http://dualitynature.blogspot.com/ Duality Nature Project

Sunday, January 31, 2010

Pi: The Whole is Greater than the sum of it's Parts

Pi is an obsession for some... did you ever wonder why?
 In the very popular movie, "Contact," based on the popular book by Carl Sagan, contact is made with alien's from another world. One thing leads to another and the aliens send a message about Pi. The main character and scientist from the movie, Ellie, does as the message say's and ends up decoding Pi. 

Pi has been the obsession of many people, scientists, mathematicians, and nerds in general since Geometry was first discovered.



If you are wondering why by this point it's because Pi is a very strange number. If you didn't already know or forgot, Pi is defined as the circumference of the circle and is rounded off to 3.14159 or just 3.14 for most things. It's really strange in quite a few ways but as far as the decimal is concerned Pi is infinite.

Pi, the circumference of a circle, repeats forever into it's decimal (3.14159 * infinity) as an irrational number. It is, so far as we can tell as a civilization, without logic and therefore unable to be understood or truly computed or measured. Isn't that strange?

So far, Pi has been calculated to more than a trillion decimal places with the use of computers but just about forty decimal is accurate enough to describe distances on subatomic levels, like in the nucleus of an atom, using mathematics.


Pi will work for any circle. The same number is always there out of millions, perhaps billions, of circles people and computers have measured.

Pi is also wholly irrational. This is largely the reason why people have become so obsessed with it. Pi has no pattern to it. It's decimal repeat's to infinite so far as anyone or any computer can tell and/as there is no pattern to it. If there was a pattern, or if we discovered a pattern, pi would no longer be irrational and we, as a civilization, could probably solve all physics and math problems to date. That is, the universe would basically be revealed to us. This could also be considered a technological singularity, due to the results it would produce. Unfortunately, as mentioned, no one has figured out Pi in the course of human history and civilization. 

Newton, Einstein, and computers are just three great intellects that have been unable to so far solve pi.

Most people who dedicate all or part of their lives to science do so because their core belief's center around the universe being logical, and therefore being able to be understood by humans. Science is essentially a system or method for determining facts. The system of science is and is based on logic (Postulates, theories, hypothesis, deduction, etc...) so it's somewhat embarrassing to have an irrational number such as pi.

The universe is supposed to be rational. If it wasn't how could we ever figure anything out? According to the rules of science, logic can be applied anywhere to figure out or solve a problem. But this hasn't worked with Pi. People have spent their whole lives trying to solve it in vain.

  • Contradiction or Duality?

Can you imagine wasting a lifetime trying to solve this?:

A line is equivalent to a minimum of two points.

If you take a string (represented as a line) and fold into a circle then compare the distance around the circle (Circumference) with the original length of the line, then the circle's circumference will be approx. 3.14 (Pi π) times larger than it's diameter.

Unlike squares, triangles, and all angels in general, circles, or any curves for that matter, appear to be irrational in comparison.

If we take any measurable distance within the circle and try to divide it evenly into it's circumference, we will not get a whole number or the number we would expect to get with logic.

Common sense or logic tells us, when viewing the circle, that it can be divided equally into parts. However this is just simply not the case. The parts that we divide a circle into, no matter in how many different ways or combination's, never add up to equal the circumference of the circle.

Hence: The Whole is Greater than the Sum of It's Parts


Saturday, January 30, 2010

All Pervading Energy Is Universal Duality

Energy is the same as information as you can't have information without energy. Energy is also heat, or at least one form of energy. Electrical energy is another. There are really many different types of energy that we classify but generally speaking, energy is a property of all matter in the universe. Essentially too, all matter is actually made of energy. The photon for example, is the smallest quantity of energy that can exist in the universe. The photon is extremely small to say the least but in importance it is second to none.

Energy is everywhere and everything. It is all around us, including within us. Energy is like the stuff of stuff; Photons as a result are constantly zipping around everywhere unbeknown to most people. This is because light is actually made up of photons [Vision and Sight: The Photoreceptive eye]. The photons are given off by the sun as light rays that travel millions of miles across space and dust until finally reaching our eyes. Did I also mention that the light is produced by millions of nuclear reactions (fusion) across the surface of the sun?

Energy and matter [duality] are said to be equivalent. I think it is more true to say they are like brothers or sisters; Two sides of the same coin. Both are very similar, with few slight differences. For one, matter tends to be positive as it generally composes the elements whose core components (Nucleus) is positive. Energy on the other hand, most commonly comes in the form of the negatives (-) like electricity, photons, (light) or even simple heat. Of the three, light is the most mysterious and studied. The physicist Albert Einstein for example spent the remainder of his life trying to figure how how light or electromagnetism (+ & -) could be used to solve and explain all problems in physics. That still hasn't been achieved unfortunately but Plant's use it (light) to maintain their life cycle through photosynthesis. And, if you don't get enough light, you can even get a vitamin D deficiency.

So what is energy?

Energy is flow.

And,

There are two types of flow. Each type is opposite to the other type but everyone disagrees on what to call it. In physics and science in general it's usually called either positive and negative or magnetic and electric [Energy of attraction - positive (+) and negative (-)] . In other disciplines it's different though like Yin and Yang being the qualities of Chi. Or you could be much simpler about it: Clockwise counter-clockwise (Spin); up down; right left.


A lot of people call this duality, myself included. Though I'm not really sure what it means, I'm certain it's somehow key to understanding life and consciousness.. and I guess others would be as well considering it's a key principle in all fields of knowledge I am aware of. It's amazing how many two's there are. Two of everything really, right down to the sub-atomic and elemtary particles.




The Full becomes Empty and the Empty Becomes Full:

Flow is the movement or transfer of substance, be it matter or energy or some other thing like time, from one location to another. The substance does this naturally, we are told, to reach equillibrium. I don't know if I always like using such a simple term for such a complex process, but it is a scientific law so form your own conclusions. Otherwise let's just say flow can occur for many many reasons most if not all of which may be ascribed to the end result of balance.

Interestingly enough flow travels in waves. No one really knows for certain why this occurrs but it could be due to the structure of existance itself, otherwise known as space-time. It is thought that since space-time is curved, and flow travels and rests upon space-time (that is, within the deminsions of Length, Width, Height, and Time), the flow should naturally take on a pattern other than a straight line. However that doesn't exactly explain why there are waves. This means things are obviously much more complex than we currently know or understand, especially if you consider the scope of flow. Flow, no matter what shape, form or texture -in all forms- behaves as a wave, be it particle, gas, light, or consciousness itself [e.g. Pi mystery].