407(4): Development of the New Theory of Atoms

The major new insight is given by Eq. (1), which is developed into a relativistic theory. This gives several new insights on the non relativistic and relativistic levels. For example the energy levels of the Schroedinger H atom are the negative of the expectation values of the electronic kinetic energy in each orbital. The energy levels of the Sommerfeld atom are the Thomas precession per radian multiplied by the rest energy, m c squared. The force equation and spin connection are derived, and the expectation value of the Lorentz factor defined. The ordinary non relativistic kinetic energy is the Thomas half multiplied by the rest energy. So elements of relativistic theory combine to give a familiar non relativistic result. The Thomas half is obtained by spinning the ECE2 line element.

a407thpapernotes4.pdf