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THE RESOLUTION. “In the next section we shall discuss a possible resolution of this paradox which is based on (a generalized version of) the hoop conjecture.” https://lnkd.in/d3sfhP6 View in LinkedIn

THE PARADOX. “The increase in black-hole entropy (due to the assimilation of the box by the black hole) may become too small to compensate for the loss of the entropy of the box.” Perhaps akin to Japanese Noh theatre. https://lnkd.in/d3sfhP6 View in LinkedIn

HOW SMALL CAN 10 BE MADE? “Perhaps somewhat surprisingly, the relation tells us that the black-hole entropy increase (due to the assimilation of the body by the black hole) can be made arbitrarily small.” https://lnkd.in/d3sfhP6 View in LinkedIn

CASE PROVEN. “One therefore concludes that an entropy bound of the form ensures the validity of the GSL.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn

ABSTRACT ART. “So, we are faced with the important question: How small can l0 be made?” This is like watching an abstract painting unfold before you. https://lnkd.in/d3sfhP6 View in LinkedIn

ABSOLUTE MINUMUM. “Thus, in order to challenge the GSL in the most extreme situation, one should release the box to fall freely into the black hole from a point located as close as possible to the black-hole horizon. So, we are faced with the important question: How small can l0 be made?” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn

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

THE EXTREME TEST. “One learns that, in the dangerous regime, the new horizon is already formed before the body reaches the horizon of the original near-extremal black hole.” https://lnkd.in/d3sfhP6 View in LinkedIn

THE DEPENDENCY. “Interestingly, there are several studies which support the validity of the hoop conjecture. It should be emphasized, however, that there are also known counterexamples to this version of the hoop conjecture which involve charged matter configurations.” https://lnkd.in/d3sfhP6 View in LinkedIn

THE SOLUTION. “In order to resolve this apparent violation of the GSL, we shall henceforth concentrate on the dangerous regime and examine the physical consequences of Thorne’s hoop conjecture in the context of our gedanken experiment.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn