# A Relativistic Hidden-Variable Interpretation for the Massive Vector Field Based on Energy-Momentum Flows

@article{Horton2010ARH, title={A Relativistic Hidden-Variable Interpretation for the Massive Vector Field Based on Energy-Momentum Flows}, author={G. Horton and C. Dewdney}, journal={Foundations of Physics}, year={2010}, volume={40}, pages={658-678} }

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…

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- 2018

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## References

SHOWING 1-10 OF 26 REFERENCES

A relativistically covariant version of Bohm's quantum field theory for the scalar field

- Physics
- 2004

We give a relativistically covariant, wave-functional formulation of Bohm's quantum field theory for the scalar field based on a general foliation of spacetime by space-like hypersurfaces. The wave…

A non-local, Lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories

- Physics
- 2001

We demonstrate how to construct a Lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories. The covariant theory that we propose employs a…

Time-like flows of energy momentum and particle trajectories for the Klein-Gordon equation

- Physics
- 2000

The Klein-Gordon equation is interpreted in the de Broglie-Bohm manner as a single-particle relativistic quantum mechanical equation that defines unique time-like particle trajectories. The particle…

On the foundations of relativistic energy mechanics

- Physics
- 1963

SummaryThe Einstein theory of general relativity is shown to yield a general mechanics of continuous media under the assumption that the momentum-energy tensor admits a unique timelike eigenvector.…

Quantum fields in curved spacetime

- 1997

For the O(N) field theory with λΦ4 self-coupling, we construct the twoparticle-irreducible (2PI), closed-time-path (CTP) effective action in a general curved spacetime. From this we derive a set of…

Classical physics as geometry

- Physics
- 1957

If classical physics be regarded as comprising gravitation, source free electromagnetism, unquantized charge, and unquantized mass of concentrations of electromagnetic field energy (geons), then…

de Broglie's Pilot-Wave Theory for the Klein–Gordon Equation and Its Space-Time Pathologies

- Mathematics, Physics
- 2001

We illustrate, using a simple model, that in the usual formulation the time-component of the Klein–Gordon current is not generally positive definite even if one restricts allowed solutions to those…

Lectures on Non-Perturbative Canonical Gravity

- Physics
- 1991

Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of…

Quantum fields in curved space-times

- MathematicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1975

The problem of obtaining a quantum description of the (real) KleinGordon system in a given curved space-time is discussed. An algebraic approach is used. The *-algebra of quantum operators is…

Quantum field theory

- Physics
- 1956

This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian…