Stephen Hawking in his book "A BRIEF HISTORY OF TIME" mentions a strange fact about the thinking of the people before twentieth century as " It is interesting reflection on the general climate of thought before the twentieth century that no one had suggested that the universe was expanding or contracting." I am not referring here about the expanding universe but I am pointing at the thinking of people. This was the time when infinite static model failed and yet people tried to justify by assuming illogical phenomenon of repulsive gravity. This particular statement holds good even today. In order to explain present day quantum physics the "people" have gone crazy enough to predict ten to eleven dimensions. They are just trying to complicate things by involving various parameters and dimensions. But God created this universe so that every ordinary person can understand it and appreciate the glorious creation. Here I have tried to bring forward a whole new way of understanding universe with simple language and common sense. If you spare few minutes and read this paper it will change your thinking.
In real number system we consider there exists infinite number of numbers present between two numbers. This is something that requires no proof. But applying real numbers to physical matter or to any system existing in universe doesn't hold good. I am nor a mathematician neither a Professor but I can justify the above statement using a bit of common sense. Can a point (for example (x, y, z )) exists in a continuous coordinating system ? This question might sound totally ridiculous but that very question has given me sleepless nights. After a lot of effort I came to a conclusion that it doesn't exist. A point can exist only in a discrete system. In order to explain this lets consider a simple experiment. Suppose you have an rod of length "L" and you have to cut it in pieces as small as possible. If I ask you how much time will it take you would say few hours or for a large rod few days. And that is where you make an mistake. The answer is for any valve of "L" it would take infinite time. If you don't agree with me then this thought experiment will convince you. Imagine you were able to do pieces of millimeter order, then still you haven't reached the smallest length. So you again start cutting and somehow you reached nanometer order, then also you haven't reached smallest length. So you again start cutting it and even you reach fermi level there still exists smallest length because you have assumed real number system holds good for measuring length. And if you go on further reaching smaller length dimensions of order 10^(-20), 10^(-25), 10^(-30), 10^(-40) and further, and further then also real number system says there exists smaller dimensions. So you can never cut a piece to a smallest dimension even if you are given infinite time. And you know the smallest dimension is nothing but a point, and it has been proved that point can never obtained.
If you are not convinced with that then lets take another example you are given a graph sheet and asked to mark a point 2.5cm away from origin along X-axis. This would be the easiest graph you would ever plot but I would say not even the greatest mathematician will be able to plot this. The answer is simple, it is impossible to have a scale which would measure exactly 2.5cm from origin. And if such a scale exists then the manufacturer has to spend infinite amount of time for checking that the scale exactly reads 2.5000000000000000000000........................................... and these zeros continue up to infinity. Now you will say me somewhere you have to make an approximation, lets check up to 20 zeros after 2.5 and consider it as exact 2.5cm. And this is where the concept of discreteness gets introduced. Unknowingly we are considering length is discrete and dimensions are discrete.
Is integration a continuous process ? Most of you may think Integration a continuous process but it is not. While performing integration we are assuming that the variable quantity doesn't vary over a interval say "dx" or "dy" and we consider this interval to be tending to zero and exactly here we are bringing discreteness in disguise.
Now, let me introduce you to a brand new theory called as "COMPACT DISCRETE THEORY OF UNIVERSE" which deals with discreteness of various fundamental quantities. Here are the two postulates :
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There are only two types of number systems practically applicable, they are
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Integers &
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Natural Constants number system
( Natural Constants number system includes all natural constants like charge of an electron, Value of pie, Napier's constant (e) etc)
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Every physical quantity can be expressed as integral multiple of natural constant.
October 25 12:15 AM
2007
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