- #1

Kairos

- 182

- 16

$$ N_A = N_0 \ \exp\left(-\dfrac{\Delta t_A \ln 2}{\Delta t_A 1/2}\right) $$

and for the sample at rest on earth

$$ N_B = N_0 \ \exp\left(-\dfrac{\Delta t_B \ln 2}{\Delta t_B 1/2}\right) $$

According to the result of the twins' experiment

$$ \Delta t_B = \gamma \Delta t_A $$

and according to the result of the muon half-life

$$ \Delta t_B 1/2 = \gamma \Delta t_A 1/2 $$

this gives ## N_A = N_B ## contrary to what has been announced. Thank you in advance for pointing out my mistake!