36 research outputs found
Relativistically invariant extension of the de Broglie-Bohm theory of quantum mechanics
We show that quantum mechanics can be given a Lorentz-invariant realistic
interpretation by applying our recently proposed relativistic extension of the
de Broglie-Bohm theory to deduce non-locally correlated, Lorentz-invariant
individual particle motions for the Einstein-Podolsky-Rosen experiment and the
double-interferometer experiment proposed by Horne, Shimony and Zeilinger.Comment: Revised version thanks to the referees comments. 4 pages, 4 figure
A non-local, Lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories
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 multi-time
formalism and a lorentz-invariant rule for the coordination of the space-time
points on the individual particle trajectories. In this way we show that there
is no contradiction between nonlocality and lorentz invariance in quantum
mechanics. The approach is illustrated for relativistic bosons, using a simple
model to discuss the individual non-locally correlated particle motion which
ensues when the wavefunction is entangled. A simple example of measurement is
described.Comment: 12 pages, 2 figure
A relativistically covariant version of Bohm's quantum field theory for the scalar field
We give a relativistically covariant, wave-functional formulation of Bohm's
quantum field theory for the scalar field based on a general foliation of
space-time by space-like hypersurfaces. The wave functional, which guides the
evolution of the field, is space-time-foliation independent but the field
itself is not. Hence, in order to have a theory in which the field may be
considered a beable, some extra rule must be given to determine the foliation.
We suggest one such rule based on the eigen vectors of the energy-momentum
tensor of the field itself.Comment: 1 figure. Submitted to J Phys A. 20/05/04 replacement has additional
references and a few minor changes made for clarity. Accepted by J Phys
Time-like flows of energy-momentum and particle trajectories for the Klein-Gordon equation
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 trajectories are determined by
the conserved flow of the intrinsic energy density which can be derived from
the specification of the Klein-Gordon energy-momentum tensor in an
Einstein-Riemann space. The approach is illustrated by application to the
simple single-particle phenomena associated with square potentials.Comment: 14 pages, 11 figure
The Psychic Symbolism of Reinhard Reitzenstein
Looking at Reitzenstein's work in relation to alchemy, aboriginal culture, and ecological concerns, Dewdney discusses his outdoor installations while Fraser analyses his sculpture. Biographical notes. 26 bibl. ref