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## Main Question or Discussion Point

If one wants to calculate the elapsed time from the perspective of an object A moving at velocity, v, for time, t, relative to a stationary object B, all you have to do is calculate:

[tex] \int_{t_o}^{t_f}\frac{t}{\gamma} [/tex] Of course, [tex] \gamma [/tex] has no dependence on t because v is constant, so we get: [tex] \int_{t_o}^{t_f}\frac{t}{\gamma} = \frac{t_f-t_o}{\gamma} [/tex]

My question is if this can be plainly extended to accelerated reference frames where the velocity is changing. In other words is this equation valid for calculating elapsed time when velocity varies : [tex] \int_{t_o}^{t_f}\frac{t}{\gamma(t)} [/tex] where [tex] \gamma(t) [/tex] is the lorentz factor at time t?

I will try to make this more clear later. Any insight is appreciated.

[tex] \int_{t_o}^{t_f}\frac{t}{\gamma} [/tex] Of course, [tex] \gamma [/tex] has no dependence on t because v is constant, so we get: [tex] \int_{t_o}^{t_f}\frac{t}{\gamma} = \frac{t_f-t_o}{\gamma} [/tex]

My question is if this can be plainly extended to accelerated reference frames where the velocity is changing. In other words is this equation valid for calculating elapsed time when velocity varies : [tex] \int_{t_o}^{t_f}\frac{t}{\gamma(t)} [/tex] where [tex] \gamma(t) [/tex] is the lorentz factor at time t?

I will try to make this more clear later. Any insight is appreciated.