Some Classical and Quantum Aspects of Gravitoelectromagnetism

Abstract

It has been shown that, even in linear gravitation, the curvature of space-time can induce ground state degeneracy in quantum systems, break the continuum symmetry of the vacuum and give rise to condensation in a system of identical particles. Condensation takes the form of a temperature-dependent correlation over distances, of momenta oscillations about an average momentum, of vortical structures and of a positive gravitational susceptibility. In the interaction with quantum matter and below a certain range, gravity is carried by an antisymmetric, second order tensor that satisfies Maxwell-type equations. Some classical and quantum aspects of this type of “gravitoelectromagnetism” were investigated. Gravitational analogues of the laws of Curie and Bloch were found for a one-dimensional model. A critical temperature for a change in phase from unbound to isolated vortices can be calculated using an XY-model.

Gravitomagnetic Stern–Gerlach Force

“…The purpose of this section is to discuss spin-gravity coupling for linearized gravitational waves; in particular, we are interested in the corresponding Stern–Gerlach force. For related studies, see [ 78 , 79 , 80 , 81 , 82 , 83 , 84 , 85 ] and the references cited therein.…”

Gravitomagnetic Stern--Gerlach Force

“…The purpose of this section is to discuss spin-gravity coupling for linearized gravitational waves; in particular, we are interested in the corresponding Stern-Gerlach force. For related studies, see [75][76][77][78][79][80][81][82] and the references cited therein.…”

Editorial: Interaction between macroscopic quantum systems and gravity

“…The starting point is the Klein-Gordon equation for an ensemble of charged spinless bosons (Cooper pairs), flowing against a positively charged lattice background. The author then exploits the correspondent solutions to reobtain the DeWitt results following the lines of [17], in a formalism where gravity is present in the wavefunction of a quantum system as a classical external field [5]. The proposed analysis gives some insights into the symmetry violations of the vacuum of the considered system.…”