On Saturday, July 26, 2025 at 11:17:27 AM UTC-6 Alan Grayson wrote:

On Saturday, July 26, 2025 at 10:08:29 AM UTC-6 John Clark wrote:

On Sat, Jul 26, 2025 at 11:34 AM Alan Grayson <agrays...@gmail.com> wrote:

*>> If you make a measurement with a Stern–Gerlach magnet and determine 
that an electron is spin up, that is equivalent to saying the electron is 
in a superposition of spin left PLUS spin right along the orthogonal axis. 
And it would be the same for spin down except that then, instead of being a 
superposition of spin left PLUS spin right, it would be a superposition of 
spin left MINUS spin right.*


*> What orientation of the axes are you using to get that result? Please be 
explicit. AG *


*I'm not sure what you mean by that. Place a point at the center of a 
Stern–Gerlach magnet and place another point randomly at any point on the 
outside circumference, draw a line between those two points in extended in 
both directions to infinity, that is one axis, arbitrarily call one 
direction along that axis "up" and the other direction "down". Now draw 
another line 90° from the first one, that is your other axis, pick one 
direction along that axis at random and call it "left", and the other 
direction "right"    *


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


I don't follow. Isn't UP / DN along the path taken by the electrons when 
they exit the apparatus? How is  RT / LT defined? AG 


If UP/DN is along the path taken by the electrons as they exit the 
apparatus, and RT/LT is oriented 90 deg wrt to that axis, then UP or DN 
cannot be written as linear sum of RT/LT. It's like claiming the unit 
vector along the x-axis, can be written as a linear sum of unit vectors 
along the y-axis in the plane. AG 

a]6

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