Unparticle inspired corrections to the Gravitational Quantum Well

TL;DR

This paper investigates how unparticle-inspired modifications to gravity affect the energy levels of a gravitational quantum well, providing bounds on these new physics parameters based on experimental data.

Contribution

It introduces a novel correction to the Newtonian potential inspired by unparticle physics and calculates its impact on the gravitational quantum well energy spectrum.

Findings

Derived bounds on unparticle correction parameters from GRANIT experiment data

Calculated modified energy spectrum for gravitational quantum well with unparticle corrections

Showed potential for experimental tests of unparticle physics in quantum gravity settings

Abstract

We consider unparticle inspired corrections of the type ${(\frac{R_{G}}{r})}^\beta$ to the Newtonian potential in the context of the gravitational quantum well. The new energy spectrum is computed and bounds on the parameters of these corrections are obtained from the knowledge of the energy eigenvalues of the gravitational quantum well as measured by the GRANIT experiment.