Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards an Exact Mechanical Analogy of Particles and Fields   An exact analogy of electromagnetic fields and particles can be found in
continuum mechanics of a turbulent perfect fluid with voids. Deviations of the
turbulence from a homogeneous isotropic state correspond to electromagnetic
fields: with the average pressure as electrostatic potential, the average fluid
velocity as magnetic vector potential and the density of the average turbulence
energy as electromotive force. The waves of turbulence perturbation model the
electromagnetic waves. Cavities of the fluid serve as walls to support
stationary perturbations of turbulence. Cavitation of the turbulent
noncorpuscular fluid occurring in the presence of voids leads to forming
dilatational inclusions of empty space and of the quiescent fluid. These model
the positive and negative electrically charged particles, respectively. Due to
the dilatation, the inclusions interact with the turbulence perturbation
fields. This looks exactly as interaction of the charges with the
electromagnetic fields. Splitting and dispersion of an inclusion in the
stochastic environment model delocalization of a quantum particle.

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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: math
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th