Hala;'kin*rising...

　

lets start by thanking hyperbolic geometry, this was the comparasent needed to compare a flat space such as Euclidean tranforming into a curve space such as its hyperbolic doppleganger. I will use the term quantum entagled as a metaphor to explain the relationship between a circle of Euclid and a circle defined by the ratio "Hala-kin" 1/5, derived from the helek measurement of hebrew astronomy measurements The helek (Hebrew חלק, meaning "portion", plural halakim חלקים) is a unit of time used in the calculation of the Hebrew calendar. The hour is divided into 1080 halakim. A helek is 3^{1/_{3 seconds or 1/18 minute. The helek derives from a small Babylonian time period called a she, meaning '"barleycorn", itself equal to 1/72 of a Babylonian time degree (1° of celestial rotation).}}

360 degrees x 72 shes per degree / 24 hours = 1080 shes per hour.

The ^{_{Hebrew calendar defines its mean month to be exactly equal to 29 days 12 hours and 793 halakim, which is one helek more than 29 days 12 hours and 44 minutes. It defines its mean year as exactly 235/19 times this amount.}}

"source wiki"

This I theorised must have been some sort of universal growth ratio showing the rate of transformations from a 2 dimensional flat plane such as Euclidean tranforming into its 3 dimensional doppleganger on a curve hyperbolic plane. So I measured for the rate "all units and measursements are in degrees" I plotted axioms as follows... a line= a triangle= 180 degrees= a square = 2 triangles = 360 degrees =a circle... there is more but these axioms is sufficient for the task.

so while studgying a set of tranformations in hyperbolic space I noticed the constant 1.25 "Hala-kin" this is what I did, I measured the rate it takes 450 degrees to decline to 360 degrees "180/144" was the rate so this follows... 360/4 = 90 degrees /1.25= 72/1.25= 57.6 so this follows that 57.6 would represent half of the line then 1/5 of the circle and finally 1/4 of a circle morphing into a curve.

I mentioned the term quantum entangled earlier because it was a good metaphor to use to explain a comparison relationship needed to perform a task "Quadrature of a circle" in the hyperbolic universe of "3.125" or simply "3.13" derived from the "helek"..."universe 3.13 the herperbolic plane", explained above.

Now In my observations I concluded that there still exist one perfect circle but they are quantum entagled doppelgangers of the 2nd and 3rd dimensions so anything that is done on one circle will also be done on the other circle. The twin perfect circles have different radius the Euclidean circle has smaller radian and area compared to its doppelganger that has larger radian and area.

So the truth is pi can be both rational and irrational depending on how many dimensions of space is considered in its calculation, but it will remain irrational as long as the circle c/d is being investigated from a homogeneous perspective such as Euclidean. That makes perfect sense since you need to reach an infinite amount of points until pi can be defined, I see it as reaching the borders of the second dimension mathematically.

Now the quadrature of a circle gives a task to construct a square with the same area as its circle counterpart. Now to do this purely from a Euclidean space without use of the doppelganger is tricky depends on your technique. No worries the doppelganger is easy to construct using a protractor.

The rational ratio of pi derived from the Hala-kin ratio comes with a set of rational properties as well this circle measurements allowed me to do a technically impossible task of "squaring the circle" once I did this on the doppelganger I followed my postulate metaphorically it stated...

" In my observations I concluded that there still exist one perfect circle but they are quantum entagled doppelgangers of the 2nd and 3rd dimensions so anything that is done on one circle will also be done on the other circle. "

This allowed me to predict that I can locate equivalent points if I measured the rate of change of radius quantities between the doppelgangers. So I isolated all the nessasary points and created the equivalent path on the Euclidean counterpart. the measurements with a straight edge and compass become extremely complex but in theory should be able to be performed with use of the doppelganger, following the logic of the postulate. So now this is a confirmed assumption.

So far I have isolated the Euclidean equivalent of the Hala-kin ratio. This can be used to calculate area of a circle witch is basically squaring the cirle, when ever you calculate the area of a circle you are transforming it into its square equivalent, these are the transformations of the formula. so because this ratio was detected that is more evidence that these circles or doppelgangers."