Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

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

Articles in Press

Document Type : Original Article

Authors
Mansour Haghighat 1
Farhang Loran 2
1 1-Physics Department, College of Sciences, Shiraz University, Shiraz 71454, Iran \\ and \\ 2-Islamic World Science and Technology Monitoring and Citation Institute (ISC), Shiraz, Iran
2 Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran
10.30511/ttmp.2026.2096069.1088
Abstract
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 4He
with mass about the Planck mass. For two 4He droplets with a
mass difference of about one microgram, we show that the relative
difference in the binding energies is about one percent.
Keywords
Bound State
$^4$He Superfluid Droplet
Test for Quantum Gravity
Subjects
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Transactions in Theoretical and Mathematical Physics

Articles in Press, Accepted Manuscript
Available Online from 28 October 2026

  • Receive Date 29 July 2026
  • Accept Date 26 October 2026
  • First Publish Date 28 October 2026
  • Publish Date 28 October 2026