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.