Everything Goes

In formulating the expression for Boltzmann constant in the previous post "Broken Boltzmann Constant", an interesting issue arises with the introduction of \(n_T\), the number of temperature particles associated with each gas molecule and the changing \(\alpha_{q_T}\), the partial charge of the positive temperature particle. (Both of these are mean values of their respective distributions given a population of gas molecules and temperature particles.)

Are the temperature particles being replaced or do their \(\psi\) changes from a quantized value of \(\psi_1\) to \(-\psi_1\) under the influence of an external temperature potential that reduce temperature (ie cooling it)?  In effect, can a positive temperature particle be slowed and then made to spin in the opposite direction turning it into a negative temperature particle?  At this point, the particle does not produce an electric field in the direction perpendicular to the plane of its spin, but a gravitational field in the direction given by the right hand screw rule.

Is \(\psi=0\) an admissible solution?

Is it possible, as in photoelectric effect, to bounce temperature particles with the corresponding photons obtained when the waves/particles are accelerated in space to light speed?

It is possible both to replace a temperature particle and to change its energy density \(\psi\).  Unless there is a specific law in physics that forbids, everything goes pop.  But it is not possible to change a positive particle to a negative particle or vice versa, because \(\psi=0\) is an admissible solution.  At \(\psi=0\) the particle disappears, no further change can occur beyond the zero value.