Dimensional Tiering

## Standards for all dimensional tiering

**The dimensional theory that this tiering system primarily conforms to is that which of the Euclidean Vector Spac**

Any higher dimension is uncountably infinitely superior to lower dimensions now if you went over the continuum hypothesis, you'd get an explanation as to how the first uncountably infinite cardinal is equivalent to a set of real numbers, you can virtualize dimensions as being something akin to ℝ (real number line) in which 1 dimension in the line has infinitely many subsets.

Demonstration of this goes as follows.

ℝ^1 which within 1 would contain infinitely many smaller subsets of 1 (0.111111111,0.11111112......, R^2), the next dimension would be an equivalent to making multiplications of the previous subset demonstrated here as ℝ^2 / ℝ×ℝ, which would also have yet even more uncountably infinitely many subsets.

Now it's important to note higher dimensions don't inherently grant you greater ap within fiction we only treat them as such if it's demonstrated that they have qualitative superiority to each other as further extrapolated below, This is important to learn because in this wiki we don't strictly operate under dimensional tiering as such tendencies cause a lot of inconsistencies as a result of a lot of fictional works having higher dimensions but don't necessarily conform to what one would call "reality fiction" or the actual mathematic theorems that describe the gap in magnitude between dimensions.

Unless it's proven within the specific context that higher dimensional beings are following these certain aspects that constitute for them gaining a tier within the tiering that relates to their dimensional existence.

A higher dimensional construct within set verse has to be shown to be embedded into the whole of the previous dimensions as per real coordinate space.

R= real number

N=tuples

Real coordinate space uses set of tuple's to constitute for dimensional layers.

The set of all points with n coordinates is denoted R^n and is referred to as n-dimensional Euclidean space or simply n-dimensional space.

In R^3 3the three coordinates of a point are usually called x, y, and z. When working with four or more dimensions, though, it is too cumbersome to use a different letter for each coordinate. Instead, we refer to the n coordinates in Rn as x1, x2, and so forth.

In real coordinate space dimensions are represented by real numbers /ℝ

R×R×R=3 Dimensions/ℝ^3= 3 Dimensions

The following example above is what a higher dimension should look like you can view it in a simplified way as dimensions being multiplications of previous subsets, with adding the 4th dimension embedding it into the whole of the 3rd dimensions which would appear like this.

ℝ^4 because of it being a multiplication of the previous subset adding the next dimension in a perpendicular position essentially making the whole of the 3rd dimension to be a previous subset of the embedded 4th dimension because of this the 4th effectively viewing the 3rd as for what goons would call "fiction" this is generalized for all higher dimensions akin to continuous Cartesian products of (ℝ ∞^∞^∞^∞^∞/ 5 dimensional/ℝ^5).

Statements such as higher dimensional characters viewing lower dimensional characters within a fictional setting suffices as well as a justifications for why higher dimensions should grant greater ap (Low complex multiversal and up).