From the post "Drag and A Sense of Lightness",
\( r_{ ec }=\cfrac { q^{ 2 } }{ 4\pi \varepsilon _{ o }m_{ e }v^{ 2 } } \)
and \(v^2=2c^2\), also
\(\cfrac{r_{ec}}{r_e}=1-\cfrac{A}{m_e}r_{e}\)
where \(A\) is the drag factor. Therefore,
\({r_{ec}}=r_{e}-\cfrac{A}{m_e}r^2_{e}\)
\(\cfrac{A}{m_e}r^2_{e}-r_{e}+{r_{ec}}=0\)
\(r_{e}=\cfrac{1\pm \sqrt{(-1)^2-4\cfrac{A}{m_e}{r_{ec}}}}{2\cfrac{A}{m_e}}\)
\(r_{e}={\cfrac{m_e}{2A}}\left\{{1\pm \sqrt{1-4\cfrac{A}{m_e}{r_{ec}}}}\right\}\)
From the post "Temperature, Space Density And Gravity", it was postulated that electron and proton pair are matter and antimatter pair, when a electron collide into the nucleus, total annihilation occurs and huge amount of heat is produced.
\(r_{e}={\cfrac{m_e}{2A}}\left\{{1\pm \sqrt{1-4\cfrac{A}{m_e}{r_{ec}}}}\right\}<r_{n}\)
where \(r_{n}\) is the radius of the atomic nucleus.
The drag factor is directly proportional to density, if space behave the same,
\(A=A_o\cfrac{d_s}{d_n}\)
where \(A_s\) is the drag factor of space at space density \(d_s\) and \(A_o\) is the drag factor of normal free space, \(d_n\) uncompressed. \(d_s\) decreases with increasing \(T\) and so \(A\) decreases with increasing \(T\). From the post "kaBoom",
\(d_s-d_n=B.h(lnT)\)
\(\cfrac{d_s}{d_n}=E.h(lnT)+1=f(lnT)\)
where \(E=\cfrac{B}{d_n}\) and \(f(lnT)\) is a function in \(lnT\)
then the condition for matter/antimatter annihilation is,
\(\cfrac{m_e}{2A_of(lnT)}\left\{{1\pm \sqrt{1-4\cfrac{A_of(lnT)}{m_e}{r_{ec}}}}\right\}<r_{n}\)
Does the L.H.S decreases monotonously with increasing \(T\)? If it does then matter/antimatter annihilation is possible by increasing the temperature of a confined heavy element whose \(r_n\) is large.
