Higher order GUP black hole based on COW experiment and Einstein-Bohr's photon box

Abstract

In this work we have explored the effects of higher order generalized uncertainty principle (GUP), inspired from the quantum gravity COW experiment and the Einstein-Bohr's photon box thought experiment, on the properties of a black hole. Two different GUP models, namely, GUP to all orders in the Planck length model, and GUP with minimal length uncertainty and maximal momentum model are considered for our study. For each model, we have investigated the modified de Broglie formula, modification in gravitational phase shift, Einstein-Bohr's photon box, and the modified Hawking temperature and the tidal force of the GUP modified black hole.