eli5: Is time the same thing as the fourth spatial dimension?

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Are tesseracts and hyperspheres ‘time’? Or is it completely different?

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Anonymous 0 Comments

Time is not a spatial dimension, the way it’s usually written out is “3+1” dimensions as a shorthand for “3 spatial + 1 temporal dimensions.” So no, a tesseract, aka a hypercube, is the extension of a cube into four *spatial* dimensions.

> You can lift up something out of a 2D drawing in the third dimension. Can something in our world be moved to the past/future?

I assume you mean that you can turn a drawing of a square into a drawing of a cube, something like that? What’s happening there isn’t really a change from a 2D drawing to a 3D drawing, it’s changing your drawing into a 2D representation of a 3D object. That has no implications for time.

> A dot on a circle can move in one dimension, and if it does so far enough, it comes back to the starting point because the space is curved.

It may be that our universe is like that, in 3 spatial dimensions, but those are *spatial* dimensions. Without proceeding faster than light, you will never arrive before you left, and FTL is forbidden,

> On earth you can move in two dimensions curved, move far enough and you come back to the starting point. In 3D space, does time allow you to go back to the starting point?

No, but if our 3D world is embedded in a 4 or more spatial dimensions then from “outside” of the 3D structure looking in, you would potentially be able to treat time as another axis you could travel on.

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