Cosmic quantum measurement

Details Cosmic quantum measurement Cosmic quantum measurement

1998-11-30

arxiv.org/abs/quant-ph/9811089v1

Proc.Roy.Soc.Lond. A456 (2000) 25-37

Physics

Quantum Physics

18 pages, 3 figures, t.bbl file. Latex inserts the figures

Scientific paper

10.1098/rspa.2000.0507

Hardy's theorem states that the hidden variables of any realistic theory of quantum measurement, whose predictions agree with ordinary quantum theory, must have a preferred Lorentz frame. This presents the conflict between special relativity and any realistic dynamics of quantum measurement in a severe form. The conflict is resolved using a `measurement field', which provides a timelike function of spacetime points and a definition of simultaneity in the context of a curved spacetime. Locally this theory is consistent with special relativity, but globally, special relativity is not enough; the time dilation of general relativity and the standard cosmic time of the Robertson-Walker cosmologies are both essential. A simple but crude example is a relativistic quantum measurement dynamics based on the nonrelativistic measurement dynamics of L\"uders.

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