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QUESTION. “One might ask whether the GSL holds for the case of some tenuous matter accreting onto a stationary black hole from all directions.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/dAr7QTt View in LinkedIn

DEFINITION. “A generic black hole is a region of spacetime enclosed in an event horizon (one-way membrane), which is a null hypersurface generated by a congruence of null geodesics characterized locally by a (real) convergence p and shear o.” https://lnkd.in/dAr7QTt View in LinkedIn

APPLICABILITY. “Thus by generalizing the concept "entropy" to include black-hole entropy, one can hope to make the second law valid and useful in the presence of black holes.” https://lnkd.in/dAr7QTt View in LinkedIn

APPLICABLE DERIVATIVE LAW. “Not so the GSL, since black-hole entropy can be determined without delving into black-hole interiors.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/dAr7QTt View in LinkedIn

TRANSCENDED LAW. “The OSL is inapplicable just to the exterior of the holes since they are sinks of entropy. And if applied to both interiors and exterior, the OSL is not useful since there is no may for exterior observers to measure the interior ordinary entropy and so to apply the law. We say that the OSL is transcended.” (OSL = ordinary second law of thermodynamics). https://lnkd.in/dAr7QTt View in LinkedIn

VALIDITY ASSUMED. “It seems, therefore, that such a proof could be obtained only in the context of quantum-statistical mechanics in curved space-time. Since this discipline does not yet exist, we shall simply have to assume, on the strength of the arguments of paper I, and in the absence of evidence to the contrary, that the GSL is valid generally.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/dAr7QTt View in LinkedIn

THERMODYNAMICS IS QUANTUM. “We have repeatedly seen that quantum effects play a prominent role in the operation of the law: The GSL is at its roots a quantum law. We have also seen that the GSL is a statistical law.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/dAr7QTt View in LinkedIn

Completely abstract organic forms in Gothic carving in the Cathedral of Barcelona. View in LinkedIn

THE CLEAR LIGHT OF THE VOID. “Similar to the hypnogogic state just preceding sleep, this juncture of the individual and the general mind allows the individual's last desires to be projected over the general network, and thus to be manifested at a distance.” (Professor John Curtis Gowan, a precocious thinker). https://lnkd.in/d4sDpAu View in LinkedIn

BIGGER QUESTION. “One is also interested in whether the GSL holds for the process of black-hole formation.” (GSL = the generalized second law of thermodynamics). https://lnkd.in/dAr7QTt View in LinkedIn