On the uncertainty principle in Rindler and Friedmann spacetimes

Abstract

We revise the extended uncertainty relations for the Rindler and Friedmann spacetimes recently discussed by Dabrowski and Wagner in [9]. We reveal these results to be coordinate dependent expressions of the invariant uncertainty relations recently derived for general 3-dimensional spaces of constant curvature in [10]. Moreover, we show that the non-zero minimum standard deviations of the momentum in [9] are just artifacts caused by an unfavorable choice of coordinate systems which can be removed by standard arguments of geodesic completion.

arXiv comment7 pages, 3 figures

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• On the experimental verification of the uncertainty principle of position and momentum
• Effects of Extended Uncertainty Principle on the Relativistic Coulomb Potential
• Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP