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arXiv · 1904.06343

Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models

Pasquale Bosso·Octavio Obregón
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Abstract

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.

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Pasquale Bosso, Octavio Obregón. 2019-04-12. Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models. https://doi.org/10.1088/1361-6382%2Fab6038

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