Bound State of an Electron on a $^4$He Superfluid Droplet as a Test for Quantum Gravity

Details Bound State of an Electron on a $^4$He Superfluid Droplet as a Test for Quantum Gravity Bound State of an Electron on a $^4$He Superfluid Droplet as a Test for Quantum Gravity

2006-10-28

arxiv.org/abs/gr-qc/0610145v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 2 figures

Scientific paper

We address the problem of finding a system in which there would be measurable quantum gravitational effects. Following standard quantum-field methods, we have calculated the first-order radiative correction of graviton exchange on the binding energy of an electron with an ultra cold superfluid droplet of $^4$He with mass about the Planck mass. For two $^4$He droplets with a mass difference of about one microgram, we show that the relative difference in the binding energies is about one percent.

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