We show that it is natural to introduce the concept of black-hole entropy as the measure of information about a black-hole interior which is inaccessible to an exterior observer. Considerations of simplicity and consistency, and dimensional arguments indicate that the black-hole entropy is equal to the ratio of the black-hole area to the square of the Planck length times a dimensionless constant of order unity. A different approach making use of the specific properties of Kerr black holes and of concepts from information theory leads to the same conclusion, and suggests a definite value for the constant.
Jacob BekensteinRelated topics
approach area black concept conclusion consistency constant definite different entropy equal exterior inaccessible information interior length making measure natural observer order ratio show simplicity specific square theory times unity use value planckRelated quotes
Art is not to be looked at. Art is looking at us. What is art to others is not necessarily art to me. Nor for the same reason and vice versa. What was art to me or was not some time ago might have lost that value or gained it in the meantime and maybe again though art is not an object but experience. To be able to perceive it we need to be receptive. Therefore art is there where art meets us now. The content of art is visual formulation of our relation to life. The measure of art, the ratio of effort to effect, the aim of art revelation and evocation of vision.
Josef Albers
When the theory performs well you also think, "Are there parallel results in naturally occurring field data?” You look for coherence across different data sets because theories are not specific to particular data sources. Such extensions are important because theories often make specific assumptions about information and institutions which can be controlled in the laboratory, but which may not accurately represent field data generating situations. Testing theories on the domain of their assumptions is sterile unless it is part of a research program concerned with extending the domain of applications of theory to field environments.
Vernon L. Smith
Land, n. A part of the earth's surface, considered as property. The theory that land is property subject to private ownership and control is the foundation of modern society, and is eminently worthy of the superstructure. Carried to its logical conclusion, it means that some have the right to prevent others from living; for the right to own implies the right exclusively to occupy; and in fact laws of trespass are enacted wherever property in land is recognized. It follows that if the whole area of terra firma is owned by A, B and C, there will be no place for D, E, F and G to be born, or, born as trespassers, to exist.
Ambrose Bierce
Of all the mind tools we acquire in the course of furnishing our brains from the stockpiles of culture, none are more important, of course, than words - first spoken, then written. Words make us more intelligent by making cognition easier, in the same way (many times multiplied) that beacons and landmarks make navigation in the world easier for simple creatures. Navigation in the abstract multidimensional world of ideas is simply impossible without a huge stock of movable, memorable landmarks that can be shared, criticized, recorded, and looked at from different perspectives.
Daniel Dennett
Justice White's conclusion is perhaps correct, if one assumes that the task of a court of law is to plumb the intent of the particular Congress that enacted a particular provision. That methodology is not mine nor, I think, the one that courts have traditionally followed. It is our task, as I see it, not to enter the minds of the Members of Congress - who need have nothing in mind in order for their votes to be both lawful and effective - but rather to give fair and reasonable meaning to the text of the United States Code, adopted by various Congresses at various times.
Antonin Scalia
