How Cold Can Two Get?

More Methane $CH_4$ data,



What's more exponential than $e^{T}$?  $e^{T^2}$, $e^{T^{T}}$?

Temperature squared, $Temp^2$ is not enough.

Data for the following graph was not printable.  $T^T$ was too big.  Although the graph was still presented by the spreadsheet program. The graph is just a series of data points from 1 to 15 on the x axis.

Temperature to the power of temperature.   Which make $0^0=1$ a testable reality.  But

$ln(n)=1$ makes $n=e=2.718$

Is this the minimum $n$ for Bose-Einstein condensate?  $\lfloor n \rfloor=2$?

For any other $n$, $Temp\ne0$; temperature simply cannot be zero.  This suggests that Absolute Zero is attainable only with a pair of particles.  We have not considered the gradient and y-intercept of the regression line.

If the gradient is $A$ and the y-intercept is $C$ then,

$ln(n_{0})=A.0^0+C$,  $n_{0}=e^{A+C}$

which could be any number.  We are still in trouble if Absolute Zero is achievable only with a specific number of particles.

Goodnight.