Does relativistic statistical mechanics average over particles that exceed the speed of light? This article seems to imply as such:
It is interesting to note that the classical and quantum statistics of particles do not explicitly limit the speed of particles. The probability of gas particles and free electrons in their statistical models allows large velocities with a probability approaching zero as the velocity goes to infinity.
Could one strengthen this statement as follows?
Even relativistic statistical mechanics (e.g., statistical mechanics which accounts for general relativity) technically allows particles to surpass the speed of light, albeit with vanishing probability.