The Bell Curve And The Lowest Information Point

Some more today about what a deep and far-reaching principle this concept of "The Lowest Information Point" is. The theory is described in detail in the compound posting on this blog by that name, December 2017.

Remember, once again, the basic principles of the original information theory, "The Theory Of Complexity", August 2017.

Energy and information is really the same thing, because we cannot add information to anything without applying energy to it and we cannot apply energy to anything without adding information to it. Another way that we can see that energy and information is really the same thing is that we can make our lives physically easier, through technology, but only at the expense of making them more complex. We can never, on a large scale, make life both physically easier and also less complex. Energy and information are thus interchangeable and so must really be the same thing.

Another basic principle of the original information theory is that the complexity of a number is equivalent to the value of the denominator when the number is expressed as a fraction or ratio. A high number, in itself, is no more complex than a low number because both really have a denominator of 1.

What about that statistical form that we are so familiar with because it shows up in so much of what we do, the Bell Curve? It is so-named because the statistical graph is shaped like a bell.

https://en.wikipedia.org/wiki/Normal_distribution#/media/File:Normal_Distribution_PDF.svg

The Bell Curve applies to everything from test scores to the heights of people. When a test is given to a large number of people, most people will tend to score in a median range. Some scores will be higher, and some lower, but these will tend to diminish as we move further from the median.

The same kind of statistical Bell Curve will tend to appear if we graph the height of a large number of people, one for males and one for females. Most people will be near the median range. As with the test scores, some will be taller and some shorter but these will diminish as we move further away from the median.

But the familiar Bell Curve is simply my concept of the Lowest Information Point turned upside down. The curve is because measurements involving humans and other living things tend to be more complex than the simple Lowest Information Point principle that tends to apply to inanimate matter. This is because humans are more complex than our inanimate surroundings.

A Bell Curve is based on a peak, but is more complex than a simple peak so that it is curved. Unlike the universe of inanimate matter, living things tend to operate by peaks such as optimum temperature, optimum balance of factors like work and sleep and food, and optimum percentage of oxygen for breathing.

Inanimate matter, in contrast, is simpler in that it tends to operate by a slope rather than a peak. The more matter a star has, the better, the more fuel and oxygen combustion has, the better. There is no optimum or peak factor.

Things in the inanimate universe also tend to graph as a simpler slope, rather than as a peak or Bell Curve. There are many smaller atoms and few larger atoms. There are many smaller stars and few larger stars. There tends to be no median factor, but a slope from more smaller to fewer larger.

Let's have a look at how a Bell Curve represents the Lowest Information Point with the simple arithmetical operation of multiplying together two numbers that sum to ten.

9 x 1 = 9

8 x 2 = 16

7 x 3 = 21

6 x 4 = 24

5 x 5 = 25

Notice how the results, if graphed, would form half of a Bell Curve. The closer the two numbers are to each other, the higher the result.

The complexity of a number is the value of the denominator when the number is expressed as a ratio or fraction. But when two numbers are multiplied, the more difference there is between the numbers the higher the information point. Thus the Lowest Information Point is when the two numbers are equal.

Now, suppose that the two numbers in each equation were the sides of a right-angled figure. 5 x 5, which gives the highest value of 25 because it's factor numbers contain only one piece of information because they are the same number, thus making it the Lowest Information Point, remembering that such a Bell Curve is really the Lowest Information Point turned upside-down.

Remember in the theory of the Lowest Information Point, in the section of the Introduction "SQUARES, RELATED RATIOS AND THE LOWEST INFORMATION POINT", we saw how the matter of the universe is seeking to be a square, rather than a rectangle, with regard to the number of different things made of matter in comparison to the number of each thing because a square, with it's sides being equal, is a Lower Information Point than a rectangle, with it's sides being unequal so that it requires two pieces of information.

By the same principle of the Lowest Information Point, a sphere is the default gravitational form of matter for such as planets and stars because, unlike all other three-dimensional geometric forms, a sphere needs only one piece of information to describe it's radius or diameter. We saw this in the section of the Introduction, "SPHERES AND THE LOWEST INFORMATION POINT".

This gives the sphere the lowest surface area per volume of all 3D geometric forms, and we know that since distance is information, it is potential information even if it is empty so that empty distance can be considered as a 0 while matter is a 1, this means that surface area is information also. Notice that, if we were to add information by applying energy to a pure sphere, the only way to do it would be to somehow increase it's surface area.

In the compound posting, "The Lowest Information Point", there are several sections that describe how the universe, through nuclear fusion in stars, is moving from a rectangle to a square, with regard to the information in the number of different things and the number of each different thing. These are sections 4, 12 and, 14.