Mind explaining it in abit more detail? I'll appreciate it. This part has been hurting my brains for the past few weeks and i still havent been able to come up with a reasonable argument or mindset in assigning the t_0 and L_0 of time dilation and length contraction.
All ive concluded so far is as long as for time dilation, u use t_0 as the person who is moving with the clock. (eg, a guy on the rocket and you on earth, he's measures proper time of him traveling from earth to point X)
For length contraction, L_0 is the person who is can measure the distance at the same time meaning he is not moving with respect with the object.
Is that correct?