Re: Gravity Solves Paradox raised by Einstein's Theory
Posted by Pasti on Sep 26, 2003 at 13:15
(64.228.115.138)Re: Gravity Solves Paradox raised by Einstein's Theory (Uncle Al)
"Modern physics assumes postulates and does not empirically challenge them ? This is exactly the wrong thing to do. There are EIGHT fundamental geometries of 3-space. Not Euclid alone, not Euclid plus hyperbolic and elliptic geometries, not the six Seifert manifolds."
Just to make things clear, why exactly does it matter that there are 8 spatial geometries for the 3d space?
I can give you several classes of spacetime geometries (solutions of the Einstein's equations), i.e. 4d geometries, and you can build an equal number of space geometries by embedding the 3d space in the 4d manifold.
But let me tell you something. It's good that you got Thurston, but I wouldn't read it without Wald's book,"General Relativity" (actually, the other way around would be much better). They complete each other beautifully. And one more thing. Thurston is excellent for 3d spacetimes, or for GR in (2+1) dimensions. But there are many things that change when going from 2+1 to 3+1 GR.So don't hold too dear to this particular book.There are several better ones, Nash and Sen (has a lot of typos), Nakahara (excellent), Isham (very dry but excellent).
Follow Ups:
- Re: Gravity Solves Paradox raised by Einstein's Theory Uncle Al 26/9 14:06 (0)