Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: MOND, dark matter, and conservation of energy   The MOND equation $m \vec a \mu(a) = \vec F$ could be transformed to the
equivalent form $m \vec a = \vec{F'}$, where $\Vec{F'}$ is a transformed force.
Using this transformation we argue that MOND could not avoid introducing dark
matter, and introduces nonconservative terms to the equations of motion.

13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci