The positive temperature particle is held by a weak field from a spinning \(g^{+}\) particle,
\(T=\cfrac{G_{\small{B}o}}{4\pi}\cfrac{g^{+}.v_{\small{g}}\times \hat{r_g}}{r_g^2}\) --- (1)
\(T \propto \cfrac{1}{r_g^2}\)
where \(r_g\) is the orbital radius.
The force from a \(T^{-}\) is
\(T=\cfrac{T^{-}}{4\pi \tau_o r^2}\) --- (2)
and the weak field which holds an electron in orbit from the spinning \(T^{+}\) particle is,
\(E=\cfrac{\tau_{\small{E}o}}{4\pi}\cfrac{T^{+}v_{\small{T}}\times \hat{r}}{r_{\small{T}}^2}\) --- (3)
A change in \(T\) due to (2) from a change in \(T^{-}\) of the particle cloud will change \(T\) due to a spinning positive gravity particle in (1). This is the weak field holding a \(T^{+}\) in orbit. The \(T^{+}\) particle changes its orbital radius, \(r_{\small{T}}\) as a result of the change. And the change in orbital radius changes \(E\) from (3).
Since in all relationships,
\(field\propto\cfrac{1}{r^2}\)
and
\(field\propto T^{+}\), \(field\propto T^{-}\)
The change in \(T^{-}\) changes with the electric field \(E\) linearly, ie,
\(E=A.T^{-}\)
where \(A\) is a constant that depends on the orbital radii \(r_g\), \(r\) and \(r_{\small{T}}\). It can be assumed that all velocities are at light speed.
\(v_{\small{g}}=v_{\small{T}}=c\)
This is not at all satisfactory. The radii are not accessible.
Since,
\(V=-\cfrac{q}{4\pi\varepsilon_o r_e}\)
\(V^2=\cfrac{q}{4\pi\varepsilon_o}.\cfrac{q}{4\pi\varepsilon_o r^2_e}=\cfrac{q}{4\pi\varepsilon_o}.E\)
\(V^2=\cfrac{q}{4\pi\varepsilon_o}.A.T^{-}\)
\(V=\left(\cfrac{q}{4\pi\varepsilon_o}.A\right)^{1/2}\sqrt{T^{-}}\)
so, energy \(E_i\),
\(E_i\propto\sqrt{T^{-}}\)
This is wrong! Please refer to a later post "Oops Too Hot!" dated 14 May 2016.
This is wrong! Please refer to a later post "Oops Too Hot!" dated 14 May 2016.
The energy of an electron changes with the square root of temperature in an atom. BUT,
\(T^{-}\ne T_i\) and \(T\ne T_i\)
\(T\ne T^{-}\)
\(T_i\) from the previous post "Entanglement And Energy Partitioning" dated 12 May2016. \(T_i\) is the average energy per particle of an energy partition. Which give, \(T\) temperature as,
\(T=(n_{\small{T^{+}}}-n_{\small{T^{-}}}).|T^{+}|\)
where \(n_{\small{T^{+}}}\) and \(n_{\small{T^{-}}}\) are counts of the respective particles. Temperature of a body is the resultant temperature charge (\(T^{+}\) and \(T^{-}\)) on the body.
And this is how much "A" level physics fills up.