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Thermodynamic entropy has the SI units of joules per kelvin. That is a J/K. So energy divided by temperature. Since both energy and temperature can be related to velocity, aka kinetic energy, then there could be a relationship linked to time dilation. I am not saying that there is though.You would end up with Q = qT/E where q is the charge, T is the temperature and E is the energy. Temperature and energy are both scalars. Charge is a constant for any particular particle. I have no idea if that combination of units is meaningful.If you take the energy as being relativistic then you may have something of interest. Don't quote me on that.