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Planck's universe, cube or sphere?

Asked by Bill1939 (10757points) May 20th, 2012

In trying to understand the universe at a quantum level, I found it difficult to visualize Einstein’s cosmic foam as cubes of one Planck length, imagining instead spheres. However, the area of a cube is greater than that of a sphere of equal volume.

A “Planck Sphere” with the volume one cubic Planck would have a diameter of 1.2407 Planck lengths. If its diameter was one Planck length, its volume would be 0.52360 cubic Plancks (which, I believe is impossible by definition). Any thoughts on this?

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