The Quantum

From the previous post "Speculating About Spectra Series" dated 29 Sep 16,

$a_{\psi\,n}=\sqrt[3]{n}.a_{\psi\,c}$

which suggests energy transition,

$a_{\psi\,n_1}\rightarrow a_{\psi\,n_2}$

$n_1\rightarrow n_2$

occurs as small particles coalesce into bigger particles and when a big particle breaks into smaller particles.

The second case explains the occurrence of two or more simultaneous energy transitions, as a bigger particle breaks into two or more smaller particles.

$a_{ \psi \, 6 }\begin{matrix} \nearrow  \\ \rightarrow  \\ \searrow  \end{matrix}\begin{matrix} a_{ \psi \, 1 } \\  \\ a_{ \psi \, 2 } \\  \\ a_{ \psi \, 3 } \end{matrix}$

$n_{ 6 }\begin{matrix} \nearrow  \\ \rightarrow  \\ \searrow  \end{matrix}\begin{matrix} n_{ 1 } \\  \\ n_{ 2 } \\  \\ n_{ 3 } \end{matrix}$

In the case above, a particle made up of $n=6$ basic particles breaks into particles of size $n=1$, $n=2$ and $n=3$.  $n$ denoting arbitrary energy levels before has now a physical interpretation; it is the number of constituent basic particles.

I have found the quantum!  $a_{\psi\,c}$ is the quantum.