Do you think it's wrong to use the word 'dimension' as in 'a different dimension' as if that were a different place?
The Universe we live in has three spatial dimensions and one of time. If one were to add another dimension or two this would be a more complex universe and humans could see just three of them perhaps.
All of the dimensions would exist in the same universe as the present. Some physicists working with string theory speculate there may be more dimensions that are too small to see- hidden from view like provable items or progress the last twenty years in string theory (joking).
Einstein's friend Paul Erhenfrest wrote that life could not exist in a universe with more than three spatial dimensions because (presumably) particles could not exist as they do making up matter in a three dimension universe (with another dimension of time). Actually the time dimension could just be another spatial dimension or even just three membrane dimensions in motion intersecting each other with time being the present junction of the three intersecting.
Keep in mind that particles are normally two-dimensional and massless. They seem to slow down entangled in the Higgs field and pick up the third dimension. Doesn't that seem to indicate that two or one dimensions are more common even than three, much less four or more spatial dimensions?
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