneralPublic
dc.contributorRamírez Romero, Cupatitzio
dc.contributorGarcía Compéan, Héctor Hugo
dc.contributor.advisorRamírez Romero, Cupatitzio; 0000-0001-9864-010X
dc.contributor.authorHernández Aguilar, Jorge
dc.creatorHernández Aguilar, Jorge; 0009-0000-8704-4724
dc.date.accessioned2026-07-10T17:01:59Z
dc.date.available2026-07-10T17:01:59Z
dc.date.issued2026-01-27
dc.description.abstract"In this thesis we present a rigorous examination of vacuum transition probabilities between two minima of a scalar field potential within the framework of quantum cosmology, employing a Lorentzian formalism. The research explicitly incorporates quantum corrections through a Wentzel-KramersBrillouin (WKB) approximation to the Wheeler-DeWitt equation, extending the analysis to General Relativity in (2 + 1) and (3 + 1) and modified f(R) gravity, offering new insights into the initial conditions of the universe First we establish the mathematical and conceptual foundations of the research. We provides an introduction to the canonical quantization of gravity, detailing the Arnowitt-Deser-Misner (ADM) formalism and the construction of the Minisuperspace, which leads to the derivation of the WheelerDeWitt equation. Additionally, we discuss the conceptual challenges associated with quantum cosmology, such as the Problem of Time and examine the boundary condition proposals essential for the tunneling phenomena, alongside an introduction to the fundamental properties of modified f(R) gravity theories. Then we develop the general formalism for calculating vacuum transition probabilities. It introduces a method to compute these probabilities for any Minisuperspace model characterized by a Hamiltonian constraint quadratic in the momenta. A key contribution of this formalism is the systematic incorporation of higher-order terms in the semiclassical expansion, enabling the calculation of quantum corrections to the transition amplitudes".
dc.folio20260121154346-5403-T
dc.formatpdf
dc.identificator1
dc.identifier.urihttps://hdl.handle.net/20.500.12371/33404
dc.language.isoeng
dc.matricula.creator222570128
dc.publisherBenemérita Universidad Autónoma de Puebla
dc.rights.accesopenAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.subject.lccAstronomía--Cosmología--Temas especiales--Cosmología cuántica
dc.subject.lccFísica--Física atómica--Teorías de la gravitación
dc.subject.lccFísica--Física atómica--Física de la relatividad--Tipos especiales de teorías de la relatividad
dc.subject.lccGravedad cuántica
dc.subject.lccRelatividad general (Física)
dc.thesis.careerDoctorado en Ciencias (Física Aplicada)
dc.thesis.degreedisciplineÁrea de Ingeniería y Ciencias Exactas
dc.thesis.degreegrantorFacultad de Ciencias Físico Matemáticas
dc.thesis.degreetoobtainDoctor (a) en Ciencias (Física Aplicada)
dc.titleTransition amplitudes in quantum cosmology
dc.typeTesis de doctorado
dc.type.conacytdoctoralThesis
dc.type.degreeDoctorado
Files
Original bundle
Now showing 1 - 2 of 2
Name:
20260121154346-5403-T.pdf
Size:
2.27 MB
Format:
Adobe Portable Document Format
Download
Name:
20260121154346-5403-CARTA.pdf
Size:
404.17 KB
Format:
Adobe Portable Document Format
Collections
Tesis de Doctorado