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

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**A relativistic hidden-variable interpretation for the massive vector field based on energy-momentum flows.** / Horton, G.; Dewdney, Chris.

Research output: Contribution to journal › Article › peer-review

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*Foundations of Physics*, vol. 40, no. 6, pp. 658-678. https://doi.org/10.1007/s10701-010-9456-9

### APA

*Foundations of Physics*,

*40*(6), 658-678. https://doi.org/10.1007/s10701-010-9456-9

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### RIS

TY - JOUR

T1 - A relativistic hidden-variable interpretation for the massive vector field based on energy-momentum flows

AU - Horton, G.

AU - Dewdney, Chris

PY - 2010/6

Y1 - 2010/6

N2 - 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.

AB - 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.

U2 - 10.1007/s10701-010-9456-9

DO - 10.1007/s10701-010-9456-9

M3 - Article

VL - 40

SP - 658

EP - 678

JO - Foundations of Physics

JF - Foundations of Physics

SN - 0015-9018

IS - 6

ER -

ID: 47116