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|    sci.physics.research    |    Current physics research. (Moderated)    |    17,520 messages    |
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|    Message 16,729 of 17,520    |
|    Tom Roberts to Luigi Fortunati    |
|    Re: The twins paradox    |
|    22 May 20 19:15:36    |
      From: tjroberts137@sbcglobal.net              On 5/21/20 2:36 AM, Luigi Fortunati wrote:       > [...]       > Where is the conceptual difference that should make the time of a twin       > different from that of the other, if we are talking about Special       > Relativity ONLY?              The difference between the twins comes from the simplicity that applies       only to inertial frames.              If twin A remains at rest in an inertial frame, it is easy to calculate       the age (elapsed proper time) of each twin: simply integrate               T = \integral sqrt(1-v^2/c^2) dt              where T is the elapsed proper time, the integral is taken over the path       of the twin relative to A's rest frame, v is the speed of the twin       relative to that frame (as a function of t), and t is the time       coordinate of the frame. Note that neither position nor acceleration       appear in this equation; all that matters is the speed of the twin       relative to the inertial frame being used to calculate.              For twin A, v = 0, giving an age that is simply the frame's total       coordinate time of the scenario.              For twin B, 0 |
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