[BryanS]

Particles are NOT entangled at a distance.  That is another example of non-locality.  Non-locality is nonsense.  No one understands it and it defies logical explanation.  How can it work?

Pretty much all the comments are within the standard explanation.  First if something does not make sense, and the answers you get use words like spooky or weird, simply then that simply tells you that no one understands what is going on.

So trust your gut feeling. 

Entanglement is a property of quantum mechanics but not of Nature.  Schrodinger used it first in 1936. 

When formally entangled particles separate they are no longer entangled but form a product state.  I have a simulation that shows that a product state violated Bell's inequalities.  Look at my blog 
link removed

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[yor_on]

Oh, I think it might work just perfectly
You just need to question what both relativity and QM question.

Distance and motion.

It's funny how we find it so hard to see that both theories question it.

[Pincho (OP)]

Action at a distance is important to understand, because whatever it is has physics that change technology. It can be something simple like an Aether, but at least we now have some physics to work with.