linkedin post 2021-06-02 04:18:34

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SAVING THE 2ND LAW. “Historically, the idea to associate the black-hole surface area with entropy was suggested by Bekenstein in order to save the validity of the second law of thermodynamics in a gedanken experiment in which an entropy-bearing object falls into a black hole.” https://lnkd.in/d3sfhP6 View in LinkedIn
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linkedin post 2021-06-02 04:19:35

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NO KNOWLEDGE IS A PRIORI. “Indeed, for Quine, nothing is knowable a priori. The thesis is that everything in the web— the mundane beliefs about the physical world, the scientific theories, the mathematics, the logic, the connections of meaning—is up for revision if the "data" become sufficiently recalcitrant.” https://lnkd.in/dWBTyPy View in LinkedIn
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linkedin post 2021-06-03 04:28:07

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DERIVATIVE 2ND LAW. “Following this bold conjecture, Bekenstein proposed a generalized version of the second law of thermodynamics, according to which the sum of black-hole entropy...and the ordinary entropy of matter and radiation fields in the black-hole exterior region never decreases.” https://lnkd.in/d3sfhP6 View in LinkedIn
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linkedin post 2021-06-03 04:29:22

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STRESS TEST POSITIVE. “In particular, it was shown by Bekenstein that, in the regime r+(r+ − r−) ≫ μR of black holes which are far from extremality, an entropy bound of the form ensures the validity of the GSL in the famous gedanken experiment in which an entropy-bearing spherical body of radius R and proper mass μ is slowly lowered into a black hole.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn
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linkedin post 2021-06-03 04:32:22

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THE PARADOX RECAP. “In the present paper we have highlighted a non-trivial aspect of Bekenstein’s historical gedanken experiment: We have shown that if the body can be lowered slowly all the way down to the black-hole horizon, as previously assumed in the literature, then for near-extremal black holes the resulting increase in black-hole surface-area (due to the assimilation of the body by the black hole) may become too small to compensate for the loss of the body’s entropy.” https://lnkd.in/d3sfhP6 View in LinkedIn
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