The origin of structure in the universe is one of the greatest cosmological mysteries even today. Extended topological objects such as monopoles, strings and domain walls may play a fundamental role in the formation of our universe. Phase transitions in the early universe can give rise to these topological defects. A topological defect is a discontinuity in the vacuum and can be classified according to the topology of the vacuum manifold. Monopoles are point like topological defects and are formed where M contains surfaces which cannot be continuously shrunk to a pointy i.e. when π2 (M) ≠ I. ( M is the vacuum manifold ) [1] one of most important works about Abelian gauge theories was due to the P. M. Dirac many years ago, who proposed a new solution to the Maxwell equations. His new solution for the vector potential corresponds to a point-like magnetic monopole with a singularity string running from the particle’s position to infinity [2]
[1] F. Rahaman, S.Mal and P. Ghosh; A study of global monopole in Lyra geometry
[2] A. L. Cavalcanti de Oliveira ∗ and E. R. Bezerra de Mello; Kaluza-Klein Magnetic Monopole in Five-Dimensional Global Monopole Spacetime
Hello Louis,
I am going to give an answer that does not directly address your question. However, it does address the question of whether it is possible to obtain a more fundamental understanding of electric fields and magnetic fields. Terms such as a “charged particle” or a “magnetic monopole” are commonly used in physics, but there is never an attempt to physically explain these concepts in terms of a quantifiable distortion of something more fundamental. I have written a scientific article that has been accepted for publication in the Springer book series titled “Progress in Theoretical Chemistry and Physics” (December 2014). Here is a link to a preprint of the article: http://onlyspacetime.com/QM-Foundation.pdf
The section of this article that deals with charged particles and electric fields starts on page 13. This article makes quantifiable predictions about the effect of charge and electric fields on spacetime. Space limitations on the article prevented me from extending these concepts to magnetic fields, but the extension is possible. The article contains a proposed “charge conversion constant” that converts units of charge (Coulomb) into a distortion of spacetime. For example, magnetic permeability or magnetic field strength can be converted to a quantifiable distortion of spacetime using this proposed constant. Experiments are theoretically possible but the effect is small and would be difficult to measure with current technology. However, the proposal is supported because there is also a prediction of an implied limit. This limiting condition occurs when spacetime would be 100% strained for a set of conditions. A calculation shows that this limit corresponds to the conditions which would make a black hole.
John Macken
John, I tried to look at the preprint but all the links seem to be down?
Hi Chris,
The website was down for one day, but it is up now. Another alternative if to Google John A Macken, then download the technical paper
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