1304.0471 (Maaneli Derakhshani)

Newtonian Semiclassical Gravity based on the GRWm Collapse Theory    [PDF]

Maaneli Derakhshani

We propose a Newtonian theory of semiclassical gravity based on the GRWm collapse theory, which we call GRWmN. The theory essentially amounts to modifying the Schroedinger-Newton (SN) equations of standard semiclassical gravity so that the SN wavefunction undergoes random collapses according to the GRW law. The primary motivation for this theory is to suppress `cat state' solutions that arise from macroscopic superpositions, thereby ensuring that a semiclassical gravity field is macroscopically sourced by a single mass density occupying a single space-time volume. We apply the theory to the mass scale at which Giulini and Grossardt have numerically found the standard SN equations to predict gravitational wavepacket localization, and examine the possibility of experimentally observing the predicted GRWmN collapse on top of gravitational wavepacket localization. We also consider the possibility of a general relativistic extension of GRWmN, and argue why, in our view, semiclassical gravity theories such as GRWmN are worthwhile to develop.

View original: http://arxiv.org/abs/1304.0471