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arXiv · 1110.2999

A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum

Pouria Pedram
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Abstract

We present a higher order generalized (gravitational) uncertainty principle (GUP) in the form $[X,P]=i\hbar/(1-βP^2)$. This form of GUP is consistent with various proposals of quantum gravity such as string theory, loop quantum gravity, doubly special relativity, and predicts both a minimal length uncertainty and a maximal observable momentum. We show that the presence of the maximal momentum results in an upper bound on the energy spectrum of the momentum eigenstates and the harmonic oscillator.

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Pouria Pedram. 2012-10-19. A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum. https://doi.org/10.1016/j.physletb.2012.07.005

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