Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: To quantum mechanics through random fluctuations at the Planck time
  scale   We show that (in contrast to a rather common opinion) QM is not a complete
theory. This is a statistical approximation of classical statistical mechanics
on the {\it infinite dimensional phase space.} Such an approximation is based
on the asymptotic expansion of classical statistical averages with respect to a
small parameter $\alpha.$ Therefore statistical predictions of QM are only
approximative and a better precision of measurements would induce deviations of
experimental averages from quantum mechanical ones. In this note we present a
natural physical interpretation of $\alpha$ as the time scaling parameter
(between quantum and prequantum times). By considering the Planck time $t_P$ as
the unit of the prequantum time scale we couple our prequantum model with
studies on the structure of space-time on the Planck scale performed in general
relativity, string theory and cosmology. In our model the Planck time $t_P$ is
not at all the {\it "ultimate limit to our laws of physics"} (in the sense of
laws of classical physics). We study random (Gaussian) infinite-dimensional
fluctuations for prequantum times $s\leq t_P$ and show that quantum mechanical
averages can be considered as an approximative description of such
fluctuations.

11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con