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Within relativity (both special and general), changes of reference frames can change both the notions of space and of time, with one depending on the other as well. As a consequence, it is necessary to treat both concepts in a unified manner. Hence the term spacetime.

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Why is there a negative sign in the formula for proper time [duplicate]

I recently read in the footnotes of 'The Elegant Universe' by Brian Greene about the formula for proper time, defined as $d\tau^2=dt^2-c^{-2}(dx_1^2+dx_2^2+dx_3^2)$. I am new to the subject of Special …
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