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The problem of time for non-deparametrizable models and quantum gravity

Mozota Frauca, Alvaro (2024) The problem of time for non-deparametrizable models and quantum gravity. [Preprint]

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Abstract

In this article I introduce a distinction between two types of reparametrization invariant models and I argue that while both suffer from a problem of time at the time of applying canonical quantization methods to quantize them, its severity depends greatly on the type of model. Deparametrizable models are models that have time as a configuration or phase space variable and this makes it the case that the problem of time can be solved. In the case of non-deparametrizable models, we cannot find time in the configuration or phase space of the model, and hence the techniques that allow solving the problem in the deparametrizable case do not apply. This seems to signal that the canonical quantization techniques fail to give a satisfactory quantization of non-deparametrizable models. As I argue that general relativity is non-deparametrizable, this implies that the canonical quantization of this theory may fail to provide a successful theory of quantum gravity.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Mozota Frauca, Alvaroalvaro.mozota@upc.edu0000-0002-7715-0563
Keywords: quantum gravity, problem of time, general relativity, canonical quantization
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr. Alvaro Mozota Frauca
Date Deposited: 13 Oct 2024 12:23
Last Modified: 13 Oct 2024 12:23
Item ID: 24052
Official URL: https://www.collegepublications.co.uk/silfs/?00030
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Date: 12 February 2024
URI: https://philsci-archive.pitt.edu/id/eprint/24052

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