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Oskar Klein, the sixth dimension and the strength of a magnetic pole

A. Sandoval-Villalbazo·L. S. Garcia-Colin·A. L. Garcia-Perciante
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Abstract

This work extends to six dimensions the idea first proposed by Klein regarding a closed space in the context of a fifth dimension and its link to quantum theory. The main result is a formula that expresses the value of the characteristic length of the sixth dimension in terms of the strength of a magnetic monopole $g$. It is shown that in the case of Dirac's monopole, the ratio of the characteristic lengths of the fifth and sixth dimension corresponds to twice the fine structure constant $α$. Possible consequences of the idea are discussed.

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A. Sandoval-Villalbazo, L. S. Garcia-Colin, A. L. Garcia-Perciante. 2006-02-08. Oskar Klein, the sixth dimension and the strength of a magnetic pole. https://arxiv.org/abs/gr-qc/0303097

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