Does the Equivalence between Gravitational Mass and Energy Survive for a Quantum Body?
Abstract
It is shown that passive gravitational mass operator of a hydrogen atom in the postNewtonian approximation of the general relativity does not commute with its energy operator, taken in the absence of gravitational field. Nevertheless, the equivalence between the expectation values of passive gravitational mass and energy is shown to survive at a macroscopic level for stationary quantum states. Breakdown of the equivalence between passive gravitational mass and energy at a microscopic level for stationary quantum states can be experimentally detected by studying unusual electromagnetic radiation, emitted by the atoms, supported and moved in the Earth gravitational field with constant velocity using spacecraft or satellite.
 Publication:

Progress in Physics
 Pub Date:
 October 2012
 DOI:
 10.48550/arXiv.1208.5756
 arXiv:
 arXiv:1208.5756
 Bibcode:
 2012PrPh....8d..31L
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 Talk at the 13th Marcel Grossmann Meeting on General Relativity (Stockholm, Sweden, 17 July 2012), to be published in the proceedings of the Meeting