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Science Forum Index » Physics Forum » Straightforward question about the presence of PI in EFE.
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| VTR250 |
Posted: Tue Apr 29, 2008 2:46 am |
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Guest
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Hi,
Pi represents the ratio of any circle's circumference to its diameter
in EUCLIDEAN geometry; in non-Euclidean geometry, the ratio of any
circle's circumference to its diameter is not a constant.
Pi appears routinely in equations describing fundamental principles of
the Universe. The frequent occurrence of pi in these equations is
supposed to be due in no small part to its relationship to the nature
of the circle and, consequently, spherical coordinate systems. In
particular I am thinking about Einstein's field equations.
My question is, since the geometry of the universe is non-Euclidean,
why doesn't the presence of pi in the formula cause errors in the
calculation of the curvature of spacetime -- especially at
cosmological distances, because spacetime is highly curved on
cosmological scales?
Thanks,
Michael |
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