Hello ATSer found a couple of things on dimension thought ill post it let you have a look and share your thoughts pretty much interestine since i have
discuss dimensions here before.
Dimensions
WASHINGTON (AFP) - After four years of intensive collaboration, 18 top mathematicians and computer scientists from the United States and Europe have
successfully mapped E8, one of the largest and most complicated structures in mathematics, scientists said late Sunday.
Jeffrey Adams, project leader and mathematics professor at the University of Maryland said E8 was discovered over a century ago, in 1887, and until
now, no one thought the structure could ever be understood.
"This groundbreaking achievement is significant both as an advance in basic knowledge, as well as a major advance in the use of large scale computing
to solve complicated mathematical problems," Adams said.
He added that the mapping of E8 may well have unforeseen implications in mathematics and physics which won't be evident for years to come.
E8 belongs to so-called Lie groups that were invented by a 19th century Norwegian mathematician, Sophus Lie, to study symmetry.
The theory holds that underlying any symmetrical object, such as a sphere, is a Lie group.
Balls, cylinders or cones are familiar examples of symmetric three-dimensional objects.
However, mathematicians study symmetries in higher dimensions. In fact, E8 itself is 248-dimensional.
Today string theorists search for a theory of the universe by looking at E8 X E8.
The scientists said the magnitude of the E8 calculation invited comparison with the
Human Genome Project.
While the human genome, which contains all the genetic information of a cell, is less than a gigabyte in size, the result of the E8 calculation, which
contains all the information about E8, is 60 gigabytes in size, they said.
This is enough to store 45 days of continuous music in MP3-format. If written out on paper, the answer would cover an area the size of Manhattan.
www.newscientist.com...
