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http://arxiv.org/abs/physics/0411085
A Sketch for a Quantum Theory of Gravitity
Authors: J. G. Gilson
Comments: 7 pages 1 figure
Subj-class: General Physics
The numerical quantum electronic structure for the energies of the states of the hydrogen like atoms as given by Sommerfeld in 1915-16 is studied and 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 extremely different numerical scale of gravitation theory. This unexpected analogy becomes possible when it is recognised 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. The introduction section brings together the essentials for the understanding of the electromagnetic side of this analogy and contains a condensation of some earlier work. The second section, Gravitation Analogy, develops a theory for gravitation which closely follows the quantum form to give an exact analogy to the Sommerfeld quantum theory of hydrogen atomic states.
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