Theory of Everything - View Single Post - Geometry of schroedinger equation and riemannian geometry as a fiber bundle

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Hi,

Has anyone read any of penrose's new book? From the parts I've read, it makes me curious if the geometry of the universe can be derived from the fact that at each point we make a measurement, the entire riemannian universe is visible from that point. This seems to me like it's a fiber bundle, since fiber bundles measure like a circle of intervals, for example, which would be a cylinder without top and bottom. If you can visualize this, it's like a bunch of intervals arranged in a circle. Has anyone explored this connection further? It seems that there might be a way to derive some type of quantum cosmology relationship from this. Keep in mind I haven't read the whole books, but Penrose's "The road to reality" and Weeks' "The Shape of Space" are good.

Good luck in your quest for the ultimate theory.

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DoYouKnow Orange Belt Status: Offline Posts: 26 Thanks Given: 0 Thanked 0x in 0 Posts Join Date: Apr 2005 Rep Power: 13	Geometry of schroedinger equation and riemannian geometry as a fiber bundle - 03-17-2006, 11:11 AM Hi, Has anyone read any of penrose's new book? From the parts I've read, it makes me curious if the geometry of the universe can be derived from the fact that at each point we make a measurement, the entire riemannian universe is visible from that point. This seems to me like it's a fiber bundle, since fiber bundles measure like a circle of intervals, for example, which would be a cylinder without top and bottom. If you can visualize this, it's like a bunch of intervals arranged in a circle. Has anyone explored this connection further? It seems that there might be a way to derive some type of quantum cosmology relationship from this. Keep in mind I haven't read the whole books, but Penrose's "The road to reality" and Weeks' "The Shape of Space" are good. Good luck in your quest for the ultimate theory. DoYouKnow