by Ben6993 » Sun Jun 15, 2014 7:49 am
Hi Heinera
Thanks, I was a little unsure of obs, ca, cb. And I hadn't noticed a "sapply" function before, but have now looked it up. I have a few ideas and was thinking of trying them in excel VB but I ought really to move onto R for anything requiring generation of random data. In a CHSH setup using non-CFD and non-local, one could get a perfect CHSH score of 4 by choice of (A, B) pairs of (-1, +1) and (+1, -1) as the four pairs of (a,b) angles are being treated as independents. But four perfect correlations are unreasonable among the pairs of CHSH angles. So one can aim for reasonable correlations of 0.5*sqrt 2 as you have done.
...
A CFD setup of CHSH requires links between outcomes for different pairs of angles. That loses some independence of the setup compared with non-CFD. That reduces the limit to 2 (CFD) rather 4 (non-CFD). In the non-CFD and non-local setup using realistic data, even using QM, the average value 0.5*sqrt 2 is not broken [though I feel sure Richard wil correct me here], ie CHSH of 2*sqrt 2 is not broken. The QM results are not surprising, however, as QM uses a non-CFD and non-local setup.
I feel sure that nature will beat the CHSH limit of 2 because QM beats that limit. But that is not surprising if nature uses non-CFD and non-local. But what if nature uses CFD and local? Nature cannot beat CHSH=2 in a flatland setup, but it should be able to beat "2" in a non-flatland setup.
To my mind, the zero outcomes in simulations are puzzling. As is the need to reverse the sign of two of the four correlations in a 'non-flatland' tweak of the normal flatland calculation. The four correlations surely need to be combined before dropping out of geometric algebra and into flatland arithmetic. Despite the two puzzles, I am firmly with Joy that the geometry of space is responsible for both the apparent non-CFD in QM and the apparent non-locality in QM.
To my mind, laboratory space is the spatial 3D of spacetime (x,y,z,t) but particles live in more dimensions than that. For me, flatland exists in the laboratory but particles do not live only in flatland. Joy seems to say that there is no difference between laboratory space and a particle's space, and that the one, common space is more that the spatial 3D of spacetime. And that implies that all flatland calculations are suspect. Going back to Susskind's 1967 paper, as there is a 4pi periodicity to electron rotations in the laboratory space of rotating magnets, why is that ignored in the simulations? I think that Joy does not ignore it because I can think of 0 to 2pi as being in one trivector while 2pi to 4pi is covered by the trivector of the opposite basis? No doubt not an exact analogy.
An experimental detail ... does Bob ever know if he is measuring an electron or a positron?
Hi Heinera
Thanks, I was a little unsure of obs, ca, cb. And I hadn't noticed a "sapply" function before, but have now looked it up. I have a few ideas and was thinking of trying them in excel VB but I ought really to move onto R for anything requiring generation of random data. In a CHSH setup using non-CFD and non-local, one could get a perfect CHSH score of 4 by choice of (A, B) pairs of (-1, +1) and (+1, -1) as the four pairs of (a,b) angles are being treated as independents. But four perfect correlations are unreasonable among the pairs of CHSH angles. So one can aim for reasonable correlations of 0.5*sqrt 2 as you have done.
...
A CFD setup of CHSH requires links between outcomes for different pairs of angles. That loses some independence of the setup compared with non-CFD. That reduces the limit to 2 (CFD) rather 4 (non-CFD). In the non-CFD and non-local setup using realistic data, even using QM, the average value 0.5*sqrt 2 is not broken [though I feel sure Richard wil correct me here], ie CHSH of 2*sqrt 2 is not broken. The QM results are not surprising, however, as QM uses a non-CFD and non-local setup.
I feel sure that nature will beat the CHSH limit of 2 because QM beats that limit. But that is not surprising if nature uses non-CFD and non-local. But what if nature uses CFD and local? Nature cannot beat CHSH=2 in a flatland setup, but it should be able to beat "2" in a non-flatland setup.
To my mind, the zero outcomes in simulations are puzzling. As is the need to reverse the sign of two of the four correlations in a 'non-flatland' tweak of the normal flatland calculation. The four correlations surely need to be combined before dropping out of geometric algebra and into flatland arithmetic. Despite the two puzzles, I am firmly with Joy that the geometry of space is responsible for both the apparent non-CFD in QM and the apparent non-locality in QM.
To my mind, laboratory space is the spatial 3D of spacetime (x,y,z,t) but particles live in more dimensions than that. For me, flatland exists in the laboratory but particles do not live only in flatland. Joy seems to say that there is no difference between laboratory space and a particle's space, and that the one, common space is more that the spatial 3D of spacetime. And that implies that all flatland calculations are suspect. Going back to Susskind's 1967 paper, as there is a 4pi periodicity to electron rotations in the laboratory space of rotating magnets, why is that ignored in the simulations? I think that Joy does not ignore it because I can think of 0 to 2pi as being in one trivector while 2pi to 4pi is covered by the trivector of the opposite basis? No doubt not an exact analogy.
An experimental detail ... does Bob ever know if he is measuring an electron or a positron?