Is there another workable interpretation of the Bell Inequality?

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Discussion Overview

The discussion revolves around interpretations of the Bell Inequality in quantum mechanics, particularly exploring the implications of adding information to quantum events and the potential for hidden variables. Participants examine whether these ideas could lead to a new understanding of quantum mechanics, while also addressing the boundaries of speculation in the context of established research.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant proposes that the Bell inequality could be negated by assuming measurements are selected from a larger set controlled by hidden variables in entangled particles.
  • This participant suggests that the angle of each photon could influence measurement outcomes, with a stronger match between photon and measurement angles increasing the likelihood of certain results being recorded.
  • Another participant questions the validity of personal speculations and encourages referencing the original paper discussed in the article for a more grounded inquiry.
  • A different participant expresses uncertainty about whether the article's ideas constitute a new interpretation of quantum mechanics and highlights the distinctiveness of new information as a potentially valuable concept.
  • Concerns are raised about the mathematical accuracy of the proposed ideas, with one participant suggesting that "cosine" may need to be "cosine squared" for the argument to hold.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the validity of the proposed interpretations or the appropriateness of personal speculation. There are competing views on how to approach the discussion, with some advocating for a more rigorous basis in existing literature.

Contextual Notes

Participants express uncertainty regarding the implications of adding information to quantum mechanics and the mathematical formulations involved. There is also a noted lack of clarity on whether the ideas presented can be classified as a new interpretation of the Bell Inequality.

.Scott
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TL;DR
A recent article in Quantum Magazine invokes the notion that some events in our universe may be prohibited simply because they would add to the total information in a very subtle way. It seems to me that this might constitute a kind of "reason" behind Bell-Inequality-type logic.
I just read an article in Quantum Magazine about "unitary" results and how this is tied to looking at the reversibility of quantum events.

It provided an easy-to-understand mechanism for tracking the effects of adding information to a fictional universe. The example they gave for detecting a "new information" violation doesn't apply to real-world QM, but it does demonstrate how easily that "check" encoding could be maintained.

So, I wonder how the QM rules might be re-interpreted if this kind of persistent check information was kept and used in "real QM".

I think the alternate interpretation might look like this:
The Bell inequality can be erased if you presume: 1) that the set of measurements you are making is actually a selection from a larger set; and 2) that the selection is controlled by hidden variables in each particle of the entanglement. So, for example, each photon has a hidden value that is an actual angle. When the photon reaches the measurement instrument, the + or - result will be a function of the photon angle and the measurement angle. If they mostly match (+/-45 degrees) it's +1, otherwise it's -1. But, then you apply a separate rule related to the addition of information to the universe: The stronger the match (cosine of the angle), the more likely it is to exist at all - and thus the more likely it is to be tallied in the statistics. In essence, local reality is preserved because all of the information was shared long before the experiment even started. Or, alternatively, you can't create a really fair Bell Inequality experiment without adding information to the universe.

This doesn't sway my view on local reality theory because I still can't see how particles could interact at all without violating it.
 
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.Scott said:
I think the alternate interpretation might look like this
Are you getting this from the article, or a paper referenced by it? Remember that personal speculations are off limits here at PF.
 
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In the article's attempt to reconcile gravity and particle physics, they describe a way to view adding information to the universe. And they highlight the distinctiveness of such new information. It builds on their argument that there is a way out of the paradox - though I do not fully follow their logic.

Not all "new ways of looking at something" constitute a "new interpretation" and I am uncertain whether the authors in the article have crossed the line on that point. But I am focusing on their revelation that new information can be distinctive. I'm basically asking if that notion has wings. Does anyone see this notion as having wider usefulness?

I don't think there is a way to successfully ask these kind of questions without taking a sample shot at it myself. In that sense, I suppose anyone who makes a poor attempt at solving a HW assignment has ventured into some level of speculation.

I believe I have couched my remarks in "wonder" and "think" sufficiently to make it clear that I have no confidence in my line of thinking and that I am not encouraging anyone else to take this as more than questions.

In any case, thanks for the attention. I noticed that my post attracted readers fairly quickly and that you took a long look at it before responding.

I'm not sure, but also think that I may have an item of the Math wrong - in order to make this fit, I think that "cosine" may need to be "cosine squared".

Of course, if I have crossed the PF lines, just kill the post.
Or, if it needs more citation for the Bell inequality arithmetic (or something else), I can do that too.
 
.Scott said:
I don't think there is a way to successfully ask these kind of questions without taking a sample shot at it myself.
Yes, there is an obvious way: look at what the authors of the actual paper did. A paper is referenced in the article you linked to. Read it. And then ask questions based on what you read. That is much better than engaging in personal speculation.
 
PeterDonis said:
Read it. And then ask questions based on what you read.
And, since this can perfectly well be done in a new thread that references the actual paper, this thread is now closed.
 

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