Consistent Sets Yield Contrary Inferences in Quantum Theory

Details Consistent Sets Yield Contrary Inferences in Quantum Theory Consistent Sets Yield Contrary Inferences in Quantum Theory

1996-04-04

arxiv.org/abs/gr-qc/9604012v2

Phys.Rev.Lett.78:2874-2877,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, TeX with harvmac. Revised version, with extended discussion and references added. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.78.2874

In the consistent histories formulation of quantum theory, the probabilistic predictions and retrodictions made from observed data depend on the choice of a consistent set. We show that this freedom allows the formalism to retrodict contrary propositions which correspond to orthogonal commuting projections and which each have probability one. We also show that the formalism makes contrary probability one predictions when applied to Gell-Mann and Hartle's generalised time-neutral quantum mechanics.

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