Presented Argument:

1) A 1 dimensional line compresses, ie it shrinks in volume, as it approaches a 0d point. With the line equivalent in quantity and quality to "1", this results in the line turning into a fractal dimension.

****1 qualitatively equates to dimension as directional space, hence "dimensionality" is synonymous to space as movement. Space exists through direction, as movement, with this direction existing relative to other directional space, as dimensions. Space and direction are inseperable.

2) The line as a fractal dimension continues to fractate, as it is compressed through 0d space. Example: 1 → 1/2 → 1/3 → 1/4 to infinity. These fractal dimensions are synonymous to a line being individuated into further lines, through a 0d point. Hence a 1/2 dimension it strictly a line divided 1 through a zero dimensional point into two lines, 1/3 is three lines and 2 seperations (0d points), etc.

3) The line as 1 direction is infinite, considering "1" is a constant. "1" can never "not" be "1". However this 1 line cannot move anywhere in 0d space, hence for it to exist it must relate to itself, as the standard of the movement of the line is the line itself. Hence the 1d line must individuate into another "line" in order to move, considering movement is relativistic and dependent on the relation of parts. This process of individuation occurs through "compression" where the line continually approaches a 0d space.

4) The line, approaching zero, continually fractures through a process of division. At point zero, the line as one continuous fracttion inverts to produce simultaneously dimensions through the fractals. For example 1/2 inverts to 2/1, 1/3 inverts too 3/1, etc. This inversion of division is conducive to multiplication. This multiplication, through inversion of fractions, occurs through the manifestation of angles. For example the 1/2 fractal line moves towards itself to form and angle, the 1/3 follows the same process to form two angles (as a frequency), etc.

5) This inversion, or altnernation, results in a polarity where a separate line is produce relative to the original line, through which the line can relate. This alternation results in the angle as the origin of relativistic movement. The lines exist as actual movement, and the interior volume of the angle is observes as potential space through which the actual line moves.

6) The actual line, exists as a positive dimension inseperable from "1" both quantitatively and qualitatively, and in these respects the line exists as the foundation for relativistic space as actual movement. The space, which the angle observes as the relation of actual lines, exists as potential space or a negative dimension. Hence the angle as "2" observes a -1 space, the angle as 3 observes a -2 space etc. In these respects number as relativistic unit-particulate structure observes both space and number as synonymous.

Each of these new lines, resulting from the folding process, in turn forms further lines which follow the same form and function as each new line, as a fractal of the original through the angle, is still the "same" line in itself, hence follows the same process of folding through 0d space.

7) The sequence can be observed as follows:

*** The symbol: "⩺" will equate to a alternating function where 1/n "folds" into n/1.

1 ⩺ {2,-1}

1 ⩺ ({3,-2},{2,-1})

1 ⩺ ({4,-3},{3,-2},{2,-1})

1 ⩺ ({5,-4},{4,-3},{3,-2},{2,-1}).

Through this continual compression (fractation as division) and expansion (multiplication), 1→2 and 1→ n>2 maintain themselves as everpresent, and "1" continually folds itself to maintain itself as ever present through a series of fractals, with the fractal themselves (relative to other fractals) existing as whole numbers.

In these respects the fractal is the origin of relativistic numbers.

Hence what we understand of the line in 0d space are three degrees of alternation as:

a) Polarity as 1/n → n/1

b) Actual movement as the lines, Potential Movement as the space within the Angle through which the line "move" relative to eachother. Actual movement, through the lines, can equate to all positive numbers. Potential movement, through which the space moves, can be equated to corresponding negative numbers (The angle as 2 lines, maintains -1 space through which they move as "1" direction. The frequency of 2 angles (4 lines), maintains -3, through which the frequency projects as "1" direction.)

c) Frequency as the constant maintenance of 1→2 and 1→ n>2 repeating themselves across time.

This folding process observes (until I can throw a few graphs in):

1) 1 is a literal unit-particulate which manifests relativistic space, and is inseparable from the "line".

2) There are an "infinite" number of 1's, 2's, etc, not just "1". In these respects 1 can be a continual fractal of itself, which this fractal nature alternating into another number. Alternation is inseperable from number, and number as "unit" may manifest through...."spin cycles".

3) The "angle", not curvature, forms the foundation of temporal space and what we understand of "curvature" (hyperbolic/eliptic geometry) may in fact may just be an empirical approximation of hyper-dense angulature as folding frequencies.

4) 1 dimensional lines may in fact be quantum (I hate using that word because it is overused, but it the one available for the time) frequencies. With frequencies in turn existing as quantum lines. Hence a duality between the line and frequency observes a further dualistic relation of number inseperable from division and multiplication as "fractals". This inherent dualism, as "2" observes and inherent qualitity of the dualism as movement through angulature.

5) The angles continually increase into fractal degrees yet maintain a constant proportionality to their original source, so the problem occurs in the respect as to what "constitutes" a degree considering angle "A" may be proportional to angle "B", however angle "B" may be 72 degrees and angle "A" could fit into one of the 72 degrees in Angle B. The paradox occurs in the respect that "A" and "B" are proportional.

So the question occurs is "A" composed of fractal degrees, Doe the number of Degrees in Angle B multiply because the compression of angle "A" cause the expansion of angle "B", or both?

Geometric shapes may not be the founded in their angulature as the "degree", but in actuality it may be reversed: shape is the foundation for the degree, with this shape, as angle, conducive (in all probability) to the triangle as the foundation for relativistic space.

6) "Angulature" is the foundation for movement as time. In theory, hyper accurate geometric object, such as the pyramids, may cause a dilation in space time. In a seperate respect The possible "cone" version of the universe, may in fact be a rotating angle, or an infinite number of angles stemming from a 0d point.

7) Geometric shapes exists as relativistic particulate, and what we understand of a geometric shape is less about its angulature, but the number of points (as individuators) through which the lines relate. These geometric shapes exist through their relation to other geometric shapes, hence each geometric "form" is a particle.

8 ) However angulature is movement through the alternation of spatial compression and expansion. Alternation causes space to compress and expand, and is premised in a 4 dimensional construct of:

A) The line as actual movement, as acceleration through compression.

B) The polar line(s) as a result of the inversion.

C) The angulature as potential space, which is negative in dimensionality (not - zero).

D) The frequency as a continual propagation of the 1d line across time space. For example if observing a frequency across "x" length, and we cut each alternation vertically in half, what we observe is a 1d line propagating itself across "x" length as a 2d view of a temporal locality.

9) Frequencies may in fact be fractals of 1, which alternate back to "1" itself from a seperate set of angles. In these respects "1" rotates itself through fractions as the foundation for whole numbers as units in themselves.

10) The line begins with an altnernation into an angle of 2 wavelengths, then 3 ad-finitum, because each angle is a fractal of the original line (2 wavelengths are each 1/2 of the original, 3 are each a 1/3, 4 are each a 1/4, etc.) the angulature continually progress back to point zero of origin. relativistic Infinity (linear motion) cycles back to point zero, through a linear progression.

****Graph will be needed to illustrate this point clearly.

What we understand of relativistic movement, is a cycling to and from infinity through fractals

11)The frequencies, no matter how high always maintain the same length even if approaching a number approaching infinity. The frequencies produce further frequencies which simultaneously move away from the original point of compression.

12)The frequencies overlap further frequencies manifesting a continual set of irrational trapezoids and triangles. In another respect what we understand of as perceived curvature may simply be space measured through a trapezoid, with multiple trapezoid forming an approximate square as a matrix of movement.

****Graph will be needed to illustrate this point clearly.

Agree/Disagree? Why?