- #36
- 9,209
- 2,430
ghwellsjr said:So I think your question about whether it's an invariant measure is really asking does it give the contracted distance in the rest frame of the traveler, correct? My scheme does that. I don't know about PAllen's.
It does give a contracted distance when the 'road' is moving by 'fast'. This is formally described in the property I gave in post #7:
Given an event P, and a world line L in the congruence not containing P, then a sequence of geodesic world lines connecting P to L such that min(v) is increasing, and min(v) approaches c, then the odometer reading for the sequence approaches zero.