Maximal momentum GUP leads to quadratic gravity

Understand

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.