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Re: Area enclosed by a tesseract (4th Dimensional Hypercube)
Quote:
Originally Posted by BornaE
W*X*Y*Z
W is the extra dimension in the Minkowski space.
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I would agree this holds for Euclidean 4-space, but is this measure of hyper-volume valid for Minkowski space, since only three of the dimensions are Euclidean?
Quote:
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Originally Posted by H. S. M. Coxeter, Regular Polytopes, via Wikipedia
Little, if anything, is gained by representing the fourth Euclidean dimension as time. In fact, this idea, so attractively developed by H. G. Wells in The Time Machine, has led such authors as J. W. Dunne (An Experiment with Time) into a serious misconception of the theory of Relativity. Minkowski's geometry of space-time is not Euclidean, and consequently has no connection with the present investigation.
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