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Pythagoras's Theorem and Special Relativity: Difference between revisions

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Pythagoras's Theorem and Special Relativity
 
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The Minkowski 4D Space-Time Continuum
 
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The Minkowski Metric Tensor in special relativity has pretensions of occupying a so-called four dimensional space-time continuum where Pythagoras’s theorem continues to operate as normal. It will now be argued that if Pythagoras’s Theorem can hold outside of three dimensions, then the only possibility might be in the special case of seven dimensions, but that even this would be highly doubtful.
The Minkowski Metric Tensor in special relativity represents a four dimensional space-time continuum, but it was derived from two succesive applications of the 3D Pythagoras's Theorem. It is not therefore an example of Pythagoras's Theorem in 4D. Pythagoras's Theorem only exists in 3D space.

Latest revision as of 20:53, 27 February 2020

The Minkowski Metric Tensor in special relativity represents a four dimensional space-time continuum, but it was derived from two succesive applications of the 3D Pythagoras's Theorem. It is not therefore an example of Pythagoras's Theorem in 4D. Pythagoras's Theorem only exists in 3D space.