Maximal momentum GUP leads to quadratic gravity

Physics Letters B, Vol. 821 (2021)

Mots clés
Auteurs
  • Vijay Nenmeli
  • Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India
  • S. Shankaranarayanan
  • Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India; Corresponding author.
  • Vasil Todorinov
  • Theoretical Physics Group and Quantum Alberta, Department of Physics and Astronomy, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4, Canada
  • Saurya Das
  • Theoretical Physics Group and Quantum Alberta, Department of Physics and Astronomy, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4, Canada

Résumé

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 lower and upper bounds on the GUP parameter.

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