Foundations of Physics 40 (3):313-332 (2010)

The covariant Klein-Gordon equation requires twice the boundary conditions of the Schrödinger equation and does not have an accepted single-particle interpretation. Instead of interpreting its solution as a probability wave determined by an initial boundary condition, this paper considers the possibility that the solutions are determined by both an initial and a final boundary condition. By constructing an invariant joint probability distribution from the size of the solution space, it is shown that the usual measurement probabilities can nearly be recovered in the non-relativistic limit, provided that neither boundary constrains the energy to a precision near ℏ/t 0 (where t 0 is the time duration between the boundary conditions). Otherwise, deviations from standard quantum mechanics are predicted
Keywords Relativistic quantum mechanics  Classical fields  Quantum foundations
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DOI 10.1007/s10701-009-9398-2
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References found in this work BETA

Time-Symmetric Quantum Mechanics.K. B. Wharton - 2007 - Foundations of Physics 37 (1):159-168.
Time's Arrows and Quantum Measurement.H. Price - 1998 - British Journal for the Philosophy of Science 49 (3):522-525.
Quantum Mechanics: Myths and Facts. [REVIEW]Hrvoje Nikolić - 2007 - Foundations of Physics 37 (11):1563-1611.
Quantum Gravity.Carlo Rovelli - 2007 - Cambridge University Press.

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Citations of this work BETA

Toy Models for Retrocausality.Huw Price - 2008 - Studies in Studies in History and Philosophy of Modern Physics 39 (4):752-761.
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Does Time-Symmetry Imply Retrocausality? How the Quantum World Says “Maybe”?Huw Price - 2012 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (2):75-83.
Retrocausality at No Extra Cost.Peter William Evans - 2015 - Synthese 192 (4):1139-1155.

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