system
Given the following post, respond as if you're commenting on Reddit:
human
If the speed of light is the maximum speed an object can move then isn't there a maximum temperature?

From my limited experience I understand that heat comes from particles moving and bumping into each other. The faster the particles the higher the temperature. So since particles are moving arent they bound by the speed of light? And if that's true isn't there a maximum temperature since the particle speed is limited? 

Or maybe i'm just confused...
gpt
Temperature is technically defined as the amount of internal energy/entropy of the system. Now let's just ignore entropy for the moment, as that's a much larger discussion. In the non-relativistic picture you are correct in saying that energy and velocity appear to be linked in a simple manner. E=0.5 mv^2 . But as we get to higher velocities, E^2 -p^2 c^2 =m^2 c^4 becomes the equation of interest. Let's for the moment, throw out the m^2 c^4 since it's just a constant term that shifts the energy up uniformly for each particle. E=pc, this E being just kinetic energy alone. 'p' is the particle's momentum. p=(1-(v/c)^2 )^-1/2 mv. So as v->c the first term, called gamma, goes toward infinity. 

tl;dr, we can keep adding more energy even if the velocity doesn't continue to increase.