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I run a facebook group where about 20 friends I've known over the years raise some interesting topic for debate or discussion. One recent post was this: "Relate the first time you had relativity explained to you and understood it enough to have your mind blown."
After a couple of replies one gentleman wrote this, (and here is my question specifically). Is there anything wrong with what he wrote here? Does time dilation involve vectors and direction as well as magnitude?
[EDIT: I know it involves magnitude but was just wondering if direction was involved]
Here is his comment:
"As for the concept of time dilation, it's one and the same with the relativity of motion. The speed of light is constant, yes, which is a mind-blowing concept all by itself. But the velocity of light is not constant, since velocity is a measure of speed and direction, and consequently distance.
If a beam of light were shot up from a mirror lying flat on the floor of the train, to hit a mirror directly above it level with the ceiling of the train, an observer on the train would observe the light beam moving straight up and down. But an observer from outside the train would see the light beam moving diagonally. Thus, to the observer, the light beam, moving at the same speed for both observers, would appear to the observer outside the train to take a longer amount of time to bounce between the two mirrors. Even though the speed of light is the same for both, the velocity and distance covered are different."
After a couple of replies one gentleman wrote this, (and here is my question specifically). Is there anything wrong with what he wrote here? Does time dilation involve vectors and direction as well as magnitude?
[EDIT: I know it involves magnitude but was just wondering if direction was involved]
Here is his comment:
"As for the concept of time dilation, it's one and the same with the relativity of motion. The speed of light is constant, yes, which is a mind-blowing concept all by itself. But the velocity of light is not constant, since velocity is a measure of speed and direction, and consequently distance.
If a beam of light were shot up from a mirror lying flat on the floor of the train, to hit a mirror directly above it level with the ceiling of the train, an observer on the train would observe the light beam moving straight up and down. But an observer from outside the train would see the light beam moving diagonally. Thus, to the observer, the light beam, moving at the same speed for both observers, would appear to the observer outside the train to take a longer amount of time to bounce between the two mirrors. Even though the speed of light is the same for both, the velocity and distance covered are different."
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