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Re-thinking geometrogenesis: instantaneity in Quantum Gravity scenarios

De Bianchi, Silvia and Gabbanelli, Luciano (2023) Re-thinking geometrogenesis: instantaneity in Quantum Gravity scenarios. [Preprint]


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Recent Quantum Gravity approaches revealed that space-time emergence opens conceptual difficulties when the theory allows for cosmological scenarios compatible with geometrogenesis. In particular, it appears extremely difficult to think of an a-temporal transition from a non-geometric to a geometric phase and vice versa.
In this paper we advance the proposal of a concept of atemporality, i.e., instantaneity that is suitable for the description of the transition occurring among fundamental phases from which space-time emerges in some Quantum Gravity approaches, including Group Field Theory and its cosmological implications. After discussing the ontology at different levels of space-time emergence in a theory of Quantum Gravity in Section 2, we shall focus on the definition of the notion of instantaneity to interpret the atemporal transition of geometrogenesis (Section 3.1), thereby arguing that atemporality dominates at Renormalization Group flow fixed points (Section 3.2). In Section 4, we apply for the first time our notion of instantaneity to the study of geometrogenesis in the context of tensorial Group Field Theory and we conclude by suggesting that atemporality plays a significant role for the understanding of our world at different scales.

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Item Type: Preprint
De Bianchi,
Gabbanelli, Luciano
Keywords: Quantum Gravity, Emergence of Spacetime, Instantaneity, Phase Transitions, Geometrogenesis
Subjects: Specific Sciences > Physics > Quantum Gravity
Depositing User: Prof. Silvia De Bianchi
Date Deposited: 05 Mar 2023 15:21
Last Modified: 05 Mar 2023 15:21
Item ID: 21825
Subjects: Specific Sciences > Physics > Quantum Gravity
Date: 2023

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