\(\psi_n\rightarrow Z*\psi_n\)
does not mean that \(\psi_n\) is of size \(Z\), but that \(\psi_n\) at \( x=z_z\) within the the \(\psi\) cloud has energy at the level plateau that is \(Z\) times that of a big particle.
Similarly, \(\psi_d\) can be of any size but is also at \(Z\) times \(\psi_{max}\), \(n=77\), energy density.
The analogy to water drop in the previous post "Be Like Water..." dated 08 Dec 2017, does imply that when the expression for \(v^2_{max}\) is negative,
\(v^{ 2 }_{ { max } }=\cfrac { 1 }{ m } \cfrac { \psi _{ n } }{ \psi _{ max } }\left\{ \psi _{ n }-\psi _{ max } \right\} e^{ \psi _{ max } }\left( { e^{ 2\psi _{ max } }-1 } \right) ^{ 1/2 }\)
\(v^{ 2 }_{ { max } }\lt0\)
\(v_{ { max } }=i\sqrt{\cfrac { 1 }{ m } \cfrac { \psi _{ n } }{ \psi _{ max } }\left\{ \psi _{ n }-\psi _{ max } \right\} e^{ \psi _{ max } }\left( { e^{ 2\psi _{ max } }-1 } \right) ^{ 1/2 }}\)
\(\psi_n\), when \(v_{max}=i|v_{max}|\) is not a spherical particle.
If this is so, what is then is the nature of this ring of energy density, \(\psi_n=\psi_r\)?
When \(\psi\) was defined, it has no charge property nor specificity as to the nature of its field. It was just simply energy density. By changing one of the space dimension in the formulation of a travelling wave to a time dimension, warps the wave in a circular manner around a center and it is stationary, exerting a potential field around it, ie a charged particle. This charged particle acquires arbitrarily charge, temperature and gravity attributes when the oscillating component and the translational component of its wave nature is assigned to one of three time dimensions. A charge, for example travels along \(t_c\) time dimension and, oscillates between \(t_g\) and one space dimension or \(t_T\) and one space dimension. Its notion of a charge positive or negative is axiomatic and so is the existence of time dimensions of a particular charged energy nature.
The existence of a particle is its time speed along a time dimension, because of this, its \(KE\) along this time dimension is equivalent to its mass (Einstein's \(E=mc^2\)). So, it is induced from this premise that an electrical charge has its analogous time dimension that imbue the particles with light speed along this time dimension, its charge, \(E=qc^2\). Similarly, \(E=Tc^2\). Where \(q\) and \(T\) are the equivalents of mass inertia \(m\) in a gravitational field, in their respective electric and temperature fields. Three time dimensions as there are three space dimensions. Each time dimension in 3D space warp around a space dimension, orthogonal to all space dimensions. Their definitions and assignments remains arbitrary.
What then is the nature of \(\psi\) by itself? A spread of energy density with a propensity to coalesce into a particle? \(\psi\) in this form might be plasma. That makes plasma of different nature too; gravitational plasma, electric plasma and temperature plasma. What is the nature of plasma?
Crunchy or creamy?
