Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Photon Gas at the Planck Scale within the Doubly Special Relativity   Within the approach to doubly special relativity (DSR) suggested by Magueijo
and Smolin, a new algebraically justified rule of so-called $\kappa$-addition
for the energies of identical particles is proposed. This rule permits to
introduce the nonlinear $\kappa$-dependent Hamiltonian for one-mode
multi-photon (sub)system. On its base, with different modes treated as
independent, the thermodynamics of black-body radiation is explored within DSR,
and main thermodynamic quantities are obtained. In their derivation, we use
both the analytical tools within mean field approximation (MFA) and numerical
evaluations based on exact formulas. The entropy of one-mode subsystem turns
out to be finite (bounded). Another unusual result is the existence of
threshold temperature above which radiation is present. Specific features of
the obtained results are explained and illustrated with a number of plots.
Comparison with some works of relevance is given.

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The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex