Maximal momentum GUP leads to quadratic gravity

• URL: http://arxiv.org/abs/2106.04141v2
• Date: Mon, 6 Sep 2021 02:53:54 GMT
• Title: Maximal momentum GUP leads to quadratic gravity
• Authors: Vijay Nenmeli, S. Shankaranarayanan (IIT Bombay), Vasil Todorinov and Saurya Das (University of Lethbridge)
• Abstract summary: Quantum theories of gravity predict features such as a minimum measurable length and maximum momentum. We use the Generalized Uncertainty Principle (GUP), which is an extension of the standard Heisenberg Uncertainty Principle motivated by Quantum Gravity. In particular, we use a GUP with modelling maximum momentum to establish a correspondence between the GUP-modified dynamics of a massless spin-2 field and quadratic (referred to as Stelle) gravity.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum theories of gravity predict interesting phenomenological features such as a minimum measurable length and maximum momentum. We use the Generalized Uncertainty Principle (GUP), which is an extension of the standard Heisenberg Uncertainty Principle motivated by Quantum Gravity, to model the above features. In particular, we use a GUP with modelling maximum momentum to establish a correspondence between the GUP-modified dynamics of a massless spin-2 field and quadratic (referred to as Stelle) gravity. In other words, Stelle gravity can be regarded as the classical manifestation of a maximum momentum and the related GUP. We explore the applications of Stelle gravity to cosmology and specifically show that Stelle gravity applied to a homogeneous and isotropic background leads to inflation with an exit. Using the above, we obtain strong bounds on the GUP parameter from CMB observations. Unlike previous works, which fixed only upper bounds for GUP parameters, we obtain both \emph{lower and upper bounds} on the GUP parameter.

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