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A relativistic hidden-variable interpretation for the massive vector field based on energy-momentum flows

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  • G. Horton
  • Chris Dewdney
This paper is motivated by the desire to formulate a relativistically covariant hidden-variable particle trajectory interpretation of the quantum theory of the vector field that is formulated in such a way as to allow the inclusion of gravity. We present a methodology for calculating the flows of rest energy and a conserved density for the massive vector field using the time-like eigenvectors and eigenvalues of the stress-energy-momentum tensor. Such flows may be used to define particle trajectories which follow the flow. This work extends our previous work which used a similar procedure for the scalar field. The massive, spin-one, complex vector field is discussed in detail and the flows of energy-momentum are illustrated in a simple example of standing waves in a plane.
Original languageEnglish
Pages (from-to)658-678
Number of pages21
JournalFoundations of Physics
Issue number6
Publication statusPublished - Jun 2010

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