arXiv subjects

A. L. Garcia-Perciante

Publications and source records attributed to A. L. Garcia-Perciante.

38 records · Page 3Linked to original sources

arXiv2006

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

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.

gr-qc↗

arXiv2006

Hyperbolic heat equation in Kaluza's magnetohydrodynamics

This paper shows that a hyperbolic equation for heat conduction can be obtained directly using the tenets of linear irreversible thermodynamics in the context of the five dimensional space-time metric originally proposed by T. Kaluza back in 1922. The associated speed of propagation is slightly lower than the speed of light by a factor inversely proportional to the specific charge of the fluid element. Moreover, consistency with the second law of thermodynamics is achieved. Possible implications in the context of physics of clusters of galaxies of this result are briefly discussed.

gr-qc↗