A quantum variant of Einstein's hole argument

I. Schmelzer

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arXiv · 0902.2040

A quantum variant of Einstein's hole argument

I. Schmelzer

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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.

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I. Schmelzer. 2009-02-12. A quantum variant of Einstein's hole argument. https://arxiv.org/abs/0902.2040

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