Electron spin, why do the pairs have to be opposite?

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This discussion centers on the phenomenon of electron spin in entangled particles, specifically addressing the requirement for opposite spins in entanglement experiments. When two electrons are entangled, measuring the spin of one electron instantaneously determines the spin of the other, regardless of distance, due to the conservation of angular momentum. The initial state of the electrons is designed to have a total angular momentum of zero, ensuring that if one electron is measured to have an upward spin, the other must have a downward spin. However, it is clarified that electrons do not necessarily need to have opposite spins in all contexts.

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Sephiroth2088
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In the experiment where there are two electrons, and one is shot out to a person, the experiment depends on the two having opposite spins, one up one down, though which has which is not determined until observation.

So person 1 looks at theirs and sees it's an upward spin. This collapses person 2s to downward imediantly. So even if the other person was 2 billion lightyears away at that time, it would still effect instantly. This experiment makes sense, aside from one thing.

How do they know that one is up spin, and one is down spin to begin with?

I think I may have learned in chemistry that on the same valance level, electrons must have opposite spins or something, is that it or am I completely off?
 
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Sephiroth2088 said:
In the experiment where there are two electrons, and one is shot out to a person, the experiment depends on the two having opposite spins, one up one down, though which has which is not determined until observation.

So person 1 looks at theirs and sees it's an upward spin. This collapses person 2s to downward imediantly. So even if the other person was 2 billion lightyears away at that time, it would still effect instantly. This experiment makes sense, aside from one thing.

How do they know that one is up spin, and one is down spin to begin with?

I think I may have learned in chemistry that on the same valance level, electrons must have opposite spins or something, is that it or am I completely off?

No they do not need, in general, to have opposite spins.

You are describing an entanglement experiment. Although there seems to
be an element of randomness in the "collapse of the wavefunction", it is
not that random. The conservation laws must be all obeyed and in this
case it's the conservation of spin.

Another experiment would be where both particles have the same spin, but
of unknown direction. So if one is up the other must be up as well, and visa
versa, if one is down the other must be down as well.


Regards, Hans
 
Sephiroth2088 said:
How do they know that one is up spin, and one is down spin to begin with?

Because the experimental setup is constructed specifically so that the initial state that produces the two electrons (or whatever kind of particle is being used) has a total angular momentum of zero. Therefore, by conservation of total angular momentum, the sum of the particles' angular momenta must also be zero.
 
jtbell said:
Therefore, by conservation of total angular momentum, the sum of the particles' angular momenta must also be zero.
But still, just to be picky, this does not necessarily imply that the total spin of the two electron system is zero.
 

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