Relativistic Density - Check My Work & Learn Methods

[jbriggs444]

I think @PeroK and myself are on the same page here. If you perceive a conflict, either of us can probably clarify it away.

 

[LilRubyKinz]

Okay thank you!

 

[PeroK]

I think @PeroK and myself are on the same page here. If you perceive a conflict, either of us can probably clarify it away.

Yes, I agree.

I was distracted trying to find a way to show that it's true in general, even when motion is not in the same direction as one side of the cube. Which I've just spotted!

 

[jbriggs444]

I was distracted trying to find a clever way to show that it's true in general, even when motion is not in the same direction as one side of the cube. Which I've just spotted!

I was taking it as an obvious geometric property -- scale down one dimension by a factor of $\gamma$ and the volume clearly goes down proportionately.

I gave a moment's though to Terrell rotation, but it does not apply.

 

[PeroK]

I was taking it as an obvious geometric property -- scale down one dimension by a factor of $\gamma$ and the volume clearly goes down proportionately.

Yes, I was only thinking about cubes, parallelopipeds and the triple scalar product! Then, I realized ...