Local Causality in a Friedmann-Robertson-Walker Spacetime

Foundations of physics and/or philosophy of physics, and in particular, posts on unresolved or controversial issues

Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby FrediFizzx » Mon Nov 23, 2015 11:58 am

Joy Christian wrote:Hi Everyone,

I have substantively expanded the paper being discussed in this thread. The expanded version is now on the arXiv: http://arxiv.org/abs/1405.2355.

Very nice. I would like to see in more "baby" steps how the results for eq. (37) an d(38) are obtained. I think it is very important to fully understand it as that whole page is very important to the complete states argument. Thanks.
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Mon Nov 23, 2015 12:33 pm

FrediFizzx wrote:
Joy Christian wrote:Hi Everyone,

I have substantively expanded the paper being discussed in this thread. The expanded version is now on the arXiv: http://arxiv.org/abs/1405.2355.

Very nice. I would like to see in more "baby" steps how the results for eq. (37) and (38) are obtained. I think it is very important to fully understand it as that whole page is very important to the complete states argument. Thanks.

Yes, eqs. (37) and (38) are the key equations. They are more or less the same as eqs. (5) and (6) of Pearle's paper. You may have a copy of his paper. We cannot post it here because of the copyrights, but if you do have his paper then have a look at his eqs. (5) and (6) to see if you follow his argument. That would be a good start.
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Wed May 04, 2016 2:35 am

***
I have posted a revised version of the "Local Causality" paper on the arXiv: http://arxiv.org/abs/1405.2355

Now the abstract for this substantively expanded version reads as follows:

A local, deterministic, and realistic model within a Friedmann-Robertson-Walker spacetime with constant spatial curvature (S^3) is presented which describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson. Exact agreement with the probabilistic predictions of quantum theory is achieved in the model without data rejection, remote contextuality, superdeterminism, or backward causation. A singularity-free Clifford-algebraic representation of S^3 with vanishing spatial curvature and non-vanishing torsion is then employed to transform the model in a more elegant form. Several event-by-event numerical simulations of the model are presented, which confirm our analytical results with the accuracy of 4 parts in 10^4 parts.

***
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby thray » Fri May 13, 2016 4:44 pm

Joy, it occurs to me that it’s easy to prove that a point at infinity such as that which differentiates R^3 from S^3, maps to the entire set of points in R^3.

In other words, the distance of one point to another is finite, except one, following from the arithmetic theorem that a point can map simultaneously to any set of points, provided it is far enough away.

So when we speak of a dynamic physical system finite in space and unbounded in time, every time interval except one is identical to every other (as Leslie Lamport shows by Buridan’s Principle: every measure function continuous from an initial condition in a bounded length of time contains a singularity of uncertain position).

Quantum mechanical descriptions of reality lack the feature of the point at infinity (thus the need for renormalization to restore the N – 1 physical measure result.

Just thinking out loud.

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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby thray » Fri May 13, 2016 5:29 pm

And having read the paper now, it looks to me as brilliant an argument as ever.
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Fri May 13, 2016 8:45 pm

thray wrote:Joy, it occurs to me that it’s easy to prove that a point at infinity such as that which differentiates R^3 from S^3, maps to the entire set of points in R^3.

In other words, the distance of one point to another is finite, except one, following from the arithmetic theorem that a point can map simultaneously to any set of points, provided it is far enough away.

So when we speak of a dynamic physical system finite in space and unbounded in time, every time interval except one is identical to every other (as Leslie Lamport shows by Buridan’s Principle: every measure function continuous from an initial condition in a bounded length of time contains a singularity of uncertain position).

Quantum mechanical descriptions of reality lack the feature of the point at infinity (thus the need for renormalization to restore the N – 1 physical measure result.

Just thinking out loud.

Tom

Good observations, Tom.

Yes, it is not difficult to prove, by stereographic projection for example, how R^3 relates to S^3 by a single point at infinity.
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Wed Jun 29, 2016 8:58 pm

Joy Christian wrote:***
I have posted a revised version of the "Local Causality" paper on the arXiv: http://arxiv.org/abs/1405.2355

Now the abstract for this substantively expanded version reads as follows:

A local, deterministic, and realistic model within a Friedmann-Robertson-Walker spacetime with constant spatial curvature (S^3) is presented which describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson. Exact agreement with the probabilistic predictions of quantum theory is achieved in the model without data rejection, remote contextuality, superdeterminism, or backward causation. A singularity-free Clifford-algebraic representation of S^3 with vanishing spatial curvature and non-vanishing torsion is then employed to transform the model in a more elegant form. Several event-by-event numerical simulations of the model are presented, which confirm our analytical results with the accuracy of 4 parts in 10^4 parts.

***

I have now posted the final version of this paper, a version that has just been accepted for publication by a physics journal: http://arxiv.org/abs/1405.2355. :) :) :)

***
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby ajw » Wed Jun 29, 2016 10:07 pm

Great news! Congratulations!
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Thu Jun 30, 2016 1:34 am

ajw wrote:Great news! Congratulations!

Thank you, Albert Jan. Your contribution to physics is now officially acknowledged. :)
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby thray » Thu Jun 30, 2016 4:32 am

Wonderful news! Congratulations, Joy!

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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Thu Jun 30, 2016 5:46 am

thray wrote:Wonderful news! Congratulations, Joy!

Tom

Thank you, Tom. :)
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Mon Jul 04, 2016 10:43 pm

ajw wrote:Great news! Congratulations!

Here is a link to the journal article: http://dx.doi.org/10.1016/j.aop.2016.06.021

***
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby FrediFizzx » Mon Jul 04, 2016 11:23 pm

Joy Christian wrote:
ajw wrote:Great news! Congratulations!

Here is a link to the journal article: http://dx.doi.org/10.1016/j.aop.2016.06.021

***

Way to go, Joy! I guess the famous editor in chief Brian Greene thinks it is correct. Congrats again.
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Mon Jul 04, 2016 11:33 pm

FrediFizzx wrote:
Joy Christian wrote:
ajw wrote:Great news! Congratulations!

Here is a link to the journal article: http://dx.doi.org/10.1016/j.aop.2016.06.021

***

Way to go, Joy! I guess the famous editor in chief Brian Greene thinks it is correct. Congrats again.

Thank you, Fred.

Yes, Brian Greene is the new, high-profile editor-in-chief of Annals of Physics.

***
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Wed Jul 06, 2016 2:38 am

***
I suppose I should provide a brief background to this paper for the uninitiated --- just to explain what the significance is of this paper.

Well, it demonstrates in detail that quantum entanglement is not a fundamental feature of the world, by answering in the affirmative the question famously left open by Einstein, Podolsky and Rosen (EPR) in 1935.

EPR concluded in their famous paper of 1935 that “While we have thus shown that the wave function does not provide a complete description of the physical reality, we left open the question of whether or not such a description exists.” This question is answered in my paper in the affirmative.

***
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Sat Jul 09, 2016 1:11 am

***
For your visual delight, here is one of the Geometric Algebra based simulation of the model discussed in the above paper: viewtopic.php?f=6&t=200&p=5550#p5514

FrediFizzx wrote:I have extended Albert Jan's simulation to 9 degree increment resolution. Probably not much point in going further with it since we know the result of Joy's model is -a.b.
Image
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Wed Jul 20, 2016 3:28 am

***
The full bibliographic details of this paper are now available: Annals of Physics, vol. 373C (October 2016) pp. 67-79.

***
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Dirkman » Tue Aug 30, 2016 5:06 am

Why was the article removed from Annals of Physics ?
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Tue Aug 30, 2016 8:46 am

Dirkman wrote:Why was the article removed from Annals of Physics ?

Image
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Re: Local Causality in a Friedmann-Robertson-Walker Spacetim

Postby Joy Christian » Wed Aug 31, 2016 6:08 am

***
There are celebrations in some quarters, with a presumption that Annals of Physics has dropped the Hot Potato. :)

However, the last communication I received from Annals of Physics was two months ago, and it was the following:


Subject: AOP 71432R1 accepted .................................................. Sent: Sun 26/06/2016 07:41

Ms. AOP 71432R1
Title: Local Causality in a Friedmann-Robertson-Walker Spacetime
Corresponding Author: Dr. Joy Christian
Annals of Physics

Dear Dr. Christian:

I am pleased to inform you that the editor has accepted your paper, referenced above for publication.

Please note that your paper will now be sent to the production office for further processing.
If you have any questions during this next stage, please contact me at (aop@elsevier.com).

Thank you for submitting your work to Annals of Physics.

Yours sincerely,

Shahid
Journal Manager
for the Editors, Annals of Physics

Reviewer's comments:

Reviewer #1: In his revision, the author has satisfactorily addressed the concerns which I had raised.
I consider the manuscript suitable for publication in the revised version.

***
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