Breakdown of the equivalence between active gravitational mass and energy for a quantum body
Abstract
We determine active gravitational mass operator of the simplest composite quantum body  a hydrogen atom  within the semiclassical approach to the Einstein equation for a gravitational field. We show that the expectation value of the mass is equivalent to energy for stationary quantum states. On the other hand, it occurs that, for quantum superpositions of stationary states with constant expectation values of energy, the expectation values of the gravitational mass exhibit timedependent oscillations. This breaks the equivalence between active gravitational mass and energy and can be observed as a macroscopic effect for a macroscopic ensemble of coherent quantum states of the atoms. The corresponding experiment could be the first direct observation of quantum effects in General Relativity.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 August 2016
 DOI:
 10.1088/17426596/738/1/012036
 arXiv:
 arXiv:1609.06358
 Bibcode:
 2016JPhCS.738a2036L
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 4 pages