2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99690This 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.4 pages. Typos correctedGeneral Relativity and Quantum Cosmologytext