Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simple way of unifying the formulas for the Coulomb's law and Newton's
  law of the universal gravitation: An approach based on membranes   In this work, a new approach is presented with the aim of showing a simple
way of unifying the classical formulas for the forces of the Coulomb's law of
electrostatic interaction ($F_C$) and the Newton's law of universal gravitation
$(F_G)$. In this approach, these two forces are of the same nature and are
ascribed to the interaction between two membranes that oscillate according to
different curvature functions with the same spatial period $\xi\pi/k$ where
$\xi$ is a dimensionless parameter and $k$ a wave number. Both curvature
functions are solutions of the classical wave equation with wavelength given by
the de Broglie relation. This new formula still keeps itself as the inverse
square law, and it is like $F_C$ when the dimensionless parameter $\xi =274$
and like $F_G$ when $\xi = 1.14198$x$10^{45}$. It was found that the values of
the parameter $\xi$ quantize the formula from which $F_C$ and $F_G$ are
obtained as particular cases.

6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas