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    Building blocks of a black hole

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    What is the nature of the energy spectrum of a black hole ? The algebraic approach to black hole quantization requires the horizon area eigenvalues to be equally spaced. As stressed long ago by by Mukhanov, such eigenvalues must be exponentially degenerate with respect to the area quantum number if one is to understand black hole entropy as reflecting degeneracy of the observable states. Here we construct the black hole states by means of a pair of "creation operators" subject to a particular simple algebra, a slight generalization of that for the harmonic oscillator. We then prove rigorously that the n-th area eigenvalue is exactly 2 raised to the n-fold degenerate. Thus black hole entropy qua logarithm of the number of states for fixed horizon area comes out proportional to that area.Comment: PhysRevTeX, 14 page

    Influência da umidade na resistência do solo medida com penetrômetro de impacto.

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    Este comunicado técnico apresenta as correlações entre RP e para os 6 solos de maior ocorrência no Estado de São Paulo e discute os resultados, visando o estabelecimento de umprocedimento paa a padronização e correlação da medida do penetrômetro, possibilitando comparações de resultados em condições de umidades equivalentes.bitstream/CNPDIA/8121/1/CT51_2002.pd
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