From: *Bruno Marchal* <[email protected] <mailto:[email protected]>>
On 19 Aug 2018, at 13:36, Bruce Kellett <[email protected]
<mailto:[email protected]>> wrote
Choose a base, then you can express a superposition. That is all
there is to it. Only one superposition for the chosen (typical) basis.
OK. But if it is not a preferred base, then how do you interpret the
superposition in the singlet state, without giving some special role
to some base?
I do not give any special role to a particular basis. Alice does that by
choosing the orientation for her magnet. The interaction of that magnet
with the state breaks the symmetry and gives a special role to the basis
along which the magnetic field is aligned. This is a consequence of the
interaction Hamiltonian between the magnet and the spinor: the
inhomogeneous magnetic field couples to the intrinsic magnetic moment of
the spin-half particle, so the particle moves in the direction of the
field -- either up or down from its forward trajectory. Read my recent
re-post of a discussion of this symmetry breaking interaction.
Bruce
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