Sunday, October 28, 2007

A picture of the E8 root system

A picture of the E8 root system

The E8 root system consists of 240 vectors in an eight-dimensional space. See what is E8? Those vectors are the vertices (corners) of an eight-dimensional object called the Gosset polytope 421. In the 1960s, Peter McMullen drew (by hand) a 2-dimensional representation of the Gosset polytope 421. The image shown below was computer-generated by John Stembridge, based on McMullen's drawing.

. . .. ... ..... ........ oOo ........ ..... ... .. . .

Is mathematical pattern the theory of everything? - fundamentals - 17 November 2007 - New Scientist

mirrored on techbus

GARRETT LISI is an unlikely individual to be staking a claim for a theory of everything. He has no university affiliation and spends most of the year surfing in Hawaii. In winter, he heads to the mountains near Lake Tahoe, California, to teach snowboarding. Until recently, physics was not much more than a hobby.

That hasn't stopped some leading physicists sitting up and taking notice after Lisi made his theory public on the physics pre-print archive this week ( By analysing the most elegant and intricate pattern known to mathematics, Lisi has uncovered a relationship underlying all the universe's particles and forces, including gravity - or so he hopes. Lee Smolin at the Perimeter Institute for Theoretical Physics (PI) in Waterloo, Ontario, Canada, describes Lisi's work as 'fabulous'. 'It is one of the most compelling unification models I've seen in many, many years,' he says.

That's some achievement, ... [just open up a little patch of design space and see who surfs in]

see also n-category café article

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