Sommerfeld?s numerical quantum-electronic structure for the energies of the states of the hydrogen-like atoms is shown to present a scheme that is able to express a unique observer point of view. The perspective of this observer is essentially how he, if fixed on a trapped electron, would see his and his electron's state of containment within the full atomic quantum state. This particular internal view of a quantum state is then shown to have strong analytic powers in the numerically very different scale of gravitation theory. This unexpected analogy becomes possible when it is recognized that a basic part of gravitation theory can be expressed in terms completely analogous to the quantum relativistic electromagnetic structure involved in Sommerfeld's formula for quantum-state energy.
