Linearly Positive Histories: Probabilities for a Robust Family of Sequences of Quantum Events

Sheldon Goldstein and Don N. Page
Phys. Rev. Lett. 74, 3715 – Published 8 May 1995
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Abstract

Non-negative probabilities that obey the sum rules may be assigned to a much wider family of sets of histories than decohering histories. The resulting linearly positive histories avoid the highly restrictive decoherence conditions and yet give the same probabilities when those conditions apply. Thus linearly positive histories are a broad extension of decohering histories. Moreover, the resulting theory is manifestly time-reversal invariant.

  • Received 29 March 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.3715

©1995 American Physical Society

Authors & Affiliations

Sheldon Goldstein

  • Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903

Don N. Page

  • CIAR Cosmology Program, Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2J1

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Vol. 74, Iss. 19 — 8 May 1995

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