I’ve read some of the questions posted here about absolute hot. Planck’s temperature. I understand that that temp comes from the natural units.
Where my question comes into play is when thinking about the kinetic theory of gases. Where K.E. = 3/2 k_bT and K.E. = 1/2mv^2 I would expect the maximum temp to be a function of mass and velocity. While the max velocity of a thing is the speed of light.
I plugged in the mass of a proton and got something on the order of 10^12 K. Which is no where near the 10^32 K or Planck’s temperature . How can I get a proton to Planck’s temperature without it going faster than the speed of light?