The fine-structure constant, magnetic monopoles and dirac charge quantization condition
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The Dirac quantization condition imposes some very peculiar and stringent constraints on the nature of monopoles. One of the most interesting results is that such a particle has a classical radius larger than its quantum (Compton) or « atomic » (Bohr) radius. No other elementary particle shows this property. This indicates that the monopoles are inherently relativistic. Atom like stable bound states of oppositely charged monopoles are unphysical and a pair of primordial monopoles are prone to annihilation, which may explain the so-called monopole paradox. Conversely, if the value of the Sommerfeld fine-structure constant were greater than unity, then « magnetic-monopole atoms » would have been stable and « electric atoms » unstable. It appears that in a physical universe for a given value of the fine-structure constant only one kind of sources or charges (either electric or magnetic) are permissible. This is a quite general requirement imposed by the laws of electrodynamics, quantum mechanics and relativity acting simultaneously in conjunction to each other.
PACS03.65 Quantum theory quantum mechanics
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