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- W2898866312 abstract "Continuity as appears to us immediately by intuition (in the flow of time and in motion) differs from its current formalization, the {it arithmetical continuum} or equivalently the set of real numbers used in modern mathematical analysis. Motivated by the known mathematical and physical problems arising from this formalization of the continuum, our aim in this paper is twofold. Firstly, by interpreting Chaitin's variant of Godel's first incompleteness theorem as an inherent uncertainty or fuzziness of the arithmetical continuum, a formal set-theoretic entropy is assigned to the arithmetical continuum. Secondly, by analyzing Noether's theorem on symmetries and conserved quantities, we argue that whenever the four dimensional space-time continuum containing a single, stationary, asymptotically flat black hole is modeled by the arithmetical continuum in the mathematical formulation of general relativity, the hidden set-theoretic entropy of this latter structure reveals itself as the entropy of the black hole (proportional to the area of its instantaneous event horizon), indicating that this apparently physical quantity might have a pure set-theoretic origin only." @default.
- W2898866312 created "2018-11-09" @default.
- W2898866312 creator A5022912024 @default.
- W2898866312 date "2018-10-29" @default.
- W2898866312 modified "2023-09-27" @default.
- W2898866312 title "On a possibly pure set-theoretic origin of black hole entropy" @default.
- W2898866312 hasPublicationYear "2018" @default.
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