Bekenstein–Hawking entropy for discrete dynamical systems on sites
Keyword(s):
In this paper, we extend the notion of Bekenstein–Hawking entropy for a cover of a site. We deduce a new class of discrete dynamical system on a site and we introduce the Bekenstein–Hawking entropy for each member of it. We present an upper bound for the Bekenstein–Hawking entropy of the iterations of a dynamical system. We define a conjugate relation on the set of dynamical systems on a site and we prove that the Bekenstein–Hawking entropy preserves under this relation. We also prove that the twistor correspondence preserves the Bekenstein–Hawking entropy.
1984 ◽
Vol 4
(3)
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pp. 421-486
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1994 ◽
Vol 49
(3)
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pp. 469-481
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1995 ◽
Vol 51
(2)
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pp. 273-286
2012 ◽
Vol 479-481
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pp. 711-714
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2008 ◽
Vol 18
(05)
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pp. 1425-1433
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