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The only way the universe could be open with hyperboloid geometry and not cease curving beyond the hyperbola centre would require Space-time curvature to vary in sharpness (which is impossible if I am correct). Here is a diagram I made myself:
The only way the universe could be open with hyperboloid geometry and not cease curving beyond the hyperbola centre would require Space-time curvature to vary in sharpness (which is impossible if I am correct). Here is a diagram I made myself:


[[Image:Open_Hyperboloid_Universe.JPG]]
[[Image:a.JPG]]

Revision as of 16:16, 5 July 2007

Open Hyperboloid Universe

The only way the universe could be open with hyperboloid geometry and not cease curving beyond the hyperbola centre would require Space-time curvature to vary in sharpness (which is impossible if I am correct). Here is a diagram I made myself: