Sci.Physics.Foundations

Here are the files for the 7-sphere simulation no hidden variables. Large files. https://sciphysicsfoundations.com/sims/joyGA_7-sphere4Pabcd-noHV.pdf https://sciphysicsfoundations.com/sims/joyGA_7-sphere4Pabcd-noHV.nb I'm using the "y" component of the singlet spin vectors to toggle the or...

. Looks fine to me. Feel free to update the Mathematica Notebook archive if the link or DOI is not changed by updating. Yes, "rooted in 3-sphere topology" is more accurate than "rooted in geometric algebra." GA is just a convenient tool. Actually to be more correct, all quantum ...

. Looks fine to me. Feel free to update the Mathematica Notebook archive if the link or DOI is not changed by updating. Yes, "rooted in 3-sphere topology" is more accurate than "rooted in geometric algebra." GA is just a convenient tool. Actually to be more correct, all quantum ...

Just came across these linked articles of respectively May and April this year https://www.eurekalert.org/news-releases/952396 https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.4.023075 (open access) The novelty as explained at end of abstract there is '...the recently introduced...

. Looks fine to me. Feel free to update the Mathematica Notebook archive if the link or DOI is not changed by updating. Yes, "rooted in 3-sphere topology" is more accurate than "rooted in geometric algebra." GA is just a convenient tool. Thanks. Well actually, do you want the DO...

I did some improvements to the Notebook Archive file. I got rid of the Qcoordinates thing and put in the limits on the A and B functions. If it looks OK, I will try to update the Mathematica Notebook Archive. https://sciphysicsfoundations.com/sims/joy_archive1.png https://sciphysicsfoundations.com/s...

. This paper is now on the arXiv: https://doi.org/10.48550/arXiv.2205.11372. In it, I review the past 15 years of my work, spelling out local, realistic, and deterministic foundations of quantum correlations, without resorting to superdeterminism, retrocausality, or any other conspiracy loophole. T...

Here is the same thing but using the Quaternion Package that is built into Mathematica. It is faster than using the Clifford package. Note that I got rid of the silly "Qcoordinates" thing John Reed had devised. Conversion to quaternions is done more correctly now. https://sciphysicsfoundat...

The new reverse order scenario works for the local QM prediction simulation also. https://sciphysicsfoundations.com/sims/qm-local7.png https://sciphysicsfoundations.com/sims/qm-local8.png https://sciphysicsfoundations.com/sims/qm-local9.png Still no hidden variable! Yep, Bell's junk physics theory i...

Here is an alternative simple GA simulation. I realized last night that we don't really know if particle 1 goes to A or B. Likewise for particle 2 so, I have switched the spin representation in the reverse order to show that it doesn't matter. And this simulation is using the direction of the "...

Joy, you define your measurement outcomes in (13) and (19). This involves limits: limits as s _1 converges to mu_1 a , and as s _2 converges to mu_2 b . But mu_1 and mu_2 are not fixed, in fact they are defined in terms of s _1 and s _2, see (11): mu_1 = sign( a . s _1) and mu_2 = sign( s _2 . b ) ...

This also works with Ls1_k_4 > 0 which is the "z" component of the singlet spin vector. I think I will be using that. IOW, the left or right handedness of the product is randomly determined by the orientation of the singlet vector instead of independently by lambda = +/-1. Let's say that t...

However, it seems a bit strange to have AB and BA happening at the same time. Are we mixing the right handed view with the left handed view? I have to say that the r_0 method of cross product cancelation is superior though more complicated. AB = 1/2 { AB + BA } is a mathematical identity for scalar...

Using quaternions and 2D vectors, Mathematica does the cross product cancelation exact. https://sciphysicsfoundations.com/sims/symmetric5.png However, it seems a bit strange to have AB and BA happening at the same time. Are we mixing the right handed view with the left handed view? I have to say tha...

I will just post the correction and result. https://sciphysicsfoundations.com/sims/symmetric3.png But it looks like we have some rounding error in the calculation so if we post one event we can see the exact cancelation of the cross products. https://sciphysicsfoundations.com/sims/symmetric4.png Ano...

The simulation is short enough so we can just post it as a picture. https://sciphysicsfoundations.com/sims/symmetric1.png https://sciphysicsfoundations.com/sims/symmetric2.png Oops! I made a mistake. The cross product cancelation is exact. I'll post a correction tomorrow. GeometricProduct[ag, bg] s...

The simulation is short enough so we can just post it as a picture.



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Here is a simple version of the simulation for verification of eqs. (49) to (57). https://sciphysicsfoundations.com/sims/S3_GA_forum.pdf https://sciphysicsfoundations.com/sims/S3_GA_forum.nb Brilliant! Thanks! You're welcome. I forgot to mention that the simulation is using the particle physics ver...

Here is a simple version of the simulation for verification of eqs. (49) to (57).

sims/S3_GA_forum.pdf
sims/S3_GA_forum.nb
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... (4) I do not use the rotation axis r_0, or show that it vanishes in the measurement limits (most likely this point is of interest to Fred Diether). ... Well, I do like the r_0 method since the limits actually get taken instead of just dropping out. But there is nothing wrong with the limits dro...