Page:Zur Thermodynamik bewegter Systeme.djvu/15

 Thus we come to the result:

When the volume decreases with velocity according to the previous law, i.e. when the dimensions of matter are contracting in the direction of motion in the ratio

$\sqrt{1-\beta^{2}}$,|undefined

then the pressure of every body remains unchanged at adiabatic change of velocity, while the temperature of all bodies decreases in the same measure. Then, no influence of a common translatory motion is observable.

This is in agreement with the contraction hypothesis of, as well as with the theorems derived by from the so called relativity principle.

While assumes the validity of the relativity principle from the outset, we arrived to a certain extent at a proof of the contraction hypothesis, by postulating the theorem that a common translatory motion is not observable for a co-moving observer; or additionally by demonstrating that a volume change must arise in the previously given way at constant pressure.