Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Size of Compact Extra Dimensions from Blackbody Radiation Laws   In this work we generalize the Stefan-Boltzmann and Wien's displacement laws
for a $D$-dimensional manifold composed by 4 non-compact dimensions and $D-4$
compact dimensions, $ R^{1,3}$ x $T^{D-4} $. The electromagnetic field is
assumed to pervade all compact and non-compact dimensions. In particular, the
total radiated power becomes $ R(T) = \sigma_B T^4 + \sigma_D (a) \, T^D $,
where $a$ is the size of the compact extra dimensions. For $D=10$, predicted
from String Theory, and $D=11$, from M-Theory, the outcomes agree with
available experimental data for $a$ as high as 2 x $10^{-7}$m.

20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics