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Is entropy 2-D?

  1. Sep 1, 2010 #1
    I read recently that the entropy of a black hole is proportional to the surface area of its event horizon. Being that surface area is a two dimensional measurement, only requiring length and breadth, what does that say about the structure of matter contained in the event horizon? I'm not sure if i'm missing something fundamental, but it seems to me that if a larger surface area corresponds to a more massive black hole, but its entropy raises as its surface area raises, wouldn't that mean more and more mass/energy is being lost to random quantum fluctuations? I know it sounds stupid, but I want to ask if there is a violation of the second law of thermodynamics when something that is 3-dimensional is converted to something 2-dimensional. All the 2 dimensional slices that make up one 3-dimensional object would be more substantial in the second dimension than one in the third. A low entropy 3-d object sucked in an event horizon would be measured 2-dimensionally as high entropy. Right?
  2. jcsd
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