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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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Proof that Our Planet is 1D
It is impossible. Suppose the real line, $\mathbb{R}$, is your 1D space and that $\alpha:\mathbb{R}\to \mathrm{Earth}$ is an homeomorphism (physics is more than only topology, but at least the topolol …
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In what sense is SUSY a spacetime symmetry?
So indeed, SUSY is related with spacetime in the sense that the generators of this symmetry are intertwined with those of the Poincaré group (=spacetime symmetries) in the relations
$$
[P_\alpha,P_\beta … These add to spacetime "fermionic" extra dimensions, if you want. …
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Compactness of spacetime: experiment and math
But
how safe is assuming compactness of spacetime in physics? … This one is perhaps model-dependent:
is there an existing experimental validation of the compactness of spacetime? …