Foundations of QM and GR Journal Club

On Gravity's Role in Quantum State Reduction

by Yaron Kedem

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10
Description

Roger Penrose

Gen. Relativ. Gravit. 28, 581–600 (1996)

The stability of a quantum superposition of two different stationary mass distributions is examined, where the perturbing effect of each distribution on the space-time structure is taken into account, in accordance with the principles of general relativity. It is argued that the definition of the time-translation operator for the superposed space-times involves an inherent ill-definedness, leading to an essential uncertainty in the energy of the superposed state which, in the Newtonian limit, is proportional to the gravitational self-energy $E_{\Delta}$ of the difference between the two mass distributions. This is consistent with a suggested finite lifetime of the order of $\hbar /  E_{\Delta}$ 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 Ghirardi et al.