Dx and Dp are the uncertainties in position and momentum, represented as probabiliuty distributions; h is Planck's constant and C is another constant related to the Planck scale.
There is a minimum size that can be probed in string theory. An absolute limit to the precision that any object can be located in space. Ergo, according to M-theory, space cannot be continuous; an infinite amount of information cannot be packed into a finite volume of space.
According to conventional theories, the surface area of the horizon surrounding a black hole, measures its entropy, where entropy is defined as a measure of the number of internal states that the black hole can be in without looking different to an outside observer, who must measure only mass, rotation, and charge. Another theory states that the maximum entropy of any closed region of space can never exceed one quarter of the area of the circumscribing surface, with the entropy being the measure of the total information contained by the system.
S' = S_m + A/4
So the "black hole" theorists came to realize that the information associated with all phenomena in the three dimensional world, can be stored on a two dimensional boundary, analogous to the storing of a holographic image.
The set of all dogs is itself "not" a dog. It is not a member of itself. Sets that are not members of themselves leads to a contradiction in the construction of a universal set. The "set of all sets" cannot exist under these limiting conditions.
DNA is also defined as an algorithm. A finite
set? of instructions, a step by step problem solving procedure.
The information contained in DNA can construct a carbon based life form.
So the "DNA" contains the life form analogously to the way a blueprint contains a house.
The life form contains the DNA in the topological sense, while the DNA contains the life form in the "abstract" sense.
The Universal Algorithm contains the Universe in the abstract sense, while the Universe contains the algorithm in the topological sense.
(<-(->(U)<-)->)
The universal set.
The abstract contains the concrete and the concrete contains the abstract.
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[This message has been edited by Chimp, 04-11-2004]