Tuesday, March 10, 2009

Is time relative?

Absolute and Relative... Time and Space

Once upon a time there were two Shishyas, X and Y and a Guruji called O.

"We had the same dream last night, Guruji.." , both the Shishyas reported to Guruji. "We saw a man and he told his name Einstine. He was laughing at us saying that you and your Guruji, all are insane. Time is actually relative"

"Ohh,,," Guruji took a deep breath."May be he is right. But, let us check it out"

Then X spoke out, " For most of us relative distance make a good sense. When we talk about distance of something, it is incomplete unless we specify from where. So we do agree that distance is always relative.But, then what is relative time and absolute distance?"

Guruji said, "Ok. Let me try. Close your eyes". They closed their eyes and saw they were in the space where three space shuttles were waiting for them.

Guruji had four tapes. Out of them, two he tied to his space craft at one end and handed the other end of tapes each to X and Y. "This will tell you how far you have gone". He tied one end of third tape to X's space craft handed other end to Y. "This will tell Y, how far he is from X.". Then the last one he tied to Y's space craft and handed other end to X."This will tell X, how far is from Y".Shishyas nodded."And, as you go along keep shouting out your distance"

BRUHHHHHHHHHHMMMMMMMM....

Space craft's of X and Y, started moving away from Guruji, along two straight paths. Shishya's looked at tape1 and tape2 respectively, which were showing their distance from Guruji. Then they started reporting,
X and Y, "1 km"
Guruji, "ok"
X and Y, "2 km"
Guruji, "ok"
X and Y, "3 km"
Guruji, "ok"
X and Y, "4 km"
But, There was no ok.
Guruji cut both the tapes from his space craft and looked at them with a smile. Tape1 and tape2 simply went loose as their other end was not tied to anything now. The reading on them was no more useful.

"But, Guruji asked us to report distance", X shouted.
"Let us readout distance in tape 3 and tape 4". Y suggested."Distance of you from me and distance of me from you. And as it is Guruji never told us distance from what, we can always tell distance from anything".
"But, what if you and I let go the end of tapes that are tied to our space craft?", X wondered.
"No problem, We have steerings here to space craft. We can come closer retie them and keep going again", Y replied.
"But, there is no way we can go back to Guruji. These space crafts are thrown away from him and they are continuously moving away from that point. There's no way we can reverse. These steerings can take us right of left, but no back to Guruji", X said nervously.

With this Guruji told, "open you eyes". He had a paper and pencil in his hand and a figure drawn.



Absolute distance - Consider an explosion (similar to a big bang) in a 2 dimensional plane as shown in the picture above. There is only a single mass available at point O, and suddenly something happens. The mass splits into two objects X and Y and thrown out in the space. Imagine that there are two observers on each of the objects X and Y. With this as a scenario, let us explore what terms relative and absolute mean to us.

Let us imagine that both the observers are carrying a tape each (Tape1 and Tape2). There is hook available at point O which do not change its position even in the explosion. One end of the their tapes remain hooked at point O, while the other end can read the position from point O.

The reading taken by observers Dx and Dy, will be called their absolute distances.

Let us now imagine that there are hooks available on point X and Y. Two more tapes (Tape3 and Tape4) are hooked at one end these hooks while the other end of these tapes measures distance of X from Y or vice versa.

The reading taken by either of the observers d, will be called relative distance.

Now, we know that there can't be a hook at point O. This is because there can not be matter at point O or the point 'O 'it self could be moving. In fact, the point O becomes undefinable after explosion. So, we really can not measure Dx and Dy. What we measure is d. If we know d and also angle between the paths of X and Y had been known (considering that the paths are straight lines and both X and Y travel at same velocity), perhaps we can calculate Dx or Dy. But, we can not decide whether the paths are straight, absolute velocities of X or Y are the same or what angle the paths make between them. So let us conclude that, it is not possible to measure absolute distance but distance measured is always relative.

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