Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models

Understand

A Kantowski-Sachs model with a modified quantization prescription is considered.

• Such quantization rules, inspired by the so-called Generalized Uncertainty Principle (GUP), correspond to a modified commutation relation between minisuperspace variables and their conjugate momenta.
• For a wide range of the modification parameter, this approach differentiates from the standard results by the presence of a potential well in the corresponding Wheeler-DeWitt equation.
• This then produces the appearance of a set of wave functions, with corresponding discrete energy spectrum.