Authors: John Suss
There is a hidden construction scheme within the relativistic Dirac energy levels of the H atom. Internal quantized speeds appear in the expression for the levels so that they have the form of mass times quantized speeds. It is possible to represent the levels in terms of normals to a hyperboloid of one-sheet or normals to a hyperboloid of two-sheet in Minkowski space-time. The energy levels reside in the tangent space of either hyperboloids, depending on the choice of representation. The normals do not have defined directions, they really represent entire cone-like regions making quantized hyperbolic angles with the axis of either hyperboloid. The projections of the normals quantize the time-like direction in integral or optionally, half integral units of 1/α if the hyperboloid of two-sheet is chosen. It quantizes any space-like direction in integral or optionally, half integral units of 1/α if the hyperboloid of one-sheet is chosen.
Comments: 18 Pages.
[v1] 2019-12-23 09:54:40
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