why there is no 4d.
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Four dimensions already exist, with three being of a Spatial nature and one of a Time nature. ... How do we know whether we are living in a third dimensional space or a higher dimensional space (4D or higher)?
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For 4D a spin selects not a line or axis, but another spin in the remaining plane! There is in fact no way in 4D to make any single spin map uniquely to one of the axes of the space, and this situation only gets worse in higher spaces.
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