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Re: Simplified Twin Paradox Resolution.
Posted:
Jan 4, 2013 1:59 PM
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On Jan 3, 11:10 pm, PD as Sylvia Else wrote:
> On 4/01/2013 5:03 PM, Koobee Wublee wrote:
> > Instead of v, let?s say (B = v / c) for simplicity. The earth is
> > Point #0, outbound spacecraft is Point #1, and inbound spacecraft is
> > Point #2.
>
> > According to the Lorentz transform, relative speeds are:
>
> > ** B_00^2 = 0, speed of #0 as observed by #0
> > ** B_01^2 = B^2, speed of #1 as observed by #0
> > ** B_02^2 = B^2, speed of #2 as observed by #0
>
> > ** B_10^2 = B^2, speed of #0 as observed by #1
> > ** B_11^2 = 0, speed of #1 as observed by #1
> > ** B_12^2 = 4 B^2 / (1 ? B^2), speed of #2 as observed by #1
>
> > ** B_20^2 = B^2, speed of #0 as observed by #2
> > ** B_21^2 = 4 B^2 / (1 ? B^2), speed of #1 as observed by #2
> > ** B_22^2 = 0, speed of #2 as observed by #2
>
> > When Point #0 is observed by all, the Minkowski spacetime (divided by
> > c^2) is:
>
> > ** dt_00^2 (1 ? B_00^2) = dt_10^2 (1 ? B_10^2) = dt_20^2 (1 ? B_20^2)
>
> > When Point #1 is observed by all, the Minkowski spacetime (divided by
> > c^2) is:
>
> > ** dt_01^2 (1 ? B_01^2) = dt_11^2 (1 ? B_11^2) = dt_21^2 (1 ? B_21^2)
>
> > When Point #2 is observed by all, the Minkowski spacetime (divided by
> > c^2) is:
>
> > ** dt_02^2 (1 ? B_02^2) = dt_12^2 (1 ? B_12^2) = dt_22^2 (1 ? B_22^2)
>
> > Where
>
> > ** dt_00 = Local rate of time flow at Point #0
> > ** dt_01 = Rate of time flow at #1 as observed by #0
> > ** dt_02 = Rate of time flow at #2 as observed by #0
>
> > ** dt_10 = Rate of time flow at #0 as observed by #1
> > ** dt_11 = Local rate of time flow at Point #1
> > ** dt_12 = Rate of time flow at #2 as observed by #1
>
> > ** dt_20 = Rate of time flow at #0 as observed by #2
> > ** dt_21 = Rate of time flow at #1 as observed by #2
> > ** dt_22 = Local rate of time flow at Point #2
>
> > So, with all the pertinent variables identified, the contradiction of
> > the twins? paradox is glaring right at anyone with a thinking brain.
> > <shrug>
>
> Prove it. Show that you can properly derive an equation that is
> manifestly false.
Prove what, PD? The equation describing spacetime? If you have to
ask, you are indeed a moron. It is a good thing that you are an ex-
college-professor of physics. May God have mercy on your ex-
students. <shrug>
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