A quantum variant of Einstein's hole argument
Quantum Physics
2009-02-13 v1
Abstract
We extend Einstein's hole argument into the quantum domain, and argue that quantum observables for quasiclassical superpositional states of gravitational fields require additional information to be well-defined, namely, relative positions of the gravitational fields involved in superpositional states. As a consequence, for the definition of these quantum observables we need a common background. The observable is a transition probability in a simple double-slit experiment with partial gravitational measurement of position. It may be easily computed in non-relativistic Schroedinger theory with Newtonian potential.
Cite
@article{arxiv.0902.2040,
title = {A quantum variant of Einstein's hole argument},
author = {I. Schmelzer},
journal= {arXiv preprint arXiv:0902.2040},
year = {2009}
}