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The Gregorian Universal System and Units of Measurement System (GUSUMS)

The Gregorian Universal System and Units of Measurement System (GUSUMS) is a series of mathematical hypotheses, proofs, illustration, and new discoveries that shows that the fundamental principles, formulae concepts, theories, and other aspects of mathematics, measurements, astronomy, astrophysics, and to a larger extent science are based on the attributes and properties of the circle and sacred geometry. As proof of this, the following illustrations and new mathematical discoveries are provided by GUSUMS.

1.      The GUSUMS Formula for Calculatingthe Circumference of a Circle: GUSUMS discovered a new mathematical formula for calculating the circumference of a circle. The circumference of a circle can be calculated as:

CIRCUMFERENCE = DIAMETER/7 + DIAMETER X 3

2.      GUSUMS Value of Pi: The above formula shows that pi is constant and exactly 22/7 or 3.1428571428571428571……..

3.      GUSUMS Units of Time: GUSUMS showed that units of time are based on multiples of 6. For example

a.       Hours in a GUSUMS Week and Day: GUSUMS showed that the sub-units of hours in a week are equal to 6^8 or 1679616 subunits of hours in a week. To get the number of hours in a week we divide the value by 10000 to get 167.9616 hours in a week. Dividing that by 7 is equal to 23.9945142857 hours in a day. This formula shows that our current units of time in a year based on a 24-hour day is off by about 2 hours each year.

b.      Minutes: The subunits of minutes in a GUSUMS week is equal to 6^9 or 10077696  sub-units of minutes. Dividing that by 1000 we get the minutes in a week which is equal to 10077.696 minutes. This means a day has 1439.670857142857142857…minutes.

c.       Seconds in a GUSUMS Week: GUSUMS showed that the exact units of time in a week is equal to 6^10 or 60,466,176  units of time. We divide that by 100 to get the number of seconds in a week which is 604,661.76 seconds in a week. Dividing the resultant value by 7 results in 86380.25142857142857…..seconds in a week. This shows that our current measurements are off by about 19.74857142857142857 each day.

4.      GUSUMS Proposal for Unifying the Current Systems of Measurements: GUSUMS showed that units and values of length resulted from the division of a circle. Based on this GUSUMS showed that we can unify the current systems of measurements using this concept. This will mean converting the metric and imperial system and vice versa based on 1 inch being equal to 2.5 cm and not 2.54 cm. This will unify the two as 10 cm will be equal to 4 inches. Since 4 inches is equal to 1 cloth,  then 1 cloth will be equal to 10 cm or 1 decimeter implying 1 cloth in the imperial system will be equal to 1 decimeter in the metric system.

5.      GUSUMS Additional Discoveries: The above and other discoveries from GUSUMS are illustrated below and discussed on their own pages. Below are some brief illustrations.

Origins of the Dimensions and Linear Measurements

GUSUMS was able to provide mathematical proofs that shows concepts of dimensions and are based on and can be derived from the circle. The illustration below shows the origins of the zero dimension (point), the first dimension (line), the second dimension (plane surfaces), and the third dimension (polyhedron)  from sacred geometry and the circle.

Image illustrating dimensions and linear measurements
GUSUMS illustration of the zero, first, second, and third dimensions as derived from the fruit of life

The Origins  of Circular Measurements and Concepts

Using the circle, GUSUMS was also able to derive concepts used or associated with circular measurements. This included concepts such as circular sectors, circular arc, circular segment, the chord of a circle, the radius of a circle, different circular shapes, the radius, the diameter, the pi, etc.

Image illustrating circular concepts
GUSUMS illustration of how Circular measurements and concepts were derived from the circle.


The Origins of the Concept of Direction

GUSUMS shows that the Concept of direction also originated from the circle. GUSUMS show that direction was based on the location of the intersecting circles from the center point of the original circle. The result of this was the origins of the cardinal points of the compass and the axis.

Axis

Image illustrating the X, Y, and Z axis
GUSUMS illustration of the concept of the X-axis, Y-axis, and Z-axis as derived from the circle
 (correct-the entire blue vectors are X-axis and the left one should also be X-axis

Cardinal Compass

Image illustrating the 4 cardinal points of a compass
The 4 cardinal points of the compass as derived from the circle.


Origins of Numbers, Numbering, and Units of Measurement & Their Divisions

According to GUSUMS, the dot or the zero dimension was the smallest unit of measurements. From that other units of Measurements were based on on the subsequent divisions of the circle. Thus, the first division had 6 units, the second 12, the third 18, and so on and so forth. Thus, additional units were based on the number of points in the subsequent Circles as shown below.

Image illustrating numbering in sacred geometry
Illustration of the origins of numbers and numbering


Origins of Units of Length

From the origins of numbers and numbering, units of length were assigned based on the circle. For example, assuming the smallest unit in the imperial system is the inch, the each point was equal to an inch. This meant that the second circle with 6 divisions or points was equal to 6 inches, and the circle that follows was equal to 12 inches or 1 feet, a circle with 24 divisions was equal to 2 feet, and a circle with 36 divisions was equal to 36 inches, or 3 feet, or 1 yard. Note that the metric system can also be acquired from above as a circle with 54 divisions has a multiply of 0.001852 which  is the same conversion rate of converting a dekameter to a nautical mile which is discussed under the origins of length and the unification of the current systems.

Image illustrating the origins of the imperial system
Deriving units and values of length from the circle



Origins of Angles

GUSUMS also showed that angles also originated from the division of the circles. For example, the first circle has 6 divisions which meant each angle was 360 degrees. The second circle has double the number of divisions thus each angle will be 30 degrees. Thus, angles originated from the division of the total number of degrees in a particular circle by the number of divisions. From this, more complex angles could be formed by combining various circles and their numbers of divisions as illustrated below.

Image illustrating the origins of angles
Origins of Angles


Origins of Trigonometry

GUSUMS  shows that trigonometry originated by combining at least 3 lines in of the points in which the circles intersect. This was the origins of triangular shapes such as the obtuse triangle, the scalene triangle, the right angle, the isosceles triangle and the acute triangle.

image illustrating the origins of trigonometry
The origins of trigonometry


Origins of Geometry

The same concept that was the origins of trigonometry was applied in other geometrical shape. Thus, geometry also originated by combining the points of the circles or the points in which 2 or more circles intersected.

Image illustrating geometrical shapes
Origins of geometry and geometrical shapes from the circle


Origins of the default values of pi, radius, and diameter

GUSUMS also showed that the basic concepts of circular measurement such as the radius, diameter, and pi could be directly derived from the circle. The finding showed that the default  value of the radius is 0.5 units and the default value of the diameter is thus 1. A circle with a radius of 0.5 and a diameter of 1 unit automatically has a circumference that is equal to pi units. Hence, pi is the default setting.

image illustrating the default values of radius,diameter, and pi
The Default values of the radius, diameter, and pi





Origins of Time Measurement

From the illustration of the divisions of the circle, time was also based on the above. The only difference is that time measurement incorporated the concept of rotation and revolution of the circle. 

Image illustrating the origins of time measurement
Origins of concepts of time and time measurements


Origins of Astronomy and Planetary Science

GUSUMS also shows that basic concepts in astronomy  and astrophysics also originated from the circle. They include concepts such as; rotation, revolution, axis, orbit, perihelion, aphelion, the phases of the moon, and the relationship between the Earth, Sun, and the Moon.

image illustrating concepts in astronomy
An illustration of astronomy and planetary science concepts derived by GUSUMS from sacred geometry

Link to the Book: The Gregorian Universal System and Units of Measurement System (GUSUMS): The Art of Mathematics




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