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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

VIOLATION OF THERMODYNAMICS. “We have seen 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 black holes in the near-extremal regime the resulting increase in the black-hole surface area (entropy) may become too small to compensate for the loss of the body’s entropy.” https://lnkd.in/d3sfhP6 View in LinkedIn

The force that through the green fuse drives the flower. Poem by Dylan Thomas. View in LinkedIn

FRUSTRATED GOAL. “In philosophy Gödel has never arrived at what he looked for: to arrive at a new view of the world, its basic constituents and the rules of their composition. Gödel did not think that he himself had come close to attaining the ideal of an axiomatic theory of metaphysics. He said several times that he did not even know what the primitive concepts are.” (Wang, 1996) https://lnkd.in/dC2iwn9 View in LinkedIn

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