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I wrote an old paper showing how difficult it would be to dimensionalize the other values in several other dimensions. It's almost childish to read it now, but I thought it was deep thoughts at the time:
** Dimensional Progression **
A dimension is intricately related to it's ability to have a point of location within it well defined. Without being able to quantify this locational point, a dimensional definition remains invalid, because you cannot successfully translate that point to a separate sentient entity. Thus, any additional dimension would have to add to the numerical complexity of that location, or, precede the dimensions as we currently understand them.
We say that the first dimension a straight line. An infinite number of points of location can be perceived along this line, so this is the first definable locational point and can be used to locate anywhere within this one dimensional world.
We say that the second dimension is a plane. An infinite number of points of location can be perceived along the two axis of this plane, so this provides two definable location points and can be used to locate anywhere within this two dimensional world.
We say that the third dimension is a cube. An infinite number of points of location can be perceived along the three axis of this plane, so this provides 3 definable location points and can be used to locate anywhere within this three dimensional world.
Thus, we come to our present understanding of dimensions. Now pick a locational point in this '3' dimensional world and translate it to your closest sentient being. You can't. What you perceive and what they perceive will always be different and will always be thought to be at a different location. Why? Two reasons: One, because the current perception of dimensions is selfish in that it always assumes the dimension revolves around the viewer and what they are looking at. Two, because we got ahead of ourselves and forgot a crucial dimension... the first one (perhaps): Origin. A single point without length, width or height. Each dimension must add to the complexity of it's locational point definition used to describe a locational point within the present dimension. The Origin adds to the complexity of the locational point in a line and all subsequent dimensions. The plane adds to the complexity of the line and all subsequent dimensions. The cube adds to the complexity added by the plane and all subsequent dimensions. By our understanding of this, each of the known dimensions has to have an origin from where location is derived, thus, origin is a dimension that precedes our current perception of dimensions and adds to all subsequent dimensions.
Are we done? Is this all we understand about dimensions? Let's find out. I send my location to a sentient being in Mauritius and they translate to the location I gave them, but what they perceive and what I perceive are still different. We still do not see the current dimension the same, so our dimensional definition is still invalid. Why? Mauritius is on the opposite side of Earth, so their orientation is wrong.
Turns out, not only does each dimension have an origin... turns out it has an orientation, too. An origin has no axis, so there can be no orientation to it, thus, an orientation is a dimension added after the origin. A straight line has an orientation around its axis. A plane has an orientation around either of its two axis. A cube has an orientation around any of its three axis. Each dimension must add to the complexity of its locational point definition with in the current dimension. It seems that orientation becomes our second dimension. An origin is our first dimension. An orientation adds to the complexity of an origin and affects all additional dimensions.
Ok, let's try this one more time... I send my location to a sentient being in Muritius and they translate to the location I gave them and, finally, they see the exact same thing I do.
Now, most individuals have argued that time is a subsequent dimension and I argue this may be incorrect. Each dimension must add to the complexity of it's locational point definition used to describe a locational point within the present dimension as you traverse them. I have laid out that each dimension adds to the next and must provide a valid location point that two sentient beings can be independently translated to and see the exact same thing. Supposing time is the next dimension, I send my location to someone in 1923 and to someone in 2123, but neither person arrives at my location. Why? Origins are already set by the time the begin the translation, and those origins are based on their own time because the time they are translated to is not set until all other dimensions have been traversed, so, they arrive at a location based on the origin in their times, not my own. I argue that time has to be the root dimension, thus a translation can be made from anywhere in any time and the translation will traverse the dimensions correctly and arrive in the correct location.
So, from a dimensional standpoint, dimensions traverse in the following progression:
1) Time
2) Origin
3) Orientation
4) X
5) Y
6) Z
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