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"De Broglie-Bohm theory is a 'hidden variables' formulation of quantum

mechanics initially developed by de Broglie from 1923-1927 and clarified and

extended by Bohm beginning in 1952. In non-relativistic quantum theory it

differs from the orthodox viewpoint in that the notion of 'probability' refers to the

probability that a particle is at some position, rather than to its probability of

being found there in a suitable measurement. From this seemingly subtle

difference it is easy to show that - contrary to popular belief - QM can be

interpreted as a dynamical theory of particle trajectories rather than as a

statistical theory of observation. In such a formalism the standard paradoxes

related to measurement, observation and wave function collapse (Schroedinger's

cat, and so on) largely evaporate. The classical limit does not have to be

presupposed and emerges from the theory in a relatively clear way. All the 'talk'

is replaced by sharply-defined mathematics, it becomes possible to 'visualize' the

reality of most quantum events, and - most importantly - the theory is completely

consistent with the full range of QM predictive-observational data. While some

believe the study of interpretational questions to be mere semantics or 'just

philosophy', it is often forgotten that the location of the boundary between

philosophy and physics is unknown, and that one's philosophical perspective can

guide mathematical developments. For many people it is clear that de Broglie-

Bohm theory should be studied, not only because it is beginning to make

apparently testable predictions, but also because it has the potential to suggest

possible directions towards the next generation of ideas in theoretical physics.

...

Quantum non-equilibrium and 'signal non-locality'.

Dynamical relaxation to quantum equilibrium.

Potential instabilities in the Bohm dynamics.

Possible deeper interpretations of de Broglie-Bohm theory (such as Basil

Hiley's new quantum algebra work).

Pilot-wave field theories and relativistic generalizations

De Broglie-Bohm quantum cosmology

Deconstructing' the wave function. Can the theory be reduced to 3-space

waves? Norsen's 'theory of exclusively local beables'.

Proposed experimental tests (Valentini, Riggs, etc..)

The ontological status of the theory. First or Second order?

Energy.

Empty waves.

The arguments for and against psi-epistemic hidden-variables theories.

Alternative formulations of deterministic hidden-variables theories.

Non-Markovian trajectory theories.

Comparison with the consistent histories formulation

Use of trajectories for efficient numerical simulations in quantum chemistry.

Spin, antisymmetry, the exclusion principle and the 'quantum force.'

Responses to common objections (it's not possible for particles to exist; particles going round corners ought to radiate etc.)."

-- Michael Towler, Canbridge University, Web page

Category: MyBlog

Written by Jack Sarfatti

Published on Saturday, 19 June 2010 13:33

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