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How does the length contraction work for proper length? 
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#1
Mar2511, 02:16 AM

P: 141

Well..
Proper length ,from my understanding, is the minimum distance between 2 events in any frame. Then, how does the length contraction work? suppose someone from other inertial frame try to measure the length.. The length will be contracted to L/gamma..shorter than proper length.. Some arguments from physicsforums seems try to tell that the events measured from another frame are completely different events.. 


#2
Mar2511, 05:04 AM

P: 193

So your understanding is wrong.
It is patent that proper length is the longest. And it is not between two events. 


#3
Mar2511, 06:28 AM

P: 141

thx a lot..
btw why not between 2 events? 


#4
Mar2511, 06:55 AM

P: 193

How does the length contraction work for proper length?



#5
Mar2511, 07:23 AM

P: 789




#6
Mar2511, 09:11 PM

P: 141

then why my text defined proper length as the minimum spatial separation possible..?



#7
Mar2611, 12:07 AM

P: 789




#8
Mar2611, 12:21 AM

P: 141

like in spacetime diagram..let one event is on the origin..and another event at the region of space like interval..
such both event have no causality relationship since their spacetime interval is space like.. there is no situation where the second event is in the region of timelike interval 


#9
Mar2611, 12:51 AM

P: 789

Again, the distance between two events is not the same as measuring the length of an object. If you have two events with a timelike interval between them, then the minimum distance you will ever measure between them is if they happen in the same place, and it will be zero. If the interval is spacelike, then there is a world line in which the distance is minimized.



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