Authors (Tolmann, Arzelies) consider that proper temperature T(0) and non-proper one T are related in the I inertial reference frame by(adsbygoogle = window.adsbygoogle || []).push({});

T=T(0)/(1-uu/cc)^1/2 (1) whereas in I' they are related by T'=T(0)/(1-u'u'/cc)^1/2 (2). Expressing the right side of (1) as a function of u' via the addition law of relativistic velocities we obtain

T=T'(1+Vu'/cc)/(1-VxV/cc)^1/2. (3)

Do you see some physics behind (3). Has u'T'/cc a physical meaning eventually via the Boltzmann constant?

Thanks

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# Relativistic thermodynamics problem

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