The authors discuss the possibility that space has to be described as being of non-integer dimension. They elaborate on some of the problems associated with this idea and investigate the chance to observe effects due to such a fractional dimension. Two experiments show rather stringent bounds for the deviation of the space dimension from the value three. These are the perihelion shift of planetary motion and the Lamb shift in hydrogen.
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Schäfer et al. (1986) studied this question.
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