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A #Question for #Krononauts

A #shoebox is floating in #SpaceTime. We can #identify its 2 sides as X, its ends as Y, and top & bottom as Z. Now, rotating the box, the Xs might become Zs, or some other 2- or 3-way inversion.

4-D might have X, Y, Z & T (for Time). Could these 4 #axes or #dimensions also be "rotated"? Could someone live in "#spatial" dimensions of X, Y & T, with Z being their Time? If so, could our X-dimension be someone else's Time #dimension?