- #1

NoahsArk

Gold Member

- 174

- 13

If a moving frame S

^{1}has a light clock aboard his ship which is one light second high, that light clock will be the same height in the stationary S frame, and the vertical side of the right triangle which represents the light clock will be one light second high. From S's point of view, the base of the right triangle can't be any longer than 1 light second because S

^{1}'s ship can't be traveling faster than light speed. The longest the base of the right triangle can be is slightly less than 1. So, assuming that the height and base of the right triangle are equal, the hypotenuse will never be more than double the height of vertical side. Since the length that S observes the light beam traveling can never be more than double what S

^{1}observes, how can there ever be a gamma factor of more than 2?