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Context, spacetime loops and the interpretation of quantum mechanics

Andrew M Steane

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Three postulates are discussed: first that well-defined properties cannot be assigned to an isolated system, second that quantum unitary evolution is atemporal, and third that some physical processes are never reversed. It is argued that these give useful insight into quantum behaviour. The first postulate emphasizes the fundamental role in physics of interactions and correlations, as opposed to internal properties of systems. Statements about physical interactions can only be framed in a context of further interactions. This undermines the possibility of objectivity in physics. However, quantum mechanics retains objectivity through the combination of the second and third postulates. A rule is given for determining the circumstances in which physical evolution is non-unitary. This rule appeals to the absence of spacetime loops in the future evolution of a set of interacting systems. A single universe undergoing non-unitary evolution is a viable interpretation.


PACS

03.65.Ca Formalism

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

03.65.Ta Foundations of quantum mechanics; measurement theory

MSC

83C75 Space-time singularities, cosmic censorship, etc.

81P15 Quantum measurement theory

Subjects

Gravitation and cosmology

Quantum information and quantum mechanics

Dates

Issue 12 (23 March 2007)

Received 1 September 2006, in final form 20 December 2006

Published 7 March 2007



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