On Diósi-Penrose Criterion of Gravity-Induced Quantum Collapse

It is shown that the Diósi-Penrose criterion of gravity-induced quantum collapse may be inconsistent with the discreteness of space–time, which is generally considered as an indispensable element in a complete theory of quantum gravity. Moreover, the analysis also suggests that the discreteness of space–time may result in rapider collapse of the superposition of energy eigenstates than required by the Diósi-Penrose criterion.