Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: Simplified Twin Paradox Resolution.
Replies: 25   Last Post: Jan 8, 2013 1:51 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Koobee Wublee

Posts: 1,417
Registered: 2/21/06
Re: Simplified Twin Paradox Resolution.
Posted: Jan 4, 2013 1:03 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Jan 3, 5:52 pm, Sylvia Else <syl...@not.at.this.address> wrote:

> Instead, on Earth there is a clock and a camcorder with a very powerful
> telescopic lens and a tranceiver There is also a spacecraft travelling
> at velocity v towards Earth, similarly equipped. For simplicity, we
> treat Earth + clock + camcorder + transceivers as a single point.
> Similarly for the spacecraft.
>
> After some time T in its own frame, the spacecraft encounters a most
> similar spacecraft headed towards Earth at velocity v relative to Earth.
> As they pass, the first spacecraft transmits its entire camcorder
> recording to the second spacecraft, and the second spacecraft's clock is
> set to the value shown by the first spacecraft's clock. The camcorder on
> the second spacecraft then starts recording, continuing the recording it
> just received.


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>

Did PD get it right?

> [snipped garbage]

Of course not, what do you expect from an Einstein Dingleberry?
<shrug>

After abandoning the projection crap, is Tom very busy trying to find
an excuse to resolve this through projection again? Koobee Wublee is
not surprised since Tom has already decided SR as a valid hypothesis
despite lack of any professional validations. <shrug>

POINT BLANK IN YOUR FACES, PD, PAUL (ANDERSEN), AND TOM (ROBERTS)!
<shrug>


Date Subject Author
1/4/13
Read Re: Simplified Twin Paradox Resolution.
Koobee Wublee
1/4/13
Read Re: Simplified Twin Paradox Resolution.
Sylvia Else
1/4/13
Read Re: Simplified Twin Paradox Resolution.
Brian Q. Hutchings
1/4/13
Read Re: Simplified Twin Paradox Resolution.
Koobee Wublee
1/5/13
Read Re: Simplified Twin Paradox Resolution.
Sylvia Else
1/5/13
Read Re: Simplified Twin Paradox Resolution.
Lord Androcles, Zeroth Earl of Medway
1/5/13
Read Re: Simplified Twin Paradox Resolution.
Koobee Wublee
1/6/13
Read Re: Simplified Twin Paradox Resolution.
Sylvia Else
1/6/13
Read Re: Simplified Twin Paradox Resolution.
Koobee Wublee
1/6/13
Read Re: Simplified Twin Paradox Resolution.
Sylvia Else
1/6/13
Read Re: Simplified Twin Paradox Resolution.
Lord Androcles, Zeroth Earl of Medway
1/6/13
Read Re: Simplified Twin Paradox Resolution.
Paul B. Andersen
1/7/13
Read Re: Simplified Twin Paradox Resolution.
Koobee Wublee
1/7/13
Read Re: Simplified Twin Paradox Resolution.
Paul B. Andersen
1/7/13
Read Re: Simplified Twin Paradox Resolution.
Vilas Tamhane
1/7/13
Read Re: Simplified Twin Paradox Resolution.
Dono
1/7/13
Read Re: Simplified Twin Paradox Resolution.
Koobee Wublee
1/7/13
Read Re: Simplified Twin Paradox Resolution.
Vilas Tamhane
1/7/13
Read Re: Simplified Twin Paradox Resolution.
Brian Q. Hutchings
1/8/13
Read Re: Simplified Twin Paradox Resolution.
Lord Androcles, Zeroth Earl of Medway
1/6/13
Read Re: Simplified Twin Paradox Resolution.
Vilas Tamhane
1/6/13
Read Re: Simplified Twin Paradox Resolution.
Sylvia Else
1/6/13
Read Re: Simplified Twin Paradox Resolution.
Vilas Tamhane
1/6/13
Read Re: Simplified Twin Paradox Resolution.
Sylvia Else
1/7/13
Read Re: Simplified Twin Paradox Resolution.
Brian Q. Hutchings

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.