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QM Local Prediction Simulation

Posted: Thu Feb 17, 2022 3:38 am
by FrediFizzx
Inspired by Joy's updated 3-Sphere model, here is proof that quantum mechanics itself can give the -a.b prediction in a completely local way. If you add the spinorial sign change corrections to the A and B outcomes, then you will have a 100 percent realistic model for QM. Since the cross products, r1 and r2, cancel automatically in the matrix calculations, they had to be added back in manually. 20,000 trials.

Image
Blue is the correlation data, magenta is the -cosine curve for an exact match.

Cloud File.

https://www.wolframcloud.com/obj/fredif ... _forum3.nb

Direct Files.

sims/QMprod_calc_forum3.pdf
sims/QMprod_calc_forum3.nb

Enjoy!
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Re: QM Local Prediction Simulation

Posted: Tue Mar 08, 2022 8:05 am
by FrediFizzx
FrediFizzx wrote: Thu Feb 17, 2022 3:38 am Inspired by Joy's updated 3-Sphere model, here is proof that quantum mechanics itself can give the -a.b prediction in a completely local way. If you add the spinorial sign change corrections to the A and B outcomes, then you will have a 100 percent realistic model for QM. Since the cross products, r1 and r2, cancel automatically in the matrix calculations, they had to be added back in manually. 20,000 trials.

Image
Blue is the correlation data, magenta is the -cosine curve for an exact match.

Cloud File.

https://www.wolframcloud.com/obj/fredif ... _forum3.nb

Direct Files.

sims/QMprod_calc_forum3.pdf
sims/QMprod_calc_forum3.nb

Enjoy!
What I posted here is the short-cut version. This actually only works if you invoke S^3 topology and use quaternions along with the Pauli Matrices. The Pauli matrix calculations just give you the cosine but there is still a cross product between the particle vector and detection polarizer angle. So, that means you have a scalar plus a vector for A and B. I'll post an updated version soon.
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Re: QM Local Prediction Simulation

Posted: Wed Mar 09, 2022 10:32 am
by FrediFizzx
Here are the LOCAL quantum mechanical analytical measurement functions for A and B.

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And we can see in the second step of the functions we have quaternions that are defined in the first step. So, the product calculation prediction proceeds exactly like in Joy's updated 3-Sphere model except for s1 = -s2. Thus we have proof that the quantum mechanical prediction of -a.b has a local solution. Finally!!!
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Re: QM Local Prediction Simulation

Posted: Thu Mar 10, 2022 12:00 am
by gill1109
Taking limits as the dummy variable s1 converges to the limit sign(a.s1)a while s2 converges to the limit sign(b.s2)b and moreover s1 = -s2 is non-sense. Or more accurately, it is not a legal operation in calculus. It's not defined in mathematics. It is meaningless.

Anyway, whether it is a local solution or not depends on what you mean by local. And what you mean by solution. You are talking in a private language.

Re: QM Local Prediction Simulation

Posted: Thu Mar 10, 2022 4:09 am
by FrediFizzx
gill1109 wrote: Thu Mar 10, 2022 12:00 am Taking limits as the dummy variable s1 converges to the limit sign(a.s1)a while s2 converges to the limit sign(b.s2)b and moreover s1 = -s2 is non-sense. Or more accurately, it is not a legal operation in calculus. It's not defined in mathematics. It is meaningless.

Anyway, whether it is a local solution or not depends on what you mean by local. And what you mean by solution. You are talking in a private language.
Ignorance is curable; stupid is forever. And..., you keep reminding us of that. So, thanks for that. As usual, you are talking complete nonsense. Not sure why I didn't just delete your post full of utter junk. Ah..., it is so other people can see how ridiculous you are. :lol:

Code: Select all

In[94]:= r0 = Limit[(b1[[1]].s2[[1]]) Cross[a, s3], s3 -> a];
r0
Out[95]= {0., 0., 0.}
Paper is forthcoming.
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Re: QM Local Prediction Simulation

Posted: Fri Mar 11, 2022 6:27 am
by FrediFizzx
Here is the complete simulation for the validation of the local QM product calculation prediction.

Image
Image

And the notebook file for those that might be interested.

sims/Local-QMprod_calc_forum.nb
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Re: QM Local Prediction Simulation

Posted: Fri Mar 11, 2022 7:38 am
by FrediFizzx
FrediFizzx wrote: Fri Mar 11, 2022 6:27 am Here is the complete simulation for the validation of the local QM product calculation prediction.

Image
Image

And the notebook file for those that might be interested.

sims/Local-QMprod_calc_forum.nb
Now, you could take the singlet vector, "s", to be the hidden variable but QM knows about it so not very hidden. What actually completes QM in this scenario is S^3 topology. It is the hidden "variable".
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Re: QM Local Prediction Simulation

Posted: Fri Mar 11, 2022 1:42 pm
by FrediFizzx
I messed up a little bit. Sigma s1 and sigma s2 should be up in the first Do-loop instead of in the A and B Do-loops but it works the same either way.
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Re: QM Local Prediction Simulation

Posted: Sat Mar 12, 2022 4:59 am
by FrediFizzx
Gill, your nonsense post about limits was deleted. I think we have enough of your stupidity about that on display already.

So, we found out from this local exercise that quantum mechanics is completed by S^3 topology. There doesn't appear to be some kind of single hidden variable that does the trick. That explains a lot.
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Re: QM Local Prediction Simulation

Posted: Sat Mar 12, 2022 2:08 pm
by FrediFizzx
Here is a PDF draft of the paper "Local Quantum Mechanical Prediction of the Singlet State" for the simulation.

sims/Local_QM_Prediction_for_EPR_Bohm_Draft.pdf

No-nonsense comments and questions welcomed.
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Re: QM Local Prediction Simulation

Posted: Sun Mar 13, 2022 10:24 am
by FrediFizzx
FrediFizzx wrote: Sat Mar 12, 2022 2:08 pm Here is a PDF draft of the paper "Local Quantum Mechanical Prediction of the Singlet State" for the simulation.

sims/Local_QM_Prediction_for_EPR_Bohm_Draft.pdf

No-nonsense comments and questions welcomed.
So, Nature is local for the EPR-Bohm scenario even using QM completed by 3-Sphere topology. Bell should have checked that before spewing his junk physics theory. The Bell fanatics are finished for sure now! :mrgreen: :mrgreen: :mrgreen:
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Re: QM Local Prediction Simulation

Posted: Tue Mar 15, 2022 12:21 pm
by FrediFizzx
Wow! I discovered this morning that the Clifford algebra package for Mathematica can do quaternions also. So, now we can do quaternions and geometric algebra mixed in the same simulation! I'm stoked! :D

Image
Image

Now, Lr0 is in the simulation. Fantastic!

Notebook File.

sims/Local-QMprod_calc_test5.nb
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Re: QM Local Prediction Simulation

Posted: Thu Mar 24, 2022 8:28 am
by FrediFizzx
Updated paper proving that QM is local for the EPR-Bohm scenario.

sims/QM_is_local_for_EPR_Bohm_3_24.pdf
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Re: QM Local Prediction Simulation

Posted: Fri Mar 25, 2022 6:37 am
by gill1109
Congratulations, Fred! I hope you will keep us posted on publication or pre-publication progress.

Re: QM Local Prediction Simulation

Posted: Fri Mar 25, 2022 7:11 am
by FrediFizzx
gill1109 wrote: Fri Mar 25, 2022 6:37 am Congratulations, Fred! I hope you will keep us posted on publication or pre-publication progress.
I'm not going to bother publishing it other than on the forum and preprint servers because journals rarely publish papers by independent researchers. It can be peer-reviewed right here on the forum. So, if you have any no-nonsense comments or questions, go for it or even write a comment paper if you wish. This is the SPF journal. :D But a lot of the credit goes to Joy's updated 3-Sphere model.
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Re: QM Local Prediction Simulation

Posted: Fri Mar 25, 2022 11:16 pm
by gill1109
OK! Well, you’ve had my comments before. Mathematica’s algorithm for computing a limit is the wrong algorithm for this application. It uses the discrete topology instead of the usual topology on R^3, because it is based primarily on doing formal formula manipulations, not on doing numerical computations.

This means it actually reproduces typical schoolboy errors in some cases!

Re: QM Local Prediction Simulation

Posted: Sat Mar 26, 2022 6:00 am
by FrediFizzx
gill1109 wrote: Fri Mar 25, 2022 11:16 pm OK! Well, you’ve had my comments before. Mathematica’s algorithm for computing a limit is the wrong algorithm for this application. It uses the discrete topology instead of the usual topology on R^3, because it is based primarily on doing formal formula manipulations, not on doing numerical computations.
You're a freakin' stupid idiot or just plain very dishonest. Even my MathCad program also knows how to do a limit replacement function so it has nothing to do with Mathematica. And has everything to do with your defective brain. :lol:

Image

Any further stupid schoolboy nonsense about the limit replacement functions will be deleted.
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Re: QM Local Prediction Simulation

Posted: Sun Mar 27, 2022 4:56 am
by FrediFizzx
FrediFizzx wrote: Sat Mar 26, 2022 6:00 am
gill1109 wrote: Fri Mar 25, 2022 11:16 pm OK! Well, you’ve had my comments before. Mathematica’s algorithm for computing a limit is the wrong algorithm for this application. It uses the discrete topology instead of the usual topology on R^3, because it is based primarily on doing formal formula manipulations, not on doing numerical computations.
You're a freakin' stupid idiot or just plain very dishonest. Even my MathCad program also knows how to do a limit replacement function so it has nothing to do with Mathematica. And has everything to do with your defective brain. :lol:

Image

Any further stupid schoolboy nonsense about the limit replacement functions will be deleted.
For any lurkers that might be following this, you can think of the limit replacement function as like a Fourier transform where one variable is swapped for another. Perhaps we should simply call it a "limit transform" and it is a very valid mathematical operation contrary to what Gill would have you believe. Physically, the limit transform represents the action of the detection polarizers with the particle spin.
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Re: QM Local Prediction Simulation

Posted: Mon Mar 28, 2022 10:57 pm
by gill1109
FrediFizzx wrote: Sun Mar 27, 2022 4:56 am
FrediFizzx wrote: Sat Mar 26, 2022 6:00 am
gill1109 wrote: Fri Mar 25, 2022 11:16 pm OK! Well, you’ve had my comments before. Mathematica’s algorithm for computing a limit is the wrong algorithm for this application. It uses the discrete topology instead of the usual topology on R^3, because it is based primarily on doing formal formula manipulations, not on doing numerical computations.
You're a freakin' stupid idiot or just plain very dishonest. Even my MathCad program also knows how to do a limit replacement function so it has nothing to do with Mathematica. And has everything to do with your defective brain. :lol:
Image
Any further stupid schoolboy nonsense about the limit replacement functions will be deleted.
For any lurkers that might be following this, you can think of the limit replacement function as like a Fourier transform where one variable is swapped for another. Perhaps we should simply call it a "limit transform" and it is a very valid mathematical operation contrary to what Gill would have you believe. Physically, the limit transform represents the action of the detection polarizers with the particle spin.
Interesting. What do Mathematica and MathCad have to say about "lim_{x to 0} sin(x) / x"?

Re: QM Local Prediction Simulation

Posted: Tue Mar 29, 2022 3:23 am
by FrediFizzx
gill1109 wrote: Mon Mar 28, 2022 10:57 pm ...
Interesting. What do Mathematica and MathCad have to say about "lim_{x to 0} sin(x) / x"?
Image

Image

That is just the cursor bar at the end of that last x.
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