The Dirac H Atom as a Thomas Precession
Many thanks to Co President Gareth Evans for these kind remarks. Much appreciated. The energy levels of the Sommerfeld and Dirac H atoms are the same, but the Dirac atom gives the spin orbit fine structure by using the SU(2) basis. The energy levels of the Schroedinger and Bohr atoms are the same, but the Schroedinger atom gives the orbitals and much more information than the Bohr atom. The effect of the vacuum on the Dirac atom is the Lamb shift, so this can also be thought of on terms of the Thomas half. The energy levels of the Schroedinger H atom are the Thomas half multiplied by the Einstein rest energy m c squared. This analysis can be extended to all atoms and molecules, and in ECE2 it is developed into a generally covariant unified field theory in a space with finite torsion and curvature. The Thomas half is developed in this space.
This is an astonishing result again. Like a spider’s Web, the strands of physics are pulled together. This is the mind of a master scientist weaving a uniquely original web and leaving many lifetimes of study for scientists to follow.