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Holographic principle as an answer to few mysteries

  1. Oct 21, 2011 #1
    Some time ago I had finished the book "The Black Hole War" by Leonard Susskind. I was impressed about the idea of explaining 2 phenomenons as a consequence of the holographic principle.

    We all here know what the holographic principle is. The maximum amount of information in some region of space is proportional to the regions surface, not volume. This may sound strange but this is a consequence of attempting to merge QM with GR. Every process in a region interior might be described by just considering processes on its boundary. That means, the information inside a black hole is encoded in its horizon and may be fetched out, but that's not the point.

    The point is:

    1. The holographic principle is a constraint on the amount of information inside a region. That means, there is less degrees of freedom available than it appears to be. This may be an answer to renormalization problems.
    In a usual interaction theory, energy is divergent. Quanta of the gauge field have energy proportional to the inverse of their wavelength. That means, the more energy they have, the more number of them increases. The total energy sums up to infinity. So, physicists introduce the "cutoff energy" and say that there are no quanta above some energy level. This means that there is some smallest possible wavelength, what is equivalent to spacetime quantization. This makes energy finite, but introduces problems itself.
    But there is another approach. Instead of limiting energy we cound limit the information that the quanta carry. That means, the number of quanta must be below some level, but their energy is unbounded. This is another way to make energy finite, without resorting to spacetime quantization.

    2. Suppose we have a region of a shape of a cube with an edge of length 1. The information in it is proportional to the cube surface, that is 6. So, let's fill the cube with the information to its limit.
    Now consider a second cube of the same size. Its information capacity is also 6. 2 cubes together have information capacity of 12.
    Now let's glue these cubes into one cuboid. Its surface will be only 10. So, the total information capacity of a cuboid is less than the sum of the information capacities of the 2 cubes constituting it.
    You know what that means? It means that the information in the 2 cubes must have been correlated. And the correlation of distant events is a symptom of the quantum entanglement of them.
    So, entanglement might be just a consequence of the holographic principle. The space can carry less information than it is commonly thought, so some bits must be correlated.

    What do you guys think of it. Anyone has read this book also?
  2. jcsd
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