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/sci/ - Science & Math

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4078953 No.4078953 [Reply] [Original]

Can the higher dimensions be visualized as a curvilinear coordinate system?

Or are these just transformations in <span class="math">\mathbf{\mathbb{R}}^{3}[/spoiler]?

>> No.4078973
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4078973

anyone?

>> No.4078981
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4078981

I'm gonna go with... false.

>> No.4078996

I mean suppose you had a non-linear transformation of the xz plane based on another variable like say (t) or (w)...

>> No.4079006

Not sure what you are asking

you can always imbed curvature in a dimension into euclidean space in a higher dimension

>> No.4079011

>>4079006

me neither

>> No.4079013

>>4079006
allow me to translate OP's post for you:

self-important technobabble self-important technobabble self-important technobabble

>> No.4079026

>>4079013

What he said was correct.

>>4078953

I suppose you can some exotic spaces that are non commutative so aren't locally Euclidean.

>> No.4079285

he's asking whether you can express 4+ dimensional space using some special variant of a regular 3D coordinate system.

and no OP, I don't believe so - though colors do work.