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Proving 4 vectors!

  • Thread starter M. next
  • Start date
  • #1
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In books, it is always posted that velocity (dx[itex]^{i}[/itex]/dt) is not a 4 vector. While du[itex]^{i}[/itex]/ds and momentum are 4 vectors.. But it is never proved.

How to prove this?? I am not finding anyway to it.

You're my last hope!
 

Answers and Replies

  • #3
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Thank you for the reply, but can you tell me which one to use? I mean which formula from the two links?
 
  • #4
Simon Bridge
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Do not apply formulas - test the properties of a 4-vector.
If you do not know how a 4-vector transforms, then learn and revisit the problem of a proof later.
 
  • #5
vanhees71
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  • #6
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Oh thank you! You mean that if I took the proper time and divided that by ds = cdt [itex]\sqrt{1-(v^2/c^2)}[/itex] I should get the 4 components of U. And I say that yes, these looks like (dA^0, dA^1, dA^2, dA^3) as in your link so it is a 4 vector. Right?
 
  • #7
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sorry I meant if I took Ui and divided that by ..
 

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