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1 = v^2 + t^2? and look at spacetime as velocity as x axis, time as y axis. 
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#1
Jan1212, 06:45 PM

P: 140

I am not so sure how to explain this. But when looking at sqrt( 1  v^2/c^2 ) for time dilation. It seems to follow that you may be able to think about it as 1 = v^2 + t^2 if look at v as fraction of c, and t as the amount a clock will be dilated.
Then you could think about it in your frame of reference that all objects are moving at 1 through spacetime. If the velocity of an object gets larger then that just means that the t gets smaller. 


#2
Jan1212, 08:08 PM

PF Gold
P: 4,781

You explained it very well. The equation you derived is for the reciprocal of gamma, the time dilation factor. It plots as a circle. See this post:
http://physicsforums.com/showpost.ph...81&postcount=6 


#3
Jan1312, 09:34 AM

P: 4

I think it's more like sqrt(x^2 + y^2 + z^2 + t^2) = 1
4 dimensional law of pythagoras, using space and time. next step is using this to understand / work out a twin paradox :) 


#4
Jan1312, 10:12 AM

P: 3,091

1 = v^2 + t^2? and look at spacetime as velocity as x axis, time as y axis.
that should be a  t^2 right?



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