A relativity problem (train & platform)

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The discussion centers on a relativistic thought experiment involving a train and a platform, exploring how different observers perceive the events of the train's approach and braking. Observers on the platform see the train as short due to length contraction, while passengers in the train perceive the platform as much shorter and can leave marks beyond it before braking occurs. The key point of confusion arises from the relativity of simultaneity, where different observers disagree on the timing of events, leading to the paradox of whether the front of the train passes the platform. Ultimately, all frames agree that the front of the train does pass the platform, but the sequence of braking events varies significantly between observers. The discussion highlights the complexities of understanding relativistic effects and the importance of reference frames in analyzing such scenarios.
  • #31
Farsight said:
Whoa. I'm NOT saying the train ends up 10km long. I'm saying that's not factual, but is an illustration of where the looseness of the thought experiment takes us. And I'm saying that if the train stopped in the middle of the platform the front of the train DID NOT pass the front of the platform.

Don't be rude, MeJennifer.
I am not sure anymore what you are saying :smile:

Does the train pass the end of the platform: YES
Does the train get longer when it decellerates from the perspective of the frame of the platform: YES
Does the train get longer when it is stopped than the length as measured in the train's restframe: NO

Do you agree?
 
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  • #32
Farsight said:
Whoa. I'm NOT saying the train ends up 10km long. I'm saying that's not factual, but is an illustration of where the looseness of the thought experiment takes us. And I'm saying that if the train stopped in the middle of the platform the front of the train DID NOT pass the front of the platform.
If the train does not remain rigid, then the train can elongate, and it definitely will if each part accelerates instantaneously. And if you add something like the Born rigidity condition, the train must accelerate over an extended period, so even if the middle of the train begins to accelerate at the moment it passes the middle of the platform, it may not stop until it has passed the end of the platform.
 
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  • #33
Yes of course I agree MeJennifer. Sorry if I wasn't very clear but please reread my posts. Thank you for that Jesse.
 

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