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Spinnor
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Can Kaluza-Klein theory accommodate magnetic charge? If so is there a simple geometric difference between electric and magnetic charge in such a theory?
Thanks!
Thanks!
Spinnor said:Not sure what topological twisting of S^1 means?
Spinnor said:Say at the origin we have magnetic charge.
JorisL said:The following statement is fishy though
ohwilleke said:If Kaluza Klein did allow magnetic charge, that would be an argument against the theory (as no such thing is observed in Nature) rather than a point in its favor.
The Kaluza-Klein theory is an extension of Einstein's theory of general relativity that incorporates the concept of a fifth dimension. In this theory, the electromagnetic field is unified with the gravitational field, and the extra dimension allows for the existence of magnetic charge. This magnetic charge is created by the curvature of the fifth dimension and is responsible for the behavior of the magnetic field.
Yes, the Kaluza-Klein theory allows for the quantization of magnetic charge. In this theory, magnetic charge is described by the curvature of the fifth dimension, which can take on discrete values. This means that magnetic charge can only exist in certain discrete amounts, similar to the quantization of electric charge in quantum mechanics.
Currently, there is no experimental evidence for the existence of magnetic charge in the context of the Kaluza-Klein theory. However, this does not necessarily mean that the theory is incorrect. It is still an active area of research and future experiments may provide evidence for the existence of magnetic charge.
Yes, the Kaluza-Klein theory can accommodate both electric and magnetic charge. In this theory, the electromagnetic field is described by a 5-dimensional metric tensor, which includes both the electric and magnetic fields. This allows for the unification of these two forces and the existence of both electric and magnetic charges.
The Kaluza-Klein theory provides a theoretical framework for the existence of magnetic monopoles. In this theory, magnetic monopoles are described as topological defects in the fifth dimension, where the curvature of the fifth dimension is non-zero at a specific point. This allows for the existence of isolated magnetic charges, which behave similarly to isolated electric charges.