Reassessing the problem of time of quantum gravity
In this paper I raise a worry about the most extended resolutions of the problem of time of canonical quantizations of general relativity. The reason for this is that these resolutions are based on analogies with deparametrizable models for which the problem can be solved, while I argue in this pape...
| Autor: | |
|---|---|
| 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:2117/438769 |
| Acceso en línea: | https://hdl.handle.net/2117/438769 https://dx.doi.org/10.1007/s10714-023-03067-x |
| Access Level: | acceso abierto |
| Palabra clave: | General relativity (Physics) -- Mathematical models Quantum gravity Time -- Philosophy Problem of time General relativity Canonical quantization Constrained systems Relativitat general (Física) -- Models matemàtics Gravetat quàntica Temps -- Filosofia Àrees temàtiques de la UPC::Física::Mecànica quàntica |
| Sumario: | In this paper I raise a worry about the most extended resolutions of the problem of time of canonical quantizations of general relativity. The reason for this is that these resolutions are based on analogies with deparametrizable models for which the problem can be solved, while I argue in this paper that there are good reasons for doubting about these resolutions when the theory is not deparametrizable, which is the case of general relativity. I introduce an example of a non-deparametrizable model, a double harmonic oscillator system expressed by its Jacobi action, and argue that the problem of time for this model is not solvable, in the sense that its canonical quantization doesn’t lead to the quantum theory of two harmonic oscillators and the standard resolutions of the problem of time don’t work for this case. I argue that as general relativity is strongly analogous to this model, one should take seriously the view that the canonical quantization of general relativity doesn’t lead to a meaningful quantum theory. Finally, I comment that this has an impact on the foundations of different approaches to quantum gravity. |
|---|