Nugatory
Mentor
- 15,498
- 10,689
Michael Mooney said:If that were true then the distance to Alpha Centauri (or to the Sun) and the length of Earth's diameter would vary with how you measure it. However, in fact astronomy and Earth science have determined those distances and that length very precisely. The actual distance between stars (astronomically speaking) does not change with all possible varieties of measurement frames, nor does the nearly spherical shape of earth.
Now you are misunderstanding what proper length is. It is the length that would be measured in a frame in which both ends of the object are at rest, but it is no more "actual" or "real" than the length measured in any other frame. It's tempting to to dismiss the contracted lengths as less real or even some sort of illusion - but before you succumb to that temptation you should work carefully through Bell's spaceship paradox and Purcell's derivation of magnetic forces.