Atomic Physics and the Dimensionality of Space
The extremely high precision reached in QED experiments provides stringent bounds for any change in the standard framework of low energy physics (i.e. for energies close to the electron mass). In his contribution J. Reinhardt discusses e.g. such bounds for the coupling to a new light particle. In this lecture I want to discuss a rather different possibility, namely to derive from the Lamb-shift a bound for the deviation of the spatial dimension from the integer value three. Before doing so it is obviously necessary to discuss the concept of fractal dimensions and to explain their possible origin.
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