Foundations of Physics 40 (6):658-678 (2010)

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
Keywords Hidden variable  de Broglie Bohm  Massive vector field  Stress energy momentum tensor  Eigen vectors
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DOI 10.1007/s10701-010-9456-9
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Relativity: The Special Theory.J. L. Synge - 1965 - Interscience Publishers, New York,].

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