There seems to be an ambiguity in "one and only one state".  In the experiment there is a single Hilbert space vector describing a neutron which travels both paths.  So does "one and only one state" really mean one and only one /classical/ state?

Brent


On 12/18/2024 11:45 AM, John Clark wrote:
Incidentally, if we're interested in reality, wondering if an object was in one and only one state before it was measured, then we should really be talking about the Leggett-Garg Inequality not Bell because it's a generalization of Bell's Inequality that was specifically designed to test reality. Very recently experimenters have found that like Bell Leggett-Garg is also violated. I wrote about that back in July and I repeat it now:
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Reality says that a macroscopic object exists in one and only one state regardless of if it has been observed or not.**In 1985 Anthony Leggett and Anupam Garg published an inequality that MUST be less than or equal to 1 if reality was true. It's similar to Bell's Inequality but Bell was about the relationship between two entangled particles, but Leggett-Garg is about if a microscopic object can be in more than one state at the same instant in time.*
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*In the June 24, 2024 issue of the journal Physical Review Letters, physicists tested the Leggett-Garg Inequality in an experiment with neutron beams, and they got a value of 1.20 +- 0.007. That is larger than 1. The Leggett-Garg inequality is violated. Reality is untrue.*
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*Violation of a Leggett-Garg Inequality Using Ideal Negative Measurements in Neutron Interferometry* <https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.260201>

*In their experiment they generated an intense neutron beam and then, using a perfect silicon crystal, they split it into two beams several centimeters apart. Then, using another crystal, the two beams are re-combine back in the one beam and then hit the detector. Each beam is made up of many millions of neutrons and thus is huge by quantum standards, and there are two ways the neutrons can travel from the source to the detector. *
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*The lead researcher says "_The idea that maybe the neutron is only traveling on one of the two paths, we just don’t know which one” has thus been refuted_." Mathematically there is simply no way the behavior of those neutrons can be explained by any conceivable macroscopically realistic theory.*
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*Incidentally, Many Worlds is _NOT_ a realistic theory.*
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***John K Clark    See what's on my new list at Extropolis <https://groups.google.com/g/extropolis>*
trn
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