A higher order GUP with minimal length uncertainty and maximal momentum

By Pouria Pedram. 2011

169 citations recorded by the source corpus.

Abstract We present a higher order generalized (gravitational) uncertainty principle (GUP) in the form [ X , P ] = i ℏ / ( 1 − β P 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.

Subfields: Neurology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/25f43c122ec7cf942b853a8847958afc73699e2c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Neurology

1. Abdel Nasser Tawfik
2. A. Diab
3. Sabine Hossenfelder

In Nuclear and High Energy Physics

1. Abdel Nasser Tawfik
2. A. Diab
3. Sabine Hossenfelder
4. M. Drewes
5. Sourendu Gupta
6. C. Fuchs
7. Supriyo Datta

In Statistical and Nonlinear Physics

1. Abdel Nasser Tawfik
2. A. Diab
3. Sabine Hossenfelder

Citations in the corpus

• Minimal Length Scale Scenarios for Quantum Gravity (2012, background): “The harmonic oscillator in one dimension with an asymptotic GUP has been considered in [257, 255].”
• Generalized Uncertainty Principle: Approaches and Applications (2014, methodology): “Comparison KMM [29] ADV [63, 113] Pedram [64]”