The background as a quantum observable: Einstein's hole argument in a quasiclassical context
Quantum Physics
2011-01-18 v2
Abstract
I consider a thought experiment measuring the decoherence for quasiclassical superpositions of gravitational field. A version of the hole argument allows to prove that a covariant (background-free) theory is completely unable to define the outcome of this experiment and is therefore not viable. Instead, the results of experiments of this type allow to reconstruct a common background shared by all superposed gravitational fields.
Cite
@article{arxiv.0909.1408,
title = {The background as a quantum observable: Einstein's hole argument in a quasiclassical context},
author = {I. Schmelzer},
journal= {arXiv preprint arXiv:0909.1408},
year = {2011}
}