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Geometrizing the Quantum - A Toy Model

It is shown that the equations of relativistic Bohmian mechanics for multiple bosonic particles have a dual description in terms of a classical theory of conformally "curved" space-time. This shows that it is possible to formulate quantum mechanics as a purely classical geometrical theory. The results are further generalized to interactions with an external electromagnetic field.

preprint2010arXivOpen access
Benjamin Koch
gr-qc
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Benjamin Koch

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