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What is the proper time used in relativistic non-equilibrium statistical physics?

In the literature one often finds covariant relativistic generalizations of classical non equilibrium statistical equations (Boltzmann, Vlasov, Landau, Fokker-Planck, etc...) but I wonder what is the ...
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Origin of Jet production: Active Galactic Nuclei

According to Netzer's book on Active Galactic Nuclei (AGN), pair production ($\gamma \gamma \leftrightarrow e^+ e^-$) which causes AGN jets presumably happens in "the corona of the central accretion ...