From: scerir (scerir@libero.it)
Date: Wed Aug 21 2002 - 15:28:32 MDT
For the very first time in QM (leaving apart 1/137, the fine structure constant)
during Hardy's theorem experimental test a very special number, the golden
mean, (5^1/2 -1)/2 = 0,6180 ..., made its appearence.
If a line of length 1 is divided into two pieces so that the ratio of the length
of the whole to the length of the long piece is equal to the ratio of the length
of the long piece to the length of the short piece, then the long piece will
have length = golden mean. The Parthenon in Athens, for example, has
a height of golden mean times its width.
http://www.oberlin.edu/physics/dstyer/StrangeQM/Hardy.pdf
BTW Hardy's theorem is a very powerful and peculiar test of the "a-causal"
properties of QM
s.
PS: x mr. Spike
The problem of testing whether a number is
prime has been shown to be in Poly.
Paper and software is here
http://www.cse.iitk.ac.in/primality.pdf
But this is not my field
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