Dimension

[Coreinvsbw]

I have a question about dimensions: dimensions are multiplications of R ( for example 5D is R^5 of spatial coordinates 0D ) so theoretically a character who can destroy a 2D infinite structure could destroy a 5D one because there is a bijection between R^2 and R^5 but I know that from a spatial point of view the higher dimension remains inaccessible to him, could I have an in-depth explanation of why?

 

[SweetDao]

Firstly, no "dimension" is truly inaccessible from a lower dimensional perspective, the simple fact any dimension base itself from the lower ones is pretty telling. For it to truly be inaccessible it would need some sort of different configuration of energy and/or energy working on an entire different framework from the lower dimension and even then, saying it's "inaccessible" would likely be an excess of language.

Secondly, from a mathematical standpoint, it is indeed the case, a 2D space or a 5D space share the exact same cardinality. One of the reason it wouldn't work, however, will surely have to do with the application of it with the physics itself, not even mentioning the illogicality of putting any character performing such a feat at higher level than what the author intended.

 

[Wikisource]

Basically, larger dimensions are uncountably infinite in smaller dimensions. The gap between finite values to infinity and then uncountably infinite is usually inaccessible, meaning it cannot be approached by increasing the number of smaller components. So in short, the gap between dimensions is inaccessible. However, many verses still show characters being able to attack characters being able to attack characters/dimensions that are superior to themselves. Generally this will depend on the feats of those characters.

 

[SweetDao]

Basically, larger dimensions are uncountably infinite in smaller dimensions. The gap between finite values to infinity and then uncountably infinite is usually inaccessible, meaning it cannot be approached by increasing the number of smaller components. So in short, the gap between dimensions is inaccessible. However, many verses still show characters being able to attack characters being able to attack characters/dimensions that are superior to themselves. Generally this will depend on the feats of those characters.

This is not what he was asking. His whole issue which I jokingly brought up elsewhere is the fact that destroying anything uncountably infinite (aleph 1) would make a character able to destroy any arbitrary dimension too, since the required energy while not decrease nor increase.

 

[Wikisource]

This is not what he was asking. His whole issue which I jokingly brought up elsewhere is the fact that destroying anything uncountably infinite (aleph 1) would make a character able to destroy any arbitrary dimension too, since the required energy while not decrease nor increase.

Isn't he asking why higher dimensions are inaccessible?

 

[SweetDao]

Isn't he asking why higher dimensions are inaccessible?

dimensions are multiplications of R ( for example 5D is R^5 of spatial coordinates 0D ) so theoretically a character who can destroy a 2D infinite structure could destroy a 5D one because there is a bijection between R^2 and R^5 but I know that from a spatial point of view the higher dimension remains inaccessible to him, could I have an in-depth explanation of why?

His whole issue is more so about the fact "why" that doesn't work with the information I bolded. Your explanation is fine and help get the point across, but it doesn't really explain the "why" and "how", especially since, again, the amount required to destroy any dimension would be strictly the same from a set theory point of view.

 

[Wikisource]

His whole issue is more so about the fact "why" that doesn't work with the information I bolded. Your explanation is fine and help get the point across, but it doesn't really explain the "why" and "how", especially since, again, the amount required to destroy any dimension would be strictly the same from a set theory point of view.

I see.