Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incorporating action and reaction into a particle interpretation for
  quantum mechanics -- Dirac case   A weakness which has previously seemed unavoidable in particle
interpretations of quantum mechanics (such as in the de Broglie-Bohm model) is
addressed here and a resolution proposed. The weakness in question is the lack
of action and reaction occurring between the model's field (or "pilot wave")
and the particle. Although the field acts on the particle, the particle does
not act back on the field. It is shown here that this rather artificial feature
is, in fact, not necessary and can be fully eliminated while remaining
consistent with the usual quantum predictions. Mathematically this amounts to
demonstrating that there exists a suitable Lagrangian density function which
generates equations coinciding with quantum mechanics yet incorporates the
desired action and reaction. As a by-product, an appealing explanation emerges
to another long-standing question, namely why the mathematical formalism of
quantum mechanics seems only to be describing fields when measurements
generally detect localised particles. A further bonus is that the hitherto
unrelated concept of a gauge transformation is found to arise naturally as an
essential part of the formalism. In particular, the phase S of the gauge
transformation is seen to be the action function describing the hidden motion
of the particle.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat