Geometrogenesis in GFT: An Analysis

TL;DR

This paper critically examines the concept of geometrogenesis in group field theory, questioning its conceptual foundations and the assumptions about phase transitions from non-geometric to geometric phases of the universe.

Contribution

It offers a critique of the geometrogenesis idea within GFT, highlighting conceptual issues and foundational ambiguities that challenge its viability.

Findings

Identifies conceptual issues with geometrogenesis in GFT.

Highlights foundational ambiguities in GFT.

Questions the necessity of extra temporal dimensions.

Abstract

In this paper I introduce the idea of geometrogenesis as suggested in the group field theory 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 non-geometric 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 non-geometric 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.