Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Mechanics as a Gauge Theory   We show that non-relativistic Quantum Mechanics can be faithfully represented
in terms of a classical diffusion process endowed with a gauge symmetry of
group Z_4. The representation is based on a quantization condition for the
realized action along paths. A lattice regularization is introduced to make
rigorous sense of the construction and then removed. Quantum mechanics is
recovered in the continuum limit and the full U(1) gauge group symmetry of
electro-magnetism appears. Anti-particle representations emerge naturally,
albeit the context is non-relativistic. Quantum density matrices are obtained
by averaging classical probability distributions over phase-action variables.
We find that quantum conditioning can be described in classical terms but not
through the standard notion of sub sigma-algebras. Delicate restrictions arise
by the constraint that we are only interested in the algebra of gauge invariant
random variables. We conclude that Quantum Mechanics is equivalent to a theory
of gauge invariant classical stochastic processes we call Stochastic Mechanics.

27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom