![Jacob Bekenstein found... in 1971 that every black hole must have an entropy proportional to the area of its horizon... Stephen Hawking then refined this by showing that the constant of proportionality must be... exactly one quarter. ...entropy is supposed to correspond to a measure of information ...Loop quantum gravity... [gives] a detailed description of the microscopic structure of a black hole. ...a horizon can have, for each quantized unit of area, a finite number of states. Counting them, we get exactly Bekenstein's result... (Lee Smolin)](https://cdn.quotesdtb.com/img/quotes_images_webp/01/lee-smolin-area-black-853901.webp)
Jacob Bekenstein found... in 1971 that every black hole must have an entropy proportional to the area of its horizon... Stephen Hawking then refined this by showing that the constant of proportionality must be... exactly one quarter. ...entropy is supposed to correspond to a measure of information ...Loop quantum gravity... [gives] a detailed description of the microscopic structure of a black hole. ...a horizon can have, for each quantized unit of area, a finite number of states. Counting them, we get exactly Bekenstein's result...
Lee SmolinRelated topics
area black constant counting description entropy found gives gravity hawking hole horizon information jacob loop measure number proportional proportionality quantum quarter refined result showing structure unit statesRelated quotes
If for the entire universe we conceive the same magnitude to be determined, consistently and with due regard to all circumstances, which for a single body I have called entropy, and if at the same time we introduce the other and simpler conception of energy, we may express in the following manner the fundamental laws of the universe which correspond to the two fundamental theorems of the mechanical theory of heat.
1. The energy of the universe is constant.
2. The entropy of the universe tends to a maximum.
Rudolf Clausius
Today we have arrived at a point when the thre principles [of modern resistance: 1. measure of efficacy, 2. the form of political and military organization correspond to the currest forms of economic and social production, 3. democracy and freedom] coincide. The distributed network structure provides the model for an absolutely democratic organization that corresponds to the dominant forms of economic and social production and is also the most poweful weapon against the rulin power structure.
Antonio Negri
I wish that people would be persuaded that psychological experiments, especially those on the complex functions, are not improved (by large studies); the statistical method gives only mediocre results; some recent examples demonstrate that. The American authors, who love to do things big, often publish experiments that have been conducted on hundreds and thousands of people; they instinctively obey the prejudice that the persuasiveness of a work is proportional to the number of observations. This is only an illusion.
Alfred Binet
If...[Alban] Berg departs so radically from tradition, through his substitution of a symmetrical partitioning of the octave for the asymmetrical partitionings of the major/minor system, he departs just as radically from the twelve-tone tradition that is represented in the music of Schoenberg and Webern, for whom the twelve-tone series was always an integral structure that could be transposed only as a unit, and for whom twelve-tone music always implied a constant and equivalent circulation of the totality of pitch classes.
George Perle
Ten years ago the incoming Conservative Government found the national finances in good order. .... What do we find to-day? Expenditure and indebtedness have been piled up, the income-tax stands at a shilling, war taxes are continued in peace time, the national credit is impaired, and a heavy depreciation has taken place in securities of every description. You only have to look around to see the result. Industry is burdened, enterprise is restricted, workmen are thrown out of employment, and the poorer classes are straitened still further in their circumstances.
Henry Campbell-Bannerman
