The Relativistic Boltzmann Equation and Two Times |
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Authors: | L P Horwitz |
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Institution: | 1.School of Physics, Tel Aviv University, Ramat Aviv 69978, Israel;2.Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel;3.Department of Physics, Ariel University, Ariel 40700, Israel |
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Abstract: | We discuss a covariant relativistic Boltzmann equation which describes the evolution of a system of particles in spacetime evolving with a universal invariant parameter . The observed time t of Einstein and Maxwell, in the presence of interaction, is not necessarily a monotonic function of . If increases with , the worldline may be associated with a normal particle, but if it is decreasing in , it is observed in the laboratory as an antiparticle. This paper discusses the implications for entropy evolution in this relativistic framework. It is shown that if an ensemble of particles and antiparticles, converge in a region of pair annihilation, the entropy of the antiparticle beam may decreaase in time. |
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Keywords: | SHP theory invariant world time Einstein-Maxwell time relativistic Boltzmann equation antiparticles entropy flow |
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