2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117595We 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.5 pages, 2 figuresGeneral Relativity and Quantum Cosmologytext