Year: 2022

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

CRITERIA MET. “It is worth mentioning that Bekenstein and others provided compelling evidence that the entropy bound is respected in various physical systems in which gravity is negligible.” https://lnkd.in/d3sfhP6 View in LinkedIn

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

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

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

EXTREME TEST. “Our goal is to challenge the GSL in the most extreme situation. We shall therefore consider the case of an entropy-bearing body which is slowly lowered towards the black hole. As shown by Bekenstein, this strategy guarantees that the energy delivered to the black hole when it swallows the body is as small as possible.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/d3sfhP6 View in LinkedIn

THE WEDGE FOR LOGIC. “Reasons are themselves supported by reasons. The fact that reasons are themselves supported by reasons links reason with argument, since iteration of such support gives rise to chains of reasoning.” (Charles Parsons, professor Emeritus of philosophy at Harvard). https://lnkd.in/dHcKSxb View in LinkedIn

Snapdragon in the rain. 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

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