Magnetic monopoles
Divergence is a vector operator that tells you the amount of vector field net flux coming in or out a given point. Maxwell laws describe the behavior of electromagnetic waves. When you're told that the divergence of magnetic field is zero(One of Maxwell's laws, the first one in the picture below), that implies that you cannot find in space a magnetic monopole, that is, a source of just one polarity magnetic field. When I was studying at the University, someone wrote on the blackboard:
"The good God said:
.... and then light was made" . . .
It had a lot of sense, for those laws were believed to hold true according to experience and according to the electromagnetic theory. However, in 1931, Dirac had already devised magnetic monopoles could exist. Moreover, he had already given a different form to equations 1 and 3 in the presence of magnetic monopoles, and it is exactly the same as their electric field counterparts( equations 1 and 3, but with electric field instead of magnetic field ).
These new equations are very good to the eye for their symmetry. According with nowadays evidence, Dirac was right. Apparently God had a lot more in his mind, and nature has a lot of surprises waiting to be found.
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