On the conjectured gravity-related collapse rate $E_{\Delta }/\hslash$ of massive quantum superpositions

Abstract

Roger Penrose and the author share the proposal that the spatial superposition $|x_1⟩+|x_2⟩$ of a massive object collapses into its localized components $|x_1⟩$ or $|x_2⟩$ with the characteristic time $\hslash /E_{\Delta }$ where $E_{\Delta }$ is the gravitational self-energy excess of the superposition versus the localized states. Underlying arguments of such radical departure from standard quantum mechanics and different derivations of the rate equation are briefly recapitulated and discussed.

arXiv comment4pp, Contribution to AIP Special Topic Collection "Celebrating Sir Roger Penrose's Nobel Prize"

References in corpus (3)

• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Principle of least decoherence for Newtonian semi-classical gravity
• Planck length challenges non-relativistic quantum mechanics of large masses

Cited by in corpus (4)

• The Quantum Measurement Problem: A Review of Recent Trends
• Conditions for graviton emission in the recombination of a delocalized mass
• The case of Quantum Gravity with Spontaneous Collapse of the Wave Function
• How long single-photon detectors stay in quantum superpositions during detection according to the Diósi-Penrose criterion