On Friday, June 14, 2019 at 5:02:51 PM UTC-5, John Clark wrote: > > On Thu, Jun 13, 2019 at 10:18 PM Bruce Kellett <[email protected] > <javascript:>> wrote: > > On Fri, Jun 14, 2019 at 11:32 AM Lawrence Crowell < >>> [email protected] <javascript:>> wrote: >> >> >>> >> The dependency of the initial and final states means the >>> probabilities are classical and will obey the Bell inequality. This is a >>> pretty iron clad result and I am not sure why some people persist in >>> thinking they can get around it. >>> >> >> *> That would be a useful result because it would put these retrocausal >> models to rest permanently. But how do you prove this?* >> > > You prove it the same way physicists prove anything, by performing an > experiment. It makes no difference if Quantum Mechanics is someday > superseded by a better theory, if probabilities are classical it would be > logically impossible to ever violate Bell's inequality even in theory, but > in actuality it is quite easy to do so, you do it every time you put on > polarizing sunglasses. > > >> *> The retrocausal argument takes the form given by Price in 1996 >> ('Time's Arrow and Archimedes' Point, p.246-7). Price notes that all that >> you need is that the production of the particle pairs is governed by the >> following constraint: "In those directions G and H (if any) in which the >> spins are going to be measured, the probability that the particles have >> opposite spin is cos^2(alpha/2), where alpha is the angle between G and H." >> Price notes that such a condition explicitly violates Bell's independence >> assumption.My problem with this has been that such a condition does not >> specify any plausible dynamics that could operate in this way.* > > > Since 1809 we've know from experiment that Malus's law always works, that > is to say the amount of light polarized at 0 degrees that will make it > through a polarizing filter set at X degrees is [COS (x)]^2. For example > if x = 30 DEGREES then the value is .75; if light is made of photons that > translates to the probability any individual photon will make it through > the filter is 75%. However if *ANY* local hidden variable theory is true > Bell proved that the probability must be less than or equal to 66.666%. But > 3/4 is greater than 2/3, so Bell's inequality is violated. So local hidden > variables are as dead as a doornail. > > John K Clark >
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