A Critical Commentary of Chaos Theory and Fractal Geometry
The Beal Conjecture: A Simple Addition Resolution.
A Proof of the Beal Conjecture Based on the Four Last-Digit Patterns of
the Products of the Terms of the Equation
The Beal Conjecture: Submission Number Two
Kelvin and Centigrade Temperature Scales and the Ancient Reckoning System
The Three Points of Water and the maya Companion Numbers: 1366560/1385540
The Fourth Point of Water: Life
Cosmic Microwave Background: The Temperature of the Universe (2.7281)
In the measurement of thermodynamic temperature of matter-energy on this planet and in the Cosmos, the choice of the three points of water is arbitrary, just as the choice of any comparative standard would be selective in nature. The temperature of matter-energy, however, is not arbitrary in the least, but defined by the conditions of existence.
cwj
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The Common Denominator of the Ancient Reckoning System: 1.142857,
Earth/matriX Extract No.55, February 6, 2000, 10pp.
We have observed how the number seven and its reciprocal (.142857142857...) play a significant role in ancient reckoning. Now, we realize that their significance may be even more than initially suspected. In this extract, we illustrate how the Sothic number 1649.457812 may be related to the Platonic Cycle/fractal (25920) as oan expression of pi 3.181818183). The interesting point is to see the reciprocal of a seven-based reciprocal expression of pi (3.142857) to also be .3181818.
Given that 360/pi equals 114.591559 (diametian expression), we further examine how the Platonic Cycle is related to the Nineveh number: 25920 divided by 22680 equals 1.142857143, another reciprocal of seven expression of the diametian. We then show how the 1.142857 expression mediates most of the ancient, historically significant day-counts and year-counts.
Numerical Differences and Patterns in Maya Long-Count Dates,
Earth/matriX, Extract 58, April 10, 2000, 6pp.
We examine how the numerical rendering of randomly selected dates from the historical record of the maya culture reflects a certain logic of numbers. In this extract, we illustrate examples whereby the differences among different dates also reveal specific numbers that suggest definite criteria in their selection. The differences between the differences are also relational to the historically significant numbers and their fractal expressions. Various historically significant numbers ending in 3312 are examined with regard to numbers occurring in nature.
Ancient Numbers in Differential Equations,
Earth/matriX Essay No.122, April 2, 2000, 10pp.
A review of the material treated in the book written by William Edmund Milne, Numerical Solution of Differential Equations (Dover, New York, 1953 & 1970).
We began our own studies of ancient reckoning by stating that possibly a logic of numbers exists that may be discerned as of the historically significant numbers. As we read through the work of Milne, we realized that the ancient logic may have been related to differential equations as well. Within the mathematical formulae shown above in this particular work, the relationship to the ancient reckoning numbers/fractals is astounding. In other words, the visual designs and patterns established by the numbers found in differential equations reflect similarities with the ancient geometric designs and patterns.
The 2, 12, 24 numbers are obvious constant numbers shared by the ancient reckoning systems. The 720, 1440 numbers pertain to the ancient maya long-count fractal numbers (7200, a44000). The 60480, 120960 numbers represent the ancient kemi series: 120960, 60480, 30240, 15120, 7560..., related to the Great Pyramid baseline measurement. The 3628800, 7257600 numbers reflect the Nineveh number: 3628800, 1814400, 907200, 453600, 226800, 11340, 567, reflecting the kemi 567c.
The use of differential equations pertains to fields of science in a very practical manner. In the words of Milne: "When a practical problem in science or technology permits mathematical formulation, the chances are rather good that it leads to one or more differential equations. This is true certainly of the vast category of problems associated with force and motion, so that whether we want to know the future path of Jupiter in the heavens or the path of an electron in an electron microscope we resort to differential equations". (Milne, pp.3) With studies as that by Milne, it becomes evident that the historically significant numbers serve a function in contemporary mathematics.
Ancient Numbers: Some Computations,
Earth/matriX, Essay 123,
April 4, 2000, 17pp.
In this essay, we present different aspects of the ancient numbers in relation to common computations within mathematics and geometry. By illustrating how the ancient numbers and their fractal expressions perform under different methods of computations, we consider that it should become more evident that a logic of numbers exists within the ancient reckoning systems.
Formulae for the differences of squares [(a2 - b2) = (a + b) (a - b)], formulae for the differences of cubes (a3 - b3) = [a b(a2 + ab + b2)] , and differences in the maya long-count numbers/fractals, are treated in this essay.
An alternative expression for differences to the cube is also presented:
(a3 - b3) = ab [3(a - b)] + (a - b) 3
Ancient Encoded Numbers: The Speed of Light,
Earth/matriX Essay No.124, April 6, 2000, 16pp.
The historically significant numbers cited in the ancient past are generally thought to be the product of a clumsy mathematical system and based upon a mixture of historical events and mythological beliefs. Seldom are these numbers approached for their possible scientific meaning.
The speed of light is examined as of some of the historically significant numbers/fractals, whereby one comes to realize that the ancient reckoning system could easily be employed for computations related to such a theme. Numerical expressions of the speed of light, such as fractal 1953312507 are compared and contrasted with ancient, maya companion numbers, such as 2733120. The apparent coincidence of numbers is examined as of other historically significant counts.