Note 407(1): Thomas Precession in Planetary Orbits and the H Atom Orbitals
This note shows that the well known energy levels of the H atom are due to Thomas precession as given by Eq. (38). This is a very remarkable result not known hitherto. So the well known Schroedinger H atom can be developed in terms of the fine structure constant, the Einstein rest energy m c squared, and the electron rest frequency m c squared / h bar. These are all relativistic concepts. Here n is the principal quantum number. Choosing n = 1 shows that there is a Thomas precession of 4.14 degrees as given by Eq. (41). Also, for n = 1 in atomic H, (v / c) squared = alpha , where alpha is the fine structure constant, so v / c = 0.0854. Alpha is 1 / 137. This is one way of showing that Thomas precession is not a small effect in atoms and molecules. It is well known that it emerges from the ECE2 fermion equation, a development of the Dirac equation. The Thomas precession (1) from rotating the ECE2 covariant line element (1) looks completely different but the two effects are based on the same theory. The EGR has fallen apart completely, so the only thing that can be claimed theoretically now is that the Thomas precession of a nearly circular orbit, Eq. (46) is part of the observed precession. Thomas precession is numerically a third of the de Siitter or geodetic precession, but the latter is incorrectly calculated from a geometry without torsion. It is of key importance to note that the standard model always gives the result (40) from its own equations. The standard result (49) refutes the standard claim (51), and the entire structure of EGR collapses completely. It was bound to to so because its geometry is completely wrong. There are many schools of ECE thought building up in essentially all universities of any note that are interested in physics, and a vast amount of interest from various sources in up to 192 countries. This is clear from the scientometrics. The next note will deal with commutators of Lorentz boosts in order to find exactly how the Thomas precession emerges. A complete new theory is in place, based on vacuum fluctuations.