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From: guskz on 28 Mar 2010 10:53 Hubble observations suggest space expands uniformly in all directions and there's no 3d or 4d model (Euclidean) that can simulate this shape. Thus any 3 points in space forming a right-angle triangle disobey the hypotenuse law and instead all 3 sides are of equal length. With the exception that for local small distances the hypotenuse law remains, at least at the macro-scale, if not likewise at the quantum scale. The above would not be related to bent space, since closer to Earth measures(space more curved due to matter/gravity) are similar to measures done between Earth and the moon,etc... Nor are they related to a time factor, since a slow moving and a faster moving object traveling along a hypotenuse trajectory both adhere to the hypotenuse law. Therefore they all obey Euclidean mathematics and thus spacial geometry when dealing with local coordinates. The exception would be gravitational (or accelerated) time dilation factors for arriving, leaving, or trans-versing a gravity well. And if planets are receding from each other at the same time and with the same velocity that space itself expands, if that would also simulate an acceleration and thus a gravitational time dilation during light's trajectory to Earth.... |