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arXiv · 2010.05896

Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy

Luciano Petruzziello
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Abstract

We present a novel generalization of the Heisenberg uncertainty principle which introduces the existence of a maximal observable momentum and at the same time does not entail a minimal indeterminacy in position. The above result is an exact generalized uncertainty principle (GUP), valid at all energy scales. For small values of the deformation parameter $\beta$, our ansatz is consistent with the usual expression for GUP borrowed from string theory, doubly special relativity and other quantum gravity candidates that provide $\beta$ with a negative sign. As a preliminary analysis, we study the implications of this new model on some quantum mechanical applications and on the black hole thermodynamics.

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Luciano Petruzziello. 2020-10-12. Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy. https://doi.org/10.1088/1361-6382%2Fabfd8f

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