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Just to throw the gist in, basic spatial coordinates system functions under 3 fundamental spatial axis, (x,y,z) for instance. In which any extent of coordinate operations will all be assign under them, whether it's real coordinate space, geometric transformation, linear function or even our own movement. When it comes to fiction, such thing is not strictly concern, due to the fact that fictional work is independent. Therefore means that with or without concrete mathematical formalism, everything can be formed.What does R mean
In mathematics, we resemble a dimension 1 with notation R (real line) to express all possible unique coordinate points that's conceivable by tuple, which has the quantity of set of all real numbers or being aleph-1 sized (as if a point in space-time can be define by decimals, being "natural line" with just aleph-0 quantity wouldn't make sense). Each point on the line is corresponded to dimension 0, or well known as a location. The line reserves reality, thus everything describable by shape and size would operates under its influence. To put it simply, 1-dimensional space is equated to R, and higher dimension is just a multiplication of lower dimension subsets— R^3 = (RxRxR) implies 3-dimensional space or a multiplication of uncountably infinite 0-D to 1-D, 2-D to 3-D for a glance. Now, aleph-2 sized space would mathematically exceeds standard geometric space constructs, since multiplying the lines wouldn't ever reach the quantity of aleph-2; likewise, composing it together as mathematical model of space-time wouldn't make it nearly aleph-2 either. In short term, a line formed with uncountably infinite points (0-D).
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