Going Back To Durian Constantly

If we indulge in the what ifs and maybe's especially from the post "A Constant Serial Killer" dated 12 May 2016, where the Durian Constant,

$A_{\small{D}}=\cfrac{4}{3}\pi(2c)^3$

and

$R=2*\cfrac{4}{3}\pi=8.377580$

From the Kinetic Theory of ideal gas,

$v^2_{rms}=\cfrac{3RT}{M_m}$

$v^2_{rms}=\cfrac{3*2*\cfrac{4}{3}\pi T}{m_a\cfrac{4}{3}\pi(2c)^3}$

where $m_a$ is the mass of one gas particle.  We have,

$\cfrac{1}{2}m_av^2_{rms}=\cfrac{3T}{(2c)^3}$

temperature $T$ is just the average kinetic energy of one free gas particle scaled by a factor, $\cfrac{(2c)^3}{3}$

$T=\cfrac{(2c)^3}{3}*\cfrac{1}{2}m_av^2_{rms}$

The factor $\cfrac{1}{3}$ accounts for any one direction of travel of the particle in a $3D$ volume and $(2c)^3$ is the volume containing all the particles numbered in one Durian Constant, within which they are all entangled.

This does not validate $T_{boom}$, but shows in general what $T$ here measures as oppose to the number of  $T^{+}$ or $T^{-}$ particles.  $T$ indicates the total kinetic energy of all the particles within a $(2c)^3$ volume, along one particular direction.

If $m_a$ is in mass density then, the term

$(2c)^3$*m_a

is the total mass within the volume.  With the factor $\cfrac{1}{3}$ we are concern only with one of the three orthogonal directions in space.

Have a nice day.