Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proof of the entropy bound on dynamical horizons   The entropy bound conjecture concerning black hole dynamical horizons is
proved. The conjecture states, if a dynamical horizon, $D_H$, is bounded by two
surfaces with areas of $A_B$ and $\abp$ ($\abp>A_B$), then the entropy, $S_D$,
that crosses $D_H$ must satisfy $S_D\leq {1/4}(\abp-A_B)$. We show that this
conjecture is implied by the generalized Bousso bound. Consequently, the
generalized second law holds for dynamical horizons. Finally, we show that the
lightlike bousso bound and its spacelike counterpart can be unified as one
bound.

17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ