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Cool! Thank you for the link and info. Will read both tomorrow with great interest.

- local
**Posts:**83**Joined:**Mon Aug 05, 2019 1:19 pm

Here is some typical output of the GAViewer code that is in the paper.

One can see that the correlation matches up perfectly to neg_adotb event by event so verifies the product calculation. And that the bivectors are vanishing in the "mean".

.

- Code: Select all
`neg_adotb = 0.574949`

theta = 234.903931

correlation = 0.574949

neg_adotb = 0.386546

theta = 247.260223

correlation = 0.386546

neg_adotb = 0.006321

theta = 90.362167

correlation = 0.006321

neg_adotb = -0.487911

theta = 60.796616

correlation = -0.487911

neg_adotb = 0.196614

theta = 101.339050

correlation = 0.196614

neg_adotb = -0.526722

theta = 58.215748

correlation = -0.526722

neg_adotb = 0.898704

theta = 153.988235

correlation = 0.898704

neg_adotb = -0.832386

theta = 33.655334

correlation = -0.832386

neg_adotb = 0.113726

theta = 96.530151

correlation = 0.113726

neg_adotb = 0.461435

theta = 242.520279

correlation = 0.461435

neg_adotb = 0.399192

theta = 246.472336

correlation = 0.399192

neg_adotb = 0.532410

theta = 122.168465

correlation = 0.532410

neg_adotb = -0.392552

theta = 66.886620

correlation = -0.392552

neg_adotb = 0.254378

theta = 104.736710

correlation = 0.254378

mean = 0.001660 + 0.004355*e2^e3 + -0.001763*e3^e1 + -0.002109*e1^e2

aveA = 0.004108

aveB = 0.000323

One can see that the correlation matches up perfectly to neg_adotb event by event so verifies the product calculation. And that the bivectors are vanishing in the "mean".

.

- FrediFizzx
- Independent Physics Researcher
**Posts:**1700**Joined:**Tue Mar 19, 2013 7:12 pm**Location:**N. California, USA

Happy Thanksgiving to all!

And thank you FrediFizzx for the great forum.

And thank you FrediFizzx for the great forum.

- local
**Posts:**83**Joined:**Mon Aug 05, 2019 1:19 pm

local wrote:Happy Thanksgiving to all!

And thank you FrediFizzx for the great forum.

You're welcome and Happy Thanksgiving to you and all.

Now, if I could just figure out the function for the sign flip, it would be a really great Thanksgiving.

.

- FrediFizzx
- Independent Physics Researcher
**Posts:**1700**Joined:**Tue Mar 19, 2013 7:12 pm**Location:**N. California, USA

Joy Christian wrote:***

Ok., here is the new paper: https://arxiv.org/abs/1911.11578.Title: Dr. Bertlmann's Socks in the Quaternionic World of Ambidextral Reality

Abstract:

In this pedagogical paper, John S. Bell's amusing example of Dr. Bertlmann's socks is reconsidered, first within a toy model of a two-dimensional one-sided world of a non-orientable Möbius strip, and then within a real world of three-dimensional quaternionic sphere, S^3, which results from an addition of a single point to R^3 at infinity. In the quaternionic world, which happens to be the spatial part of a solution of Einstein's field equations of general relativity, the singlet correlations between a pair of entangled fermions can be understood as classically as those between Dr. Bertlmann's colorful socks.

I have revised the pedagogical paper: https://arxiv.org/abs/1911.11578.

I have added an appendix proving the equivalence of the conservation of spin angular momentum and the twists in the Hopf bundle of S^3. This makes the paper more technical than I intended it to be, but the technicality (as beautiful as it is) is in the appendix and can be ignored in the first reading.

I have also added a couple of explanatory lines in the code presented in Section IV to bring the code more in line with the analytical derivation of the singlet correlations.

***

- Joy Christian
- Research Physicist
**Posts:**2132**Joined:**Wed Feb 05, 2014 4:49 am**Location:**Oxford, United Kingdom

***

Quite independently of any cosmological model, for the past twelve years I have argued for a closed S^3 model for the 3D physical space. My argument comes from a local-realistic understanding of quantum correlations. It is good to know that cosmological data also now seem to support the closed model for the physical space:

"... the Planck cosmic microwave background spectra now preferring a positive curvature at more than 99% confidence level":

https://www.nature.com/articles/s41550-019-0906-9

***

Quite independently of any cosmological model, for the past twelve years I have argued for a closed S^3 model for the 3D physical space. My argument comes from a local-realistic understanding of quantum correlations. It is good to know that cosmological data also now seem to support the closed model for the physical space:

"... the Planck cosmic microwave background spectra now preferring a positive curvature at more than 99% confidence level":

https://www.nature.com/articles/s41550-019-0906-9

***

- Joy Christian
- Research Physicist
**Posts:**2132**Joined:**Wed Feb 05, 2014 4:49 am**Location:**Oxford, United Kingdom

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