The article is trying to bring together Uncertainty principle and Bell's inequality which are two corner stones of QM.
Bell's inequality in QM we usually use alice and bob representing position A & B in space.
Here is the technical background (http://en.wikipedia.org/wiki/Bell's_theorem)
However Sascha or David Schneider has a laymanized version which may be simpler
(
http://www.science20.com/alpha_meme/disproving_local_realism-79216)
(
http://www.drchinese.com/David/Bell_Theorem_Negative_Probabilities.htm)
(
http://www.drchinese.com/David/Bell_Theorem_Easy_Math.htm)
The experiment is very simple to do with just a polarizer and two observers who have random orientation. They will never agree on the outcome.
Mathematically you can proove the weird result is true.
If you think it isn't you are welcome to try the Quantum Randi Challenge (
http://www.science20.com/alpha_meme/official_quantum_randi_challenge-80168)
Initially Bell via QM was dealing with light but as you know we now have spins in atoms and those spins are subject to the same weird law (and we have tested it) so what it is telling you is no two observers will agree what is happening with an atom????
So welcome to the problem of reality posed by QM which comes down to this
Classically measuring A and B, C existed even if we didn't measure it. QM via Bell's inequality says C never existed if you don't measure or observe it.
The moon featured in an ironic question about the result, Einstein once asked of physicist Abraham Pais: "Do you really believe that the moon only exists when you are looking at it?"
Does anything exist if noone is observing it? See we can prove there is no local reality.
So now lets bring in uncertainty suppose Alice measures a spin or QM characteristic she is "certain" about the result the question is what does this mean to Bob?
The article is trying to combine the two concepts and keep a local reality between Alice and Bob via uncertainty .... we so thrive for our common local reality even though you can proove its not real :-)
In case you are tempted to say QM spins are not real you may want to have a look at
http://www.physorg.com/news/2011-10-sideways.htmlThats transporting electrical energy without any electrons or charge movement ... the world really is weird :-)