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How to make a monopole magnet? - Physics Stack Exchange "Synthesis of the monopole is the starting point for many new breakthroughs in quantum physics research In the future, we want to get even a more complete correspondence with the natural magnetic monopole," he continues A magnetic monopole is a particle just like an electron, but with a magnetic rather than an electric charge
What do we mean with magnetic monopole and dipole? The magnetic monopole behaves just like electric charge and the formulae are identical The derivations for magnetic dipoles are identical to derivations for the electric dipoles so you should end up with the same formulae A circulating electric current behaves like a magnetic dipole
electromagnetism - The magnetic field of a magnetic monopole - Physics . . . By definition, the divergence of a vector field shows the strength (magnitude) of a sink source The sink source in this case would be the magnetic monopole, as we are dealing with the magnetic field Your proof fails at r = 0 Instead use →∇ ⋅ →r r3 = 4πδ3(→r) A proof can be found in Jackson, amonst a bunch of other places
Why do physicists believe that there exist magnetic monopoles? It implies that there exist magnetically charged monopole states - light black holes - that are as heavy as the Planck scale (the lightest black holes worth the name) But they can be lighter In grand unified theories (GUT), one may write down completely regular, smooth solutions that put the old singular solution by Dirac for the "Dirac
Difference between monopole moment and charge or mass itself? The monopole moment is the total quantity of whatever it is you're considering For example, if you're looking at a 3-dimensional multipole expansion of the mass of the earth, the monopole moment would be the total mass That doesn't have anything to do with treating the earth like a sphere
Do we have a quantum field theory of monopoles? A two monopole solution will have apart of its geometric coordinates an and charge another compact manifold giving it more internal dynamics This part is called the Atiyah-Hitchin manifold after Atiyah and Hitchin who were the first to investigate the monopole moduli spaces and compute many of their characteristics:
homework and exercises - Magnetic monopole and vector potential . . . 4 The magnetic flux through any closed surface enclosing the origin is just g (the magnetic charge enclosed) If the magnetic field comes from a vector potential B = ∇ ×A , this surface integral by Stokes' theorem is an integral of A around the boundary of the surface But the surface is closed, so has no boundary, so the answer must vanish
Vector potential field for a hypothetical magnetic monopole Describing a magnetic monopole is a problem in Classical Electromagnetism: essentially, if you have a magnetic monopole, then $\nabla \cdot \mathbf{B} \neq 0$, meaning that we can no longer define a vector potential $\mathbf{A}$, since -- if you remember -- it was precisely the fact that the divergence of $\mathbf{B}$ was always zero in Maxwell's Equations that allowed us to write $\mathbf{B
How does Inflation solve the Magnetic Monopole problem? Monopoles are still created in inflationary models They're just created before (or during) inflation, so that the rapid expansion thereafter dilutes their density to unobservably low levels At the time when the monopoles are created, they're created at a density of order 1 per Hubble volume -- that is, there's one in each "observable Universe
Does magnetic monopole violate $U(1)$ gauge symmetry? No, a magnetic monopole a la the Dirac string does not "violate" gauge symmetry Rather, the statement "we have a magnetic monopole" means only that we are forced to consider the gauge theory not on the whole spacetime, but on the spacetime with the location of the magnetic monopole removed