Sci.Physics.Foundations

gill1109 wrote: ↑Wed Aug 17, 2022 8:10 am And good luck with your “Reply” in connection with the RSOS paper. I’m looking forward to seeing it in print.

Joy Christian wrote: ↑Wed Aug 17, 2022 8:04 am

gill1109 wrote: ↑Wed Aug 17, 2022 7:48 am

Joy Christian wrote: ↑Wed Aug 17, 2022 1:49 am
I did not choose X = 1 + epsilon and Y = 1 - epsilon to allege a counterexample. You and Lasenby made those ad hoc and incorrect choices, so don't throw them back at me. Such two-dimensional objects play no role whatsoever in my local-realistic framework. They are entirely your mistakes, not mine.
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Those two objects are elements of your 8-dimensional algebra. I didn’t “invent” them. I found them. They exist according to the axioms which you have chosen to adopt.

Even if those ad hoc choices of X and Y are made, they do not contradict the norm relation ||XY|| = ||X|| ||Y|| as you claimed. That is the point you and Lasenby have missed. You both are grasping for straws. The norm relation holds for all elements of the algebra considered in my paper, without exception.
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gill1109 wrote: ↑Wed Aug 17, 2022 7:48 am

Joy Christian wrote: ↑Wed Aug 17, 2022 1:49 am

gill1109 wrote: ↑Thu Jul 21, 2022 10:56 pm Joy, you define ||.|| to be a non-negative real number. Yet you give an example with ||X|| = sqrt(1 + epsilon) and ||Y|| = sqrt(1 - epsilon), where epsilon is not a real number.

I did not choose X = 1 + epsilon and Y = 1 - epsilon to allege a counterexample. You and Lasenby made those ad hoc and incorrect choices, so don't throw them back at me. Such two-dimensional objects play no role whatsoever in my local-realistic framework. They are entirely your mistakes, not mine.
.

Those two objects are elements of your 8-dimensional algebra. I didn’t “invent” them. I found them. They exist according to the axioms which you have chosen to adopt.

Joy Christian wrote: ↑Wed Aug 17, 2022 1:49 am

gill1109 wrote: ↑Thu Jul 21, 2022 10:56 pm Joy, you define ||.|| to be a non-negative real number. Yet you give an example with ||X|| = sqrt(1 + epsilon) and ||Y|| = sqrt(1 - epsilon), where epsilon is not a real number.

I did not choose X = 1 + epsilon and Y = 1 - epsilon to allege a counterexample. You and Lasenby made those ad hoc and incorrect choices, so don't throw them back at me. Such two-dimensional objects play no role whatsoever in my local-realistic framework. They are entirely your mistakes, not mine.
.

gill1109 wrote: ↑Thu Jul 21, 2022 10:56 pm Joy, you define ||.|| to be a non-negative real number. Yet you give an example with ||X|| = sqrt(1 + epsilon) and ||Y|| = sqrt(1 - epsilon), where epsilon is not a real number.

FrediFizzx wrote: ↑Sat Jun 04, 2022 8:27 pm

Joy Christian wrote: ↑Sat May 28, 2022 1:13 pm .
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 correlations are rooted in 7-sphere topology. We have 3 different local models without hidden variables for the EPR-Bohm scenario that predict -a.b using 3-sphere topology. That brings up the question; will the 7-sphere model still work if lambda is removed? I guess I will dust off the simulations for that to check it out.

Joy Christian wrote: ↑Sat May 28, 2022 1:13 pm .
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.

FrediFizzx wrote: ↑Sat May 28, 2022 2:07 pm

Joy Christian wrote: ↑Sat May 28, 2022 1:13 pm .
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 DOI to be the arXiv version now or stay to the RG one? Yeah, the main trick is for the URL link in the references to stay the same. I'll work on the Notebook Archive on Tuesday since Monday is a holiday here and they probably won't do anything until then.

Joy Christian wrote: ↑Sat May 28, 2022 1:13 pm .
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.

Joy Christian wrote: ↑Wed May 25, 2022 4:32 am .
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.

The framework presented in the paper assumes that Bell's formal argument against such a possibility is wrong. I have discussed the reason why it is wrong in Section 2.4 of my Reply paper for RSOS (which is currently undergoing peer-review at the journal): http://dx.doi.org/10.13140/RG.2.2.34887.37286.