Space tests of the generalized uncertainty principle

Abstract

A generalized uncertainty principle admitting a minimal measurable length contains a parameter of which the numerical value needs to be fixed. In fact, the application of the Generalized Uncertainty Principle (GUP) to some quantum mechanical problems offers different values for the upper bound of the GUP dimensionless parameter α 0 . In this work, by applying a GUP which is linear and quadratic in the P correction to Newton's law of gravity, and then using the stability condition of the circular orbits of the planets, we propose an upper bound for α 0 . By using the astronomical data of the Solar System objects, a new and severe constraint on the upper bound of the parameter α 0 is derived. Also, using the modified Newtonian potential, inspired by a GUP which is linear and quadratic in P , we investigate the possibility of measuring the relevant parameter α 0 through observables provided by the Galileo Navigation Satellite System.

Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession

“…Besides the theoretical investigations of GUP, there are studies which are devoted to measuring the upper bounds of various kinds of GUPs [49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64]. It is normally assumed that GUP parameter β is of the order of unity, but this assumption makes the GUP effects too small to be detectable.…”

Planck scale effects on the stochastic gravitational wave background generated from cosmological hadronization transition: A qualitative study

“…By involving QG considerations in a common physical framework, so far researchers were not able to derive upper bound better than α 0 < 10 10 (equivalent to α < 10 −9 GeV −1 ), [28]. See also [29][30][31][32][33][34] for other upper bounds obtained further in different contexts. However, unlike the prevailing notion that, in the context of today's technology, it is impossible to probe the Planck scale physics with ideal resolution, in Refs.…”

The Harmonic Oscillator in the Classical Limit of a Minimal-Length Scenario

“…The connection among these proposals depends strongly on specific models. There is a huge literature about the constraints on Lorentz violation and non-locality [10,11,12,13,14,15,16,17]. All these effects are supposed to play a fundamental role at very high energy scales, even if they can imply the existence of traces in some macroscopical phenomena.…”