Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure of Probabilistic Information and Quantum Laws   In quantum experiments the acquisition and representation of basic
experimental information is governed by the multinomial probability
distribution. There exist unique random variables, whose standard deviation
becomes asymptotically invariant of physical conditions. Representing all
information by means of such random variables gives the quantum mechanical
probability amplitude and a real alternative. For predictions, the linear
evolution law (Schrodinger or Dirac equation) turns out to be the only way to
extend the invariance property of the standard deviation to the predicted
quantities. This indicates that quantum theory originates in the structure of
gaining pure, probabilistic information, without any mechanical underpinning.

15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci