
Re: Simplified Twin Paradox Resolution.
Posted:
Jan 5, 2013 8:57 PM


On 5/01/2013 5:59 AM, Koobee Wublee wrote: > 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 > collegeprofessor of physics. May God have mercy on your ex > students. <shrug> >
It was I who wrote "Prove it".
You assert that there are a paradox. I take it you mean in the sense that the theory gives two results for one situation, such that they are impossible to reconcile.
I challenge you to show that mathematically, rather than just asserting it. Do not just point at the maths above and claim that it's obvious.
Sylvia.

