Rishavutkarsh said:
well if light comes from another direction then we should see it at 199%C right? but we don't because length expands and time fastens relative to a observer on earth
the reverse happens when light comes from our side we should see it at 1%c but we don't due to length contraction and time slowing relative to the same observer on Earth
these both can't take place simultaneously do u get my point now
please tell if am assuming something wrong
Have you ever considered how it is possible to see the speed of light? You cannot see light in transit, can you? You can only see it when it gets to you, correct?
Let's forget about relativity for the moment and see what happens if there were no time dilation and no length contraction.
Now, if a flash of light were approaching you from the front, it would be correct that it would be traveling toward you at 199%C, just like you said and if another flash of light were approaching you from behind, it would be correct that it would be traveling at 1%C, again, just like you said. But how would you measure these two speeds?
In order to measure the speed of light, you need to have a timing device and a mirror placed some fixed, measured distance away from you and traveling with you. You need one mirror behind you for light approaching you from the front and another mirror in front of you for light approaching you from behind.
So for the light coming from in front of you, you start your timer when the light first hits you, then you wait until the light hits the mirror that is a fixed distance behind you and reflects off it and starts coming back toward you from behind. When it gets to you, you stop the timer. Then to calculate the average speed of light, you take double the fixed, measured distance to the mirror and divide by the time on your timer. Does this make sense to you?
And in a similar way, for light coming from behind you, you start the timer when the light first hits you, then you wait until the light hits the mirror that is a fixed distance in front of you and reflects off it and starts coming back toward you. When it gets to you, you stop the timer. Then to calculate the average speed of light, you take double the fixed, measured distance to the mirror and divide by the time on your timer.
Now if you think about what will happen when you make these two measurements, you will see that you get the same answer for the light coming toward you at 199%C and the light catching up to you from behind at 1%C. Do you see that?
If not, consider this: Let's take the first case where the light is coming from in front of you. It will be traveling at 199%C when it goes from you until it hits the mirror behind you. It won't take very long for this to happen but whatever time it is, let's call it t1. Keep in mind that you don't know what this time is because you cannot yet see that the light has hit the mirror. Now when the light comes back to you, it will be traveling at 1%C and will take a very long time to reach you. Let's call this time t2. Again, you don't know what this value is but you do know the sum, t1+t2, is the time on your timer.
Now if we take the second case for light coming from behind you, it will be traveling at 1%C from the time it hits you until it hits the mirror in front of you but you cannot yet see that happening so you don't know when it happens. Assuming the two mirrors are the same fixed, measured distance away from you, one in front, one behind, this time will be the same as t2, a really long time, correct? And for the trip back at 199%C, the time will be t1, a really short time, correct? So the total time is t2+t1 which matches the time on your timer for the first case.
So now when you calculate the speed of light for the first case and for the second case, you get the same result for both because they both have to take the same time to make the round trip, it's just that the order is different for the two cases.
Remember, we are assuming that time dilation and length contraction don't happen but what if they did? All that would be different is that you would get a different time on your timer and your measured distance would be different but you would still calculate the speed of a flash of light coming toward you exactly the same as the speed of a flash of light catching up to you.
Do you understand all of this?