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The Philosophy of Time

Feb 13, 2013 ,

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Consider the case of a harmonic oscillator. An observer attached with thisoscillation will find that the time never goes beyond a certain limit. It reverts again and again. The time repeats itself in an uncountable fashion. He, sitting on the oscillator finds that the time runs in a very peculiar way when he looks upon the intermediate points between the extremes, through which he passes by. He finds that the time runs very fast when a particular point is being crossed that is the equilibrium position. He finds that at the end points the time ceased to flow and then reverts its direction and at the other end it ceases again. He, if having the memory finds that there is no meaning of infinitely long line of time. He finds that the time is bounded in limits. Now consider the case of an another observer who is not sitting on the oscillator but stands at a fixed point in space. He finds that the time attached with oscillator actually is infinitely long line. If he doesn't know the starting of oscillation , he will never be able to say that whether the time has a start or whether it has an end. His scale of measuring the time, is associated with his own changes and so he will never be able to say whether the time has ever been speeded up or slowed down.

We give a special consequence of hypothetical situation when one looks upon the universe around him. We know that the one feels the time is associated with some processes. Suppose one is looking upon the things, imprisoned in a big box which has the boundaries far large to touch for the person. He is no way able to determine the boundaries of the box at a fixed time being in box. Now assume that he is of point extension and hence consumes no space. Now suppose the box contracts then he will find the space being contracted around him by observing the various things coming closer to each other. In this process he will find that the things have been merging in each other. Now the space available for the various objects becomes less and less and therefore according to quantum mechanics the speed of objects will increase accordingly but as we have already assumed that the boundaries cannot be transcended. So we can say that there takes place some sort of confinement of the objects in available space. This type of motion is like the oscillatory motion and the things bounce back and forth and finally coalescing into each other. The time interval for any such oscillator gets shorter and shorter. The objects grow denser and the available space reduces , finally when all the space and objects merge into a single point say on our observer and there is no more spaceavailable for motion, the time interval being so short finally ceases and the changes

freeze. Now there is no way to know for anyone that how long the time has been stayed or in other words abolished. Now if it expands again and the space becomes available for changes to take place, only then the time will be realized but it will be a completely new time and we can say that the time has a start. This is more or less the situation of big­bang of our universe if we trace it back. So nobody knows that how long the universe had been in singularity state and what the situations have been of the universe before this singularity, on the basis of any observation? But on the other hand there may be a case say when the observer presuming himself in the singularity tries to explain the evolution of universe finds any sudden changes like inflation then it will be evident that there might have been the situations when the time halted.


Acknowledgement: I am very much thankful to Dr. Premsagar Mishra for his kind encouragement and discussions. I am also very much obliged to H.R.I., Allahabad for its kind support to me to study the stuff related to Time. My sincere thanks goes to Mr. Divyendu Priyadarshi who continuously encouraged me to write this paper. And at last I am obliged to Dept. of Physics, B.H.U. Varanasi for providing me the internet and office facilities.

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By Dheeraj Shukla,
Dept. of Physics, Centre of Advance Studies,
Banaras Hindu University, Varanasi­221005 (U.P.), India
Email: dheerajkumarshukla@gmail.com

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