On Gravity's role in Quantum State Reduction
Abstract
The stability of a quantum superposition of two different stationary mass distributions is examined, where the perturbing effect of each distribution on the spacetime structure is taken into account, in accordance with the principles of general relativity. It is argued that the definition of the timetranslation operator for the superposed spacetimes involves an inherent illdefinedness, leading to an essential uncertainty in the energy of the superposed state which, in the Newtonian limit, is proportional to the gravitational selfenergyE _{Δ} of the difference between the two mass distributions. This is consistent with a suggested finite lifetime of the order of ħ/E _{Δ} for the superposed state, in agreement with a certain proposal made by the author for a gravitationally induced spontaneous quantum state reduction, and with closely related earlier suggestions by Diósi and by Ghirardiet al.
 Publication:

General Relativity and Gravitation
 Pub Date:
 May 1996
 DOI:
 10.1007/BF02105068
 Bibcode:
 1996GReGr..28..581P