What property of a magnet determines which side of it is N or S?

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The property that determines which side of a magnet is North or South is its internal alignment of tiny magnetic domains. When a magnet is cut, it does not create a single-pole magnet because each half retains both a North and South pole due to the alignment of these domains. The inability to isolate a magnetic monopole means that every magnet will always have two poles. The discussion humorously suggests that discovering a monopole would lead to significant power, but also hints at commercial interests. Understanding these properties is crucial for grasping the fundamentals of magnetism.
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What property of the magnet determines which side of it is North and which side is South?

I know that we are unable to separate the poles of a magnet (ie cut a magnet in halves and we get two magnets). How come?
 
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A magnet bar consists of numerous tiny magnets (perhalf molecular scale), so you can not separate it into 2 one-pole magnets.
The poles of a magnet allign with the poles of all the tiny magnets.
 
Let's just say that if you ever manage to isolate a magnetic monopole, you will own the planet... until Disney buys you out.
 
Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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