Ok .. now I get the issue.
So, I'll have a guess and say that where Schutz is coming from, is the observer's perspective (as opposed to the travelling box's perspective).
The observer (in an external frame of reference) would see the length contraction. If he sees this, then wouldn't he also expect (or predict) a pressure change in the gas ?
So, the pressure change could be used to calculate the inertial mass density as as he shows ?
However as the box approaches c, doesn't the mass also increase towards infinite ?
(I'm not trying to answer this from knowledge, guys … I have no direct knowledge about Lorentz transformations !! ... just trying to reason out a possible answer).
Interesting topic .. thanks Bojan, and everyone !
Cheers
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