We have from Maxwell,
\(\nabla.E=\cfrac{\rho}{\varepsilon_o}\)
\(\nabla.B=0\)
\(\nabla\times E+\cfrac{\partial B}{\partial t}=0\)
\(\nabla\times B-\cfrac{1}{c^2}\cfrac{\partial E}{\partial t}=\cfrac{1}{c^2}\cfrac{J}{\varepsilon_o}\)
and so, analogously,
\(\nabla.T=\cfrac{\rho_{\small{T}}}{\varepsilon_{\small{To}}}\)
where \(T\) is the temperature force field strength per unit temperature particle (defined later in this post). \(\rho_{\small{T}}\), the negative temperature particle density enclosed inside the closed area for which \(\nabla.T\) is defined.
\(\nabla.G_W=0\)
where a gravitational field is produced by spinning negative temperature particles.
\(\nabla\times T+\cfrac{\partial G_W}{\partial t}=0\)
\(\nabla\times G_W-\cfrac{1}{c^2}\cfrac{\partial T}{\partial t}=\cfrac{1}{c^2}\cfrac{J_T}{\varepsilon_{\small{To}}}\)
where \(J_T\) is the negative temperature particle flow density.
Furthermore, \(\varepsilon_{\small{To}}\) is to be interpreted as the resistance to establishing a temperature force field in free space by a temperature particle, \(T_m\). Such a force field, experienced by other temperature particles, is spherical, centered at \(T_m\),
\(T=F_{\small{/T_m}}=\cfrac{T_m}{4\pi \varepsilon_{\small{To}}r^2}\)
per unit temperature particle. \(T\) is a Newtonian force per unit temperature particle \(T_m\), experienced by other temperature particle inside the temperature field. \(T\) by itself is no longer temperature but a vector quantity. It is possible to define a scalar potential field, \(T_s\), by defining zero potential at infinity (ie. \(r\rightarrow\infty\), \(T_s\rightarrow0\)); as just the derivations of electric and gravitational potentials.
We have a tempero-gravitational wave; a coupled pair of heat and gravitational energy; a wave oscillating between these two forms of energies; travelling at light speed \(c\).
Note: 宝莲灯; spinning negative temperature particles.
where \(J_T\) is the negative temperature particle flow density.
Furthermore, \(\varepsilon_{\small{To}}\) is to be interpreted as the resistance to establishing a temperature force field in free space by a temperature particle, \(T_m\). Such a force field, experienced by other temperature particles, is spherical, centered at \(T_m\),
\(T=F_{\small{/T_m}}=\cfrac{T_m}{4\pi \varepsilon_{\small{To}}r^2}\)
per unit temperature particle. \(T\) is a Newtonian force per unit temperature particle \(T_m\), experienced by other temperature particle inside the temperature field. \(T\) by itself is no longer temperature but a vector quantity. It is possible to define a scalar potential field, \(T_s\), by defining zero potential at infinity (ie. \(r\rightarrow\infty\), \(T_s\rightarrow0\)); as just the derivations of electric and gravitational potentials.
We have a tempero-gravitational wave; a coupled pair of heat and gravitational energy; a wave oscillating between these two forms of energies; travelling at light speed \(c\).
Note: 宝莲灯; spinning negative temperature particles.
