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MINIMAL ENTROPY. “The Bekenstein strategy of lowering the body adiabatically into the black hole also guarantees that, for given parameters of the body, the resulting increase in the surface area (entropy) of the black hole is minimized.” https://lnkd.in/d3sfhP6 View in LinkedIn

A morning glory bears this name for a reason. Irridescent purple that keeps on giving and giving. View in LinkedIn

THE PHILOSOPHER’S DILEMMA. “Very often, when we make general statements, there is an explicit or contextual restriction. ‘All ravens are black’ is a generalization about ravens. When leaving a plane with my wife, she might ask, “Were you sure to take everything?” Clearly that refers to the possessions that I brought onto the plane (and perhaps such of hers as she took me to be responsible for). So a negative answer would not be implied by my not having taken the inflight magazine or the airsickness bag from the picket in front of my seat.” https://lnkd.in/d9K-JQv View in LinkedIn

ACKNOWLEDGEMENT. “In memory of Prof. Jacob D. Bekenstein (1947–2015), whose seminal papers have inspired my research.” https://lnkd.in/d3sfhP6 View in LinkedIn

THE SAVING GRACE. “Finally, we have explicitly shown that the increase in black-hole entropy, which is a direct consequence of the (generalized) hoop conjecture, when combined with the Bekenstein entropy bound, ensures the validity of Bekenstein’s GSL in this historical gedanken experiment.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn

THE LOOPHOLE. “We have proved that a new (and larger) horizon is already formed before the body reaches the horizon of the original near-extremal black hole.” https://lnkd.in/d3sfhP6 View in LinkedIn

PARADOX SOLUTION. “In order to resolve this apparent violation of the GSL, we have suggested to use a (generalized) version of the hoop conjecture.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn

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

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

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