linkedin post 2021-05-31 04:04:06

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INSUFFICIENT SURFACE AREA. “We shall further develop a possible resolution of this apparent paradox. In particular, we shall show that a generalized version of the hoop conjecture may ensure the validity of Bekenstein’s GSL in this type of gedanken experiments.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn
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linkedin post 2021-05-31 04:02:00

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GEDANKEN EXPERIMENT. “We shall show below that if the body can be lowered adiabatically all the way down to the black-hole horizon, as previously assumed in the literature, then for near-extremal black holes the unavoidable increase in black-hole surface-area may become too small to compensate for the loss of the body’s entropy.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn
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linkedin post 2021-05-31 04:00:27

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STRESS TESTING. “The main goal of the present paper is to highlight a non-trivial aspect of Bekenstein’s famous gedanken experiment. In particular, we shall challenge the GSL in a gedanken experiment in which an entropy-bearing spherical body is slowly lowered into a charged Reissner-Nordstrom black hole.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn
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linkedin post 2021-05-31 03:58:37

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THE CONJECTURE. “In particular, as emphasized by Bekenstein, an entropy bound of the form ensures that the generalized second law of thermodynamics is respected in a physical process in which a spherical body with negligible self-gravity is captured by a black hole.” https://lnkd.in/d3sfhP6 View in LinkedIn
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linkedin post 2021-05-30 05:39:05

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INTUITIVE KNOWLEDGE IS NECESSARY. “The basic fact being stressed is that there are frequent situations in mathematics in which a formal conviction, derived from a formally certain proof, is NOT associated with the subtle feeling of “It must be so”, “I feel it must be so”. (Fischbein, 1982) https://lnkd.in/dfVcgbr View in LinkedIn
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linkedin post 2021-05-30 05:37:34

linkedin post 2021-05-30 05:37:34

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SO ENDS this first of two weekends on an historic paper on DNA chirality. There are some items that we take for granted, but on closer scrutiny, it was based on assumptions required because the methodology did not have sufficient precision. And so was the case with the assumed handedness of DNA. Other-handed DNA proved not only to exist but have relevance in disease. https://link.springer.com/content/pdf/10.1007/978-94-009-7052-6.pdf View in LinkedIn
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