Saturday, April 9, 2011

The Lie Group and the Universe - I

Groups capture the essence of symmetry. Theory of groups is being used in a wide range of fields - determining possible structure of crystals , conservation laws of physics, string theory and even in sending secure information over internet!

So what is the relationship between the lie group, the universe in which we live and the ancient Indian theories?
E8
Well according to one of the 'theory of everything' by Garrett Lisi, our universe can be described by a special Lie Group with root lattice of rank 8 . A 2-D projection of E8 may describes our new universe as per the new theory. And if you look at the figure , it is pretty much similar to the pictures that is presented in ancient scriptures. I specially like description of a lotus-base shaped universe, as described in the Vedic texts. And this is how an E8 looks (2-D projection)
E8- 2D projection
Similar to Lotus-Base shape description

See More on E8 @ http://www.aimath.org/E8/


[Images used above have been taken from the internet and are used only for the sake of explanation. No copyright violation is intended. In case of any issues please leave a comment]


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