Can you symmetrically put the atoms into that entangled state? You both agree on the charge of electrons (you aren’t antimatter annihilating), so you can get a pair of atoms into |↑,↑⟩, but can you get the entangled pair to point in opposite directions along the plane of the mirror?
Edit Wait, I did that wrong, didn’t I? You don’t make a spin up atom by putting it next to a particle accelerator sending electrons up. You make a spin up atom by putting it next to electrons you accelerate in circles, moving the electrons in the direction your fingers point when a (real) right thumb is pointing up. So one of you will make a spin-up atom and the other will make a spin-down atom.
Well, I was going by the original post where you’re rotationally symmetric, not mirror-symmetric. But for mirror symmetry, pick the mirror plane to be the z direction, then you just make your spins either both +z or both -z.
Can you symmetrically put the atoms into that entangled state? You both agree on the charge of electrons (you aren’t antimatter annihilating), so you can get a pair of atoms into |↑,↑⟩, but can you get the entangled pair to point in opposite directions along the plane of the mirror?
Edit Wait, I did that wrong, didn’t I? You don’t make a spin up atom by putting it next to a particle accelerator sending electrons up. You make a spin up atom by putting it next to electrons you accelerate in circles, moving the electrons in the direction your fingers point when a (real) right thumb is pointing up. So one of you will make a spin-up atom and the other will make a spin-down atom.
Well, I was going by the original post where you’re rotationally symmetric, not mirror-symmetric. But for mirror symmetry, pick the mirror plane to be the z direction, then you just make your spins either both +z or both -z.