Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The de Broglie-Bohm weak interpretation   We define the de Broglie-Bohm (dBB) weak interpretation as the dBB
interpretation restricted to particles in unbound states whose wave function is
defined in the three-dimensional physical space, and the dBB strong
interpretation as the usual dBB interpretation applied to all wave functions,
in particular to particles in bound states whose wave function is defined in a
3N-dimensional configuration space in which N is the number of particules. We
show that the current criticisms of the dBB interpretation do not apply to this
weak interpretation and that, furthermore, there are theoritical and
experimental reasons to justify the weak dBB interpretation. Theoretically, the
main reason concern the continuity existing for such particles between quantum
mechanics and classical mechanics: we demonstrate in fact that the density and
the phase of the wave function of a single-particle (or a set of identical
particles without interaction), when the Planck constant tends to 0, converges
to the density and the action of a set of unrecognizable prepared classical
particles that satisfy the statistical Hamilton-Jacobi equations. As the
Hamilton-Jacobi action pilots the particle in classical mechanics, this
continuity naturally concurs with the weak dBB interpretation. Experimentally,
we show that the measurement results of the main quantum experiments (Young's
slits experiment, Stern and Gerlach, EPR-B) are compatible with the de
Broglie-Bohm weak interpretation and everything takes place as if these
unbounded particles had trajectories. In addition, we propose two potential
solutions to complete the dBB weak interpretation.

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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph