On Di\'osi-Penrose criterion of gravity-induced quantum collapse

TL;DR

This paper critically examines the Diási-Penrose criterion for gravity-induced quantum collapse, highlighting potential inconsistencies with space-time discreteness and its implications for collapse dynamics.

Contribution

It reveals possible conflicts between the Diási-Penrose criterion and the fundamental discreteness of space-time in quantum gravity theories.

Findings

The Diási-Penrose criterion may be incompatible with space-time discreteness.

Discreteness of space-time could lead to faster quantum state collapse.

Potential need to revise collapse models considering quantum gravity effects.

Abstract

It is shown that the Di\'osi-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 Di\'osi-Penrose criterion.