Lorentz Transformations and Statistical Mechanics

In [Gottlieb (1998)] and [Gottlieb (2000)] we launched a study of Lorentz transformations. We find that every Lorentz transformation can be expressed as an exponential e where F is a skew symmetric operator with respect to the Minkowski metric 〈 , 〉 of form −+++. We provided F with the notation of electromagnetism. Thus we can describe boosts as pure ~ E fields and rotations as pure ~ B fields. An important class of Lorentz transformations corresponding to radiation made its appearance. We have yet to see a description of these “radiation” transformations in the Physics literature.