- #106
Muphrid
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solarflare said:i choose the trains frame of reference at the point the lightning strikes ( there is no passenger on the train - the train is completely passengerless - there is no reason to mention when the light reaches the centre of the train because that is not the issue)
if the lightning hits the train simultaneously and the platform observer is equal distance from the two bolts will he see the strikes simultaneously
No, in the train's frame of reference, the person on the platform is moving backwards, and the light from the strike at the rear will reach him first because he's moving toward it.
Edit: what you're describing is emphatically not the situation presented in the video, which is from the platform's frame of reference.
Edit edit: here is a transcript of the video.
Imagine two observers, one seated in the center of a speeding traincar, and another standing on the platform as the train races by.
As the center of the car passes the observer on the platform, he sees two bolts of lightning strike the car, one on the front and one on the rear.
The flashes of light from each strike reach him at the same time, so he concludes that the bolts were simultaneous since he knows that the light from both strikes traveled the same distance to his eyes at the same speed of light. He also predicts that his friend on the train will notice the front strike before the rear strike because from his perspective, the train is moving to meet the flash from the front and moving away from the flash at the rear.
But what does the passenger see? As her friend on the platform predicted, the passenger does notice the flash from the front before the flash from the rear, but her conclusion is very different. As Einstein showed, the speed of the flashes as measured in the reference frame of the train must also be the speed of light. So, because each light pulse traveles the same distance from each end of the train to the passenger, she can only conclude one thing: if she sees the front strike first, it actually happened first.
Whose interpretation is correct? The observer on the platform, who claims that the strikes happened simultaneously, or the observer on the train, who claims that the front strike happened before the rear strike? Einstein tells us that both are correct within their own frame of reference. This is a fundamental result of special relativity: from different reference frames, there can never be agreement on the simultaneity of events.
There is nothing wrong with this video. The person on the platform draws a reasonable conclusion: the flashes reach him at the same time, he was an equal distance from both ends, so the strikes must've occurred at the same time. The person on the train also draws a reasonable conclusion: the forward flash reaches her first, and the distances between both ends are the same, so the forward strike must've been first. There is no contradiction here with the theory. They necessarily disagree on whether the strikes were simultaneous, and the theory of special relativity explains why.
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