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Bekenstein–Hawking entropy for discrete dynamical systems on sites

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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… Click to show full abstract

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.

Keywords: systems sites; dynamical systems; hawking entropy; bekenstein hawking; discrete dynamical; entropy discrete

Journal Title: Modern Physics Letters A
Year Published: 2019

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