Re: A New Solution to the Twins Paradox, and Others

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#6215

From: nessunoic
Date: Wed, 31 Oct 2007 17:04

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On Oct 31, 3:15 am, "Androcles" <Engin...@hogwarts.physics> wrote:
> <nessun...@hotmail.com> wrote in message
>
> news:1193789875.006950.283910@57g2000hsv.googlegroups.com...
> :> "For the entire outward and return parts of the trip, B does
> : > observe A's clock running slow
> :
> : And this is not true.
>
> Yes it is, we call that Doppler shift.

Well, in reality B does observe A's clock running faster than his own
when they approach each other
and slower than his own when they move away from each other.

I will give a simple example:
If A and B move towards each other at relative speed of 0.8c (80% of
speed of light) then they see each other living faster 3 times
If A and B move away from each other at the same speed of 0.8c (80% of
speed of light) then they see each other living slower 3 times

the factor of 3 is from sqrt((c+v)/(c-v)) = sqrt(1.8/0.2) = 3
this is a combined effect of doppler shift and time dilation. the
dilation factor itself in this case is sqrt(1-v*v/
c*c)=sqrt(1-0.64)=0.6

So for example if A is moving at 0.8c speed away for 8 light years (as
seen from B frame of reference) then he would spend 10 years (as
calculated by B) and his (A's) own time would pass 6 years (A's
internal clocks would tick 6 years). As you can see the time dilation
factor is indeed 0.6 cause in agreement (10 years in A frame)*0.6= (6
years in B frame). But 10 and 6 years is what they calculate the time
flow should be, but what they actually see with their eyes is 3x
slower processes when moving away from each other.

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From:  nessunoic@hotmail.com
Newsgroups: sci.physics.relativity,sci.physics,sci.astro,fr.sci.physique,fr.sci.maths
Subject: Re: A New Solution to the Twins Paradox, and Others
Date: Wed, 31 Oct 2007 10:04:48 -0700
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