Wednesday, January 17, 2018

More X Rays

Since X ray refracts away from the normal,


\(a_{\psi\,n}\gt a_{\psi\,s}\)

So, the approximation that the kinetic energy \(\small{\cfrac{1}{2}mv^2_{boom}}\) is stored solely along \(a_{\psi\,l}\) does not hold.  Part of energy extending \(a_{\psi\,l}\) leads to the shortening of \(a_{\psi\,n}\) to \(a_{\psi\,s}\).

But as a whole, the torus can still be modeled as a totally elastic body characterized by the equivalent of a spring constant \(k\).  \(a_{\psi\,s}\) is the bore of the spring contracting as the spring lengthens.

The torus travels,


perpendicular to the plane of the torus, in the direction opposite to the field (\(E\)) of the dipole.  This was derive from the model of photon as a dipole.

So, from \(a_{\psi\,s}\) and \(a_{\psi\,n}\) the respective the incident and refractive \(\lambda\)s are derived,

\(\lambda_i=2n\pi a_{\psi\,s}\)

and

\(\lambda_r=2n\pi a_{\psi\,n}\)

where \(n\) is the number of wavelengths along \(2\pi a_{\psi}\).  Most of the time, \(n=1\) and is not expected to change across the refracting medium boundary.

Is X ray visible after collapse?  That depends on \(a_{\psi\,n}\), the size of \(a_{\psi}\) after collapse.  Is \(a_{\psi\,n}\) visible?

Which leads to normal color lights...