On Fri, Jul 25, 2025 at 6:23 AM Alan Grayson <agrayson2...@gmail.com> wrote:

*> Can you write the spin state UP as a superposition of LEFT and RIGHT
> states, *


*Yes.*

*> and explain the physical reason that is possible?*



*If we're working with spin-1/2 particles like an electron then the UP and
DOWN states form one complete basis, while LEFT and RIGHT states form
another complete basis. Since both are bases for the same two-dimensional
Hilbert space, any state in one basis can be expressed as a linear
combination of states in the other basis. But if you've not actually made a
UP vs Down measurement then the particle is still in a superposition of UP
and DOWN, and if you then make a measurement of Left vs Right then there's
no way to ever know if the particle was ever originally UP or DOWN. That is
very weird but that's the way nature behaves. *

*John K Clark    See what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>*

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