Does macroscopic magnetic monopole contradict physics?

AI Thread Summary
The discussion explores the concept of macroscopic magnetic monopoles, referencing Dirac's support for microscopic monopoles through quantum theory. It highlights the absence of fundamental magnetic charges in nature as a puzzling phenomenon. The conversation introduces "spin ice," a material exhibiting collective excitations that mimic magnetic monopoles. Questions arise regarding whether these quasiparticles generate magnetic fields and if moving "spin ice" could produce electromagnetic radiation. The topic raises intriguing implications for condensed matter physics and the nature of magnetic charges.
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I know Dirac had said yes to existence of microscopic monopole by quantum theory, so why not the macroscopic monopole?
 
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Indeed, there's no principle against the existence of magnetic monopoles. In this sense it's a mystery, why there are no elementary magnetic charges in nature.

However, not long ago, one has found a funny material, which behaves like a socalled "spin ice". In this substance one has found collective excitations (quasiparticles) which behaves like magnetic monopoles. There are a lot of such examples in condensed matter physics!
 
OK, since the quasiparticle behaves like monopole, dose it produce magnetic field? Does moving "spin ice" produce EMR?
 

Thread 'How to picture the vector potential?'

Susskind (in The Theoretical Minimum, volume 1, pages 203-205) writes the Lagrangian for the magnetic field as ##L=\frac m 2(\dot x^2+\dot y^2 + \dot z^2)+ \frac e c (\dot x A_x +\dot y A_y +\dot z A_z)## and then calculates ##\dot p_x =ma_x + \frac e c \frac d {dt} A_x=ma_x + \frac e c(\frac {\partial A_x} {\partial x}\dot x + \frac {\partial A_x} {\partial y}\dot y + \frac {\partial A_x} {\partial z}\dot z)##. I have problems with the last step. I might have written ##\frac {dA_x} {dt}...
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Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. In the page 196, in the first paragraph, the author argues as follows ...
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