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Quantum Gravity Relativistic Quantum Information

Minimal Length in quantum gravity and gravitational measurements

arXiv
Authors: Ahmed Farag Ali, Mohammed M. Khalil, Elias C. Vagenas

Year

2015

Paper ID

26570

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

The existence of a minimal length is a common prediction of various theories of quantum gravity. This minimal length leads to a modification of the Heisenberg uncertainty principle to a Generalized Uncertainty Principle (GUP). Various studies showed that a GUP modifies the Hawking radiation of black holes. In this paper, we propose a modification of the Schwarzschild metric based on the modified Hawking temperature derived from the GUP. Based on this modified metric, we calculate corrections to the deflection of light, time delay of light, perihelion precession, and gravitational redshift. We compare our results with gravitational measurements to set an upper bound on the GUP parameter.

Why This Paper Matters

  • This paper contributes to the Quantum Gravity & Relativistic Quantum Information research area in the Quantum Articles archive.
  • It adds a 2015 reference point for readers tracking recent quantum research.
  • The existence of a minimal length is a common prediction of various theories of quantum gravity.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1510.06365 [2] arXiv https://arxiv.org/abs/1510.06365 [3] Publisher https://arxiv.org/abs/1510.06365

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