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Forums
Physics
Special and General Relativity
Differential equation from derivative of time dilation
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[QUOTE="Orodruin, post: 6018981, member: 510075"] Your starting assumption is wrong. For a general observer for whom the velocity is not constant, the time-dilation is an integral relationship, i.e., $$ \tau = \int^t \gamma^{-1} \, dt, $$ not ##\tau = \gamma t## (also note that it is ##\gamma^{-1}##, not ##\gamma##). Only for constant speed does this integrate to ##\tau = t/\gamma##. This is never the case. That derivative will always be ##\gamma^{-1}##. [/QUOTE]
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Forums
Physics
Special and General Relativity
Differential equation from derivative of time dilation
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