“Proof” One - Existence of nth Dimensional Space

“Proof” One - Existence of nth Dimensional Space

PLEASE NOTE: This isn't a formal mathematical proof. I'm taking information from several sited books which are listed on my Site page. I would love for someone to critique it!

A few quick notes:

1. I will write Real as Rnth and Complex as Cnth, where n represents the current number of dimensions I am studying. So if I say, “x1 ∃ R¹”, it means that x1 exists in the Real, One dimensional, world.

2. I’d love your guys opinion on this! For me, its all experimental!

3 Instead of using x,y,z,t, et cetera, I will be using x0,x1,x2,x3…xn, which exist in R0, R1, R2, R3, … Rn

4. We will assume from point a to point b (please see the definition of continuity under my reference page)

Start With Nothing

In the universe, we will analyze dimensions by first proving that, mathematically at least, it is possible to integrate to the nth Dimension. Instead of using x,y,z,t, et cetera, we will use:

With that in mind, let’s start with the 0th Dimension: this dimension is spaceless, dimensionless, and will be represented by a point.