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In a recent paper Griffiths claims that the consistent histories interpretation of quantum mechanics gives rise to results that contradict those obtained from the Bohm interpretation. This is in spite of the fact that both claim to provide…

Quantum Physics · Physics 2007-05-23 B. J. Hiley , O. J. E. Maroney

In this work a generalization of the consistent histories approach to quantum mechanics is presented. We first critically review the consistent histories approach to nonrelativistic quantum mechanics in a mathematically rigorous way and…

Quantum Physics · Physics 2009-10-28 Oliver Rudolph

We review the consistent histories formulations of quantum mechanics developed by Griffiths, Omn\`es and Gell-Mann and Hartle, and describe the classification of consistent sets. We illustrate some general features of consistent sets by a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Fay Dowker , Adrian Kent

I review the decoherent (or consistent) histories approach to quantum mechanics, due to Griffiths, to Gell-Mann and Hartle, and to Omnes. This is an approach to standard quantum theory specifically designed to apply to genuinely closed…

General Relativity and Quantum Cosmology · Physics 2011-04-15 J. J. Halliwell

It was pointed out recently [A. Kent, Phys. Rev. Lett. 78 (1997) 2874] that the consistent histories approach allows contrary inferences to be made from the same data. These inferences correspond to projections $P$ and $Q$, belonging to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Adrian Kent

The foundations of quantum mechanics have been plagued by controversy throughout the 85 year history of the field. It is argued that lack of clarity in the formulation of basic philosophical questions leads to unnecessary obscurity and…

Quantum Physics · Physics 2013-11-13 P. C. Hohenberg

In a recent paper Kent has pointed out that in consistent histories quantum theory it is possible, given initial and final states, to construct two different consistent families of histories, in each of which there is a proposition that can…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Robert B. Griffiths , James B. Hartle

In consistent history quantum theory, a description of the time development of a quantum system requires choosing a framework or consistent family, and then calculating probabilities for the different histories which it contains. It is…

Quantum Physics · Physics 2009-10-30 Robert B. Griffiths

Interpretational questions that arise in the Consistent Histories formulation of quantum mechanics are illustrated by the familiar example of a beam passing through multiple slits.

Quantum Physics · Physics 2007-05-23 J. Finkelstein

In the consistent histories formulation of quantum theory it was shown that it is possible to retrodict contrary properties. We show that this problem do not appear in our formalism of generalized contexts for quantum histories.

Quantum Physics · Physics 2015-06-19 Marcelo Losada , Roberto Laura

The consistent histories formulation of the quantum theory of a closed system with pure initial state defines an infinite number of incompatible consistent sets, each of which gives a possible description of the physics. We investigate the…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Adrian Kent , Jim McElwaine

Robert Griffiths has recently addressed, within the framework of a 'consistent quantum theory' that he has developed, the issue of whether, as is often claimed, quantum mechanics entails a need for faster-than-light transfers of information…

Quantum Physics · Physics 2015-06-03 Henry P. Stapp

This paper presents an elementary introduction to Consistent Quantum Theory (CQT), as developed by Griffiths and others over the past 25 years. The theory is a version of orthodox(Copenhagen) quantum mechanics, based on the notion that the…

Quantum Physics · Physics 2010-12-06 Pierre C. Hohenberg

Precise rules are developed in order to formalize the reasoning processes involved in standard non-relativistic quantum mechanics, with the help of analogies from classical physics. A classical or quantum description of a mechanical system…

Quantum Physics · Physics 2007-05-23 Robert B. Griffiths

Traditional interpretations of quantum theory in terms of wave function collapse are particularly unappealing when considering the universe as a whole, where there is no clean separation between classical observer and quantum system and…

Quantum Physics · Physics 2011-06-06 Ed Seidewitz

It will be presented in this chapter a historical account of the consistent histories interpretation of quantum mechanics based on primary and secondary literature. Firstly, the formalism of the consistent histories approach will be…

History and Philosophy of Physics · Physics 2021-03-10 Gustavo Rodrigues Rocha , Dean Rickles , Florian J. Boge

The consistent histories approach to quantum mechanics is traditionally based on linearly ordered sequences of events. We extend the histories formalism to sets of events whose causal ordering is described by directed acyclic graphs. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. F. Blute , I. T. Ivanov , P. Panangaden

Recent work with Dowker on the scientific status of the consistent histories approach to quantum theory is reviewed and summarised. The approach is compared with formulations of quantum theory, such as Bohmian mechanics and the Copenhagen…

Quantum Physics · Physics 2008-02-03 Adrian Kent

In the consistent histories formalism one specifies a family of histories as an exhaustive set of pairwise exclusive descriptions of the dynamics of a quantum system. We define branching families of histories, which strike a middle ground…

Quantum Physics · Physics 2007-05-23 Thomas Müller

The Consistent Histories (CH) formalism aims at a quantum mechanical framework which could be applied even to the universe as a whole. CH stresses the importance of histories for quantum mechanics, as opposed to measurements, and maintains…

General Relativity and Quantum Cosmology · Physics 2014-02-17 Elias Okon , Daniel Sudarsky
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