Sunday, May 30, 2010

Kem's Results on Symmetry - Greg Egan

"In Chapter 20 of Incandescence, Kem stumbles upon an invaluable insight into the consequences of symmetry in curved geometry:
“I've been thinking about symmetries,” Kem said. “If you look at the relationship between the direction of a natural path and a motion of symmetry, it should be the same all along the path.”

What the Splinterites have discovered here is an incredibly beautiful and powerful result, which is known to us as Killing's theorem."

5 out of 5

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