- #1

LikenTs

- 24

- 3

Then he does the race again at relativistic speed. He sees the road with a Lorentz contraction. However, he has to record the same number of wheel turns N between start and finish. This has to be an invariant.

So he has to measure that the road length is N.2πR/γ, contracted, where γ is the Lorentz factor.

What is happening then, from the pilot's point of view? I think he cannot see his wheel deformed so that it is not a circle of perimeter 2πR, and that he cannot see its radius contracted, and I think that rolling, without slipping, is an invariant. How then does he come to observe the Lorentz factor in the formula and the road contraction?