Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The case for a non-expanding universe   We present the results of two empirical constancies: the fine structure
constant and the Rydberg constant. When the speed of light c is taken away from
the fine structure constant, as shown elsewhere, this constancy implies the
constancy of the ratio e^2/h, e the charge of the electron and h Planck
constant. This forces the charge of the electron e to be constant as long as
the action h (an angular momentum) is a true constant too. Then the constancy
of the Rydberg expression implies that the momentum mc is also a true constant.
This is just the second law of Newton. The Compton wavelength, h/mc, is then a
true constant and there is no expansion at the quantum mechanical level.
General relativity then predicts that the universe is not expanding. It is the
only solution for cosmology. The time variation of the speed of light explains
the observed red shift.

22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph