## Wednesday, October 26, 2011

### Patterns, Harmonics, Disorder, Chaos

Our universe is based on fundamental patterns. The use of fundamental patterns in our universe is necessary because they help us to organize our surroundings into something that is understood. An example of patterns is language, mathematics and speech. We may have variations on the fundamental pattern such as language, accents and spelling. Mathematics is broken down into adding, subtracting, multiplying and dividing as well as algebra, geometry, calculus and trigonometry. Speech is broken down into sounds that convey a message. Wild animals use speech in the form of sound to communicate. These variations on the fundamental patterns could be called harmonics, similar to harmonics in music as a common example. We also have the opposite to patterns which could be called disorder or in the extreme, chaos. Disorder can be as innocuous as designing a different type of car, building, or inventing a new word. Chaos is basically extreme disorder. An example of this is death or other forms of extensive destruction. Common examples of disorder leading to eventual chaos is aging in ourselves, our possessions or the environment ( read climate change here ). The problem with chaos is that you don't always know it is present unless you can see it or are in the midst of it. Our universe is based on mathematics. Theoretically if you mapped all the incoming data, you could see when chaos is about to start or has started. That is a great theory but it breaks down in its' applicability when the incoming data is overwhelming. A simple example is counting from one ( 1 ) to infinity. If you graph all the numbers you will see it climbs up in one direction like climbing a hill. A simple method is to add all the digits in a number until you get a one column number ( for instance 476, ( 4 + 7 + 6 = 17, ( 1 + 7 =8 ) ). You will find that all the numbers from one to infinity total from ( 1 to 9 ) and then repeat themselves in a pattern. The resulting pattern looks like a saw tooth. You could call this a fractal pattern since it repeats itself indefinitely. Prime numbers are an example of a seemingly patternless chaos in our world, but they have an underlying complicated fractal pattern . Prime Numbers are defined as numbers that can be only divided by themselves and one ( 1 ). Prime Numbers follow a complicated fractal pattern. First of all, if you look at a list of prime numbers you will find that they always have the numbers 1, 3, 7, 9 in column zero or otherwise known as the far right column ( 11, 13, 17, 19 ). The second thing you will notice is that all numbers ending in ( 1, 3, 7, 9 ) aren't prime numbers ( 21, 33, 27, 39 ). This is our first pattern. The second thing you will notice is that if the sum of the digits of any number ending in 1, 3, 7, 9 total a multiple of 3 , except for prime number 3, ( for instance 6, 9, 12, etc. ) it isn't a prime number. If a number ending in 1, 3, 7, 9 in column zero ( far right column ) isn't a prime number it can usually be evenly divided by a number with 1, 3, 7, 9 in column zero ( far right column ). These are more patterns. Lastly, except for the one digit prime number 3 in the one digit prime number series ( 1, 2, 3, 5, 7 ), you will find if you continuously add the digits of a prime number you will find the column zero or far right column one digit totals for prime numbers are ( 1, 2, 4, 5, 7, 8 ). These numbers ( 1, 2, 4, 5, 7, 8 ) are the strange attractors of the prime numbers.

In summary:

1. Prime numbers, if they are prime numbers, have the pattern numbers 1, 3, 7, 9 in column 0 ( farthest right column ).

2. If the sum of the digits of any number ending in 1, 3, 7, 9, total a multiple of 3, except for prime number 3, ( for instance total 6, 9, 12, etc. ) it isn’t a prime number.

3. If a number ending in 1, 3, 7, 9 in column zero (0), isn’t a prime number it can usually be evenly divided by a number with 1, 3, 7, 9 in column (0).

4. If you add the digits and there is more than one total ( for instance 97 has a first digit total of 16 ( 9 + 7 = 16 )) then 16 is a harmonic of ( 7 ), since ( 1 + 6 = 7 ).

5. The column zero or far right column one digit totals for primes are ( 1, 2, 4, 5, 7, 8 ).

6. The one digit totals ( 1, 2, 4, 5, 7, 8 ) are all strange attractors of the complex prime number fractals.

The adding of these digits is a neat way of quantizing energy levels or Riemann numbers, which really is only a series of numbers in which we simplify the pattern in order to study it. Any chaotic system can be quantized in this manner similar to any harmonic oscillator or anything else for that matter.