Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Gravitational Energy Shift for matter waves   The gravitational energy shift for photons is extended to all mass-equivalent
energies $E = mc^2$, obeying the quantum condition $E = h\nu$.On an example of
a relativistic binary system, it was shown that the gravitational energy shift
would imply,in contrast to Newtonian gravity, the gravitational attraction
between full mass-equivalent energies. The corresponding space-time metric
becomes exponential. A good agreement was found with all results of weak field
tests of General relativity. The strong field effects in a binary system can be
easily studied. A long standing problems of Pioneer and other flyby anomalies
were also discussed in connection with the violation of total energy
conservation. It was shown that relatively small energy non-conservation during
the change of the orbit type could explain these persistent anomalies.

32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat