Maxwell's Distribution Law is not applicable to particles moving at speeds close to the speed of light, such as protons and positrons. The law assumes a non-relativistic framework, represented by E = p^2/2m, which holds true for electrons and protons at reasonable temperatures. Even in extreme environments like the center of the sun, particle velocities remain non-relativistic. Relativistic effects only become significant at temperatures reaching billions of degrees Kelvin. Therefore, modifications to the Maxwell distribution are necessary under such high-energy conditions.
