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Can Higher Dimensional Spaces Like 10D Exist Without Traversing Intermediate Dimensions?

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Dimensions are defined with an extradimensional axis so an extra real number line. So, if there is R^3, R^4, R^5 then can there be directly R^10 skipping R^6, R^7 etc. Or put another way:
Does the existence of R^10 necessarily imply that R^4 through R^9 must exist or be interacted with in a cosmology? Or can a narrative directly reference R^10(10D space) without needing to build up through lower dimensions?
 
Does the existence of R^10 necessarily imply that R^4 through R^9 must exist or be interacted with in a cosmology? Or can a narrative directly reference R^10(10D space) without needing to build up through lower dimensions?
Well, it seems weird to "skip" over "R^4 to R^9" if you're saying that R^10 exist since... Well, the latter existing kinda proves the former does too? If, truly, there is nothing in between "R^3" and "R^10" then it would mean "R^10" is actually just R^4.
 
I don't believe so. The 3rd Dimension is only the 3rd because it includes the 2nd and 1st; otherwise, it would just be the 1st Dimension. Now, if you're asking if every dimension needs to be stated, then no.
 
Well, it seems weird to "skip" over "R^4 to R^9" if you're saying that R^10 exist since... Well, the latter existing kinda proves the former does too? If, truly, there is nothing in between "R^3" and "R^10" then it would mean "R^10" is actually just R^4.
I don't believe so. The 3rd Dimension is only the 3rd because it includes the 2nd and 1st; otherwise, it would just be the 1st Dimension. Now, if you're asking if every dimension needs to be stated, then no.
I meant in case if it is explicitly stated that like there is a space beyond 3D which have 7 more extradimensional axis so that would make it 10D. So, is it possible for that to exist without the lower ones like 4D, 5D, etc., being present or acknowledged? In short, can something go straight from 3D to 10D if it's directly described that way?
 
I meant in case if it is explicitly stated that like there is a space beyond 3D which have 7 more extradimensional axis so that would make it 10D. So, is it possible for that to exist without the lower ones like 4D, 5D, etc., being present or acknowledged? In short, can something go straight from 3D to 10D if it's directly described that way?
I mean, they ARE acknowledged if they are saying there is 7 MORE axes compared to 3D.
 
So, does that automatically mean it contains or includes 4D, 5D, 6D, etc. as actual parts of its structure?
I mean, "automatically" idk, but if it's truly written/explained as "7 additional axes compared to a 3D space", yeah, obviously, that include all of them.
 
The verse itself doesn't need to specify lower dimensional worlds but if the 10th dimensional plane has 10-axises then it should be fine. instances where a character A creates some sort of a hyper cube which blatently states and gives enough evidance relative to the verse in question that it is mathematical 10-D or its equivalence will scale as such.

iirc LOM had such a statement scaling where a character escaped to a higher dimensions (dimensional axis was stated in the feat) which resulted in the overall materail universe to diretly get 11+1 D.

if the statements are credible for the verse setting and not actual mumbo jumbo like 10 dimensions which are basically pocket reality stacked on top of each other and act like a tower of dimensions or something like that.
 
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