Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polarization Coherence Theorem   Visibility $V$ and distinguishability $D$ quantify wave-ray duality: $V^2 +
D^2 \le 1$. We join them to polarization $P$ via the Polarization Coherence
Theorem, a tight equality: $P^2 = V^2 + D^2$.

24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin