Geometrogenesis in GFT: an analysis

In this paper I introduce the idea of geometrogenesis as suggested in the group field theory (GFT) literature, and I offer a criticism of it. Geometrogenesis in the context of GFT is the idea that what we observe as the big bang is nothing else but a phase transition from a nongeometric phase of the...

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Detalles Bibliográficos
Autor: Mozota Frauca, Álvaro|||0000-0002-7715-0563
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/438784
Acceso en línea:https://hdl.handle.net/2117/438784
https://dx.doi.org/10.31389/pop.29
Access Level:acceso abierto
Palabra clave:Quantum field theory -- Mathematical models
Quantum gravity
Group field theory
Geometrogenesis
Phase transition
Spacetime emergence
Camps, Teoria quàntica de -- Models matemàtics
Gravetat quàntica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
Descripción
Sumario:In this paper I introduce the idea of geometrogenesis as suggested in the group field theory (GFT) literature, and I offer a criticism of it. Geometrogenesis in the context of GFT is the idea that what we observe as the big bang is nothing else but a phase transition from a nongeometric phase of the universe to a geometric one, which is the one we live in and the one to which the spacetime concepts apply. GFT offers the machinery to speak about geometric and nongeometric phases, but I argue that there are serious conceptual issues that threaten the viability of the idea. Some of these issues are directly related to the foundations of GFT and are concerned with the fact that it isn’t clear what GFT amounts to and how to understand it. The other main source of trouble has to do with geometrogenesis itself and its conceptual underpinnings, as it is unclear whether it requires the addition of an extra temporal or quasitemporal dimension, which is unwanted and problematic