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**Gordon Watson**: *on* 5/29/18 at 2:22am UTC, wrote Dear Ian, Congratulations of your success in the essay contest! Is it too...

**Ian Durham**: *on* 3/16/18 at 17:23pm UTC, wrote Hi Gordon, I will have to read your essay, but I will say that you can't...

**Gordon Watson**: *on* 3/15/18 at 7:04am UTC, wrote Dear Ian; further to my earlier comments, please: Since we cannot both...

**Ian Durham**: *on* 3/4/18 at 3:45am UTC, wrote Peter, Let's start with your first sentence: "I'm saying that if we start...

**Peter Jackson**: *on* 3/2/18 at 10:40am UTC, wrote Ian, My Feb 24 post outlines the classical mechanism in the essay. I'm...

**Ian Durham**: *on* 3/1/18 at 20:23pm UTC, wrote Hi Peter, Well, to be perfectly honest, I'm really not entirely sure what...

**Juan Ramón González Álvarez**: *on* 3/1/18 at 19:59pm UTC, wrote Finally it was an ox, and the mathematician, the economist, and the...

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FQXi FORUM

December 9, 2018

CATEGORY:
FQXi Essay Contest - Spring, 2017
[back]

TOPIC: Bell's Theory of Beables and the Concept of `Universe' by Ian Durham [refresh]

TOPIC: Bell's Theory of Beables and the Concept of `Universe' by Ian Durham [refresh]

From its earliest days nearly a century ago, quantum mechanics has proven itself to be a tremendously accurate yet intellectually unsatisfying theory to many. Not the least of its problems is that it is a theory about the results of measurements. As John Bell once said in introducing the concept of `beables', it should be possible to say what _is_ rather than merely what _is_observed_. In this essay I consider the question of whether a universe can be a beable and what that implies about the fundamental nature of that universe. I conclude that a universe that is a beable within the framework of some theory, cannot be fundamental.

Ian Durham spends his days as a quantum physicist and reluctant department chair. That's also how he spends his nights. Occasionally he goes fishing.

An interesting paper.

Having a universe as a/the fundamental entity occurs in quite a few contest essays here (including mine).

In my paper there are four fundamental sets of 'universes' based on the idea that the three colour dimensions and spin are each 4D block of spacetime. Using these four 4D blocks as building blocks I used a preon model to build (non-mathematically, alas) all SM particles with the correct eigenvalues and decay paths. Whether or not these universes are fundamental is unknown. The higgs messes it up by there being weak isospin in particles/fields and in the higgs environment so I had to include weak isospin as if it were a fundamental property of particles when really it isn't, for me, as I derives it from the colour dimensions. Normal spacetime I have as emergent, or at least the metric is, and it is unclear to me if our spacetime is just the spin 4D block dressed with an emergent metric and having an unknown topology. Since I have spacetime as emergent it is possible that all my four 'universes' are emergent by an unknown origin. The three colour universes have a group structure and I suspect that the group structure is built from three precursor colourless universes with no group structure.

With respect to your comments on the neutrino, in my preon model all SM particles are built from preons and the neutrino is simply a different combination of preons, and hence with different properties, than say are the electrons. So, to me, neutrinos are special but not quite as special as usually taken.

Best wishes

report post as inappropriate

Having a universe as a/the fundamental entity occurs in quite a few contest essays here (including mine).

In my paper there are four fundamental sets of 'universes' based on the idea that the three colour dimensions and spin are each 4D block of spacetime. Using these four 4D blocks as building blocks I used a preon model to build (non-mathematically, alas) all SM particles with the correct eigenvalues and decay paths. Whether or not these universes are fundamental is unknown. The higgs messes it up by there being weak isospin in particles/fields and in the higgs environment so I had to include weak isospin as if it were a fundamental property of particles when really it isn't, for me, as I derives it from the colour dimensions. Normal spacetime I have as emergent, or at least the metric is, and it is unclear to me if our spacetime is just the spin 4D block dressed with an emergent metric and having an unknown topology. Since I have spacetime as emergent it is possible that all my four 'universes' are emergent by an unknown origin. The three colour universes have a group structure and I suspect that the group structure is built from three precursor colourless universes with no group structure.

With respect to your comments on the neutrino, in my preon model all SM particles are built from preons and the neutrino is simply a different combination of preons, and hence with different properties, than say are the electrons. So, to me, neutrinos are special but not quite as special as usually taken.

Best wishes

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Dear Ian,

What a nice idea to use Bell's theory of beables to discuss, what is fundamental. Bell's view of beables - I belief - is how most of us think about how the universe looks like.

You nicely show, that a universe that is a beable cannot be fundamental. It consists of all that exists. And certainly the universe itself exists independently of any observation. But are the things the universe consists of itself beables in your opinion? If no, how can the universe itself be a beable an being constructed of non-beables?

I always liked Bohr. However Bell and Einstein are the ones that are nearer to our thinking on what is real. So when I try to defend Bohr, I always have in mind Bell and Einstein, to explain how Bohr could have been right.

In my essay "The quantum sheep - In defence of a positivist view on physic" (not online yet), I gave a precise physical/mathematical meaning of Bohr's reply on EPR about "[the] influence of the very conditions which define the possible types of predictions regarding the future behaviour of the system." As a consequence I show, that the condition under which our fundamental concepts can be defined depends on the state of the universe as a whole. Hence also the description of the universe as consisting of these fundamental concepts depends on the the state of the universe. Can it then still be a beable?

Thanks for your nicely written essay and I hope you find time to read my essay.

Luca

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What a nice idea to use Bell's theory of beables to discuss, what is fundamental. Bell's view of beables - I belief - is how most of us think about how the universe looks like.

You nicely show, that a universe that is a beable cannot be fundamental. It consists of all that exists. And certainly the universe itself exists independently of any observation. But are the things the universe consists of itself beables in your opinion? If no, how can the universe itself be a beable an being constructed of non-beables?

I always liked Bohr. However Bell and Einstein are the ones that are nearer to our thinking on what is real. So when I try to defend Bohr, I always have in mind Bell and Einstein, to explain how Bohr could have been right.

In my essay "The quantum sheep - In defence of a positivist view on physic" (not online yet), I gave a precise physical/mathematical meaning of Bohr's reply on EPR about "[the] influence of the very conditions which define the possible types of predictions regarding the future behaviour of the system." As a consequence I show, that the condition under which our fundamental concepts can be defined depends on the state of the universe as a whole. Hence also the description of the universe as consisting of these fundamental concepts depends on the the state of the universe. Can it then still be a beable?

Thanks for your nicely written essay and I hope you find time to read my essay.

Luca

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By the way, in my essay I put a black or a white sheep in a box and give it different coloured flowers to eat. I ask how the laws must look like, in order to be able to know the colour of the sheep.

Luca

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Luca

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Dear Ian Durham,

a clearly written and interesting essay, thank you for sharing. However it seems that you are using induction not in the usual way it is used by Comte and the following philosophers of science. By 'induction' you merely mean a methodology that allows to relate theory and observations. But this is improper, since induction is only one (and quite surpassed) way of doing this. Induction tries to justify a universal law from a finite number of observed instances. After Comte and the post-Popper era, almost no one in science claims to use inductive inferences. So, your sentence "At the heart of the problem of inference, more properly

known as the problem of induction [24], is what John Bell referred to as the ‘subject-object distinction’" doesn't seems to me anyhow correct. The subject-object ditinction, that is the actual core of your essay, is one of the most profound open problems in quantum mechanics, and possibly in physics in general, but definitely is not the same as the problem of induction.

Besides this, nice essay. I wish you success.

Flavio

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a clearly written and interesting essay, thank you for sharing. However it seems that you are using induction not in the usual way it is used by Comte and the following philosophers of science. By 'induction' you merely mean a methodology that allows to relate theory and observations. But this is improper, since induction is only one (and quite surpassed) way of doing this. Induction tries to justify a universal law from a finite number of observed instances. After Comte and the post-Popper era, almost no one in science claims to use inductive inferences. So, your sentence "At the heart of the problem of inference, more properly

known as the problem of induction [24], is what John Bell referred to as the ‘subject-object distinction’" doesn't seems to me anyhow correct. The subject-object ditinction, that is the actual core of your essay, is one of the most profound open problems in quantum mechanics, and possibly in physics in general, but definitely is not the same as the problem of induction.

Besides this, nice essay. I wish you success.

Flavio

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Dear Ian,

“Universal beables may not be knowable, but local ones, as in those bounded within a particular region of space-time, might.” I wonder if the particular regions you mention are those that agents can think of ? Because then these regions can be infinite. I agree that “universal” beables are not knowable when universal means beyond konowable.

“At the very least, it...

view entire post

“Universal beables may not be knowable, but local ones, as in those bounded within a particular region of space-time, might.” I wonder if the particular regions you mention are those that agents can think of ? Because then these regions can be infinite. I agree that “universal” beables are not knowable when universal means beyond konowable.

“At the very least, it...

view entire post

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Ian,`

Excellent essay on what is really fundamental. Your essay a keeper – downloaded!

“we could attempt to deduce them from first principles, i.e. axiomatize them”.

This is what I attempt to do in my essay. I replace axioms by necessary requirement from the basic logic of the rule of non-contradiction.

A beable is pious word meant to replace the infamous “substance” conjured up by Metaphysics. I don’t use the “M” word anymore, but I do work with “substance” and “cause” ...

Check it out!

All the bests,

Marcel,

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Excellent essay on what is really fundamental. Your essay a keeper – downloaded!

“we could attempt to deduce them from first principles, i.e. axiomatize them”.

This is what I attempt to do in my essay. I replace axioms by necessary requirement from the basic logic of the rule of non-contradiction.

A beable is pious word meant to replace the infamous “substance” conjured up by Metaphysics. I don’t use the “M” word anymore, but I do work with “substance” and “cause” ...

Check it out!

All the bests,

Marcel,

report post as inappropriate

From page 4: "One approach to the problem of induction is to build theories from the ground up. That is, rather than construct theories based on our observations of the world, we could attempt to deduce them from first principles, i.e. axiomatize them." Four hundred years ago, Bacon proclaimed that reliance upon that very approach was directly responsible for delaying scientific progress for 2000 years. In other words, it is a dead-end as far as understanding "reality" is concerned. Rejecting that approach, in favor of induction, subsequently formed the basis of what came to be called THE "scientific method". The axiomatic approach is the method of choice for mathematics. But Physics is not Mathematics. Whatever the problems with induction, deduction, based upon dubious premises (the only kind that exist, pertaining to "reality") is even more problematic.

From page 7: "The universe’s existence is independent of our observation of it." But one truly fundamental fact remains: Our observations are not independent of the universe's existence, even if that universe is no more that some vat in which our brains sit. The universe, whatever its structure may be, is fundamental to our existence.

Rob McEachern

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From page 7: "The universe’s existence is independent of our observation of it." But one truly fundamental fact remains: Our observations are not independent of the universe's existence, even if that universe is no more that some vat in which our brains sit. The universe, whatever its structure may be, is fundamental to our existence.

Rob McEachern

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I actually agree with both your statements. In my essay, I am only saying that the universe is not fundamental in the types of theories in which it can properly serve as a beable in the sense implied by Bell. Likewise, in no way am I saying that deduction will get around the problem of induction. Indeed, a good chunk of my PhD thesis was on precisely that.

"I am only saying that the universe is not fundamental in the types of theories..." I agree. My point is, that says more about the nature of mathematical theories, than about the nature of the universe. Theories are virtually devoid of information. The universe is not. Hence, the map fails to provide anything more than a very meager description of the territory. Reality is determined by the vast information content of the initial conditions, not the exceedingly sparse information content of sets of equations; change the initial conditions, and you change the resulting reality, even if the equations remain the same.

Rob McEachern

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Rob McEachern

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Hi Ian, I like your essay very much. I agree that consideration of beables is very important. As you discuss before the end there is lack of clarity about what is meant by 'the universe' or even 'the totality of all that exists'. I think there needs to be separate terms for different versions of the universe or notions of the universe. Clearly the beable universe is not the same as the visible universe. At least as I see it, the beable universe is what exists -Now and the visible universe is what can be generated from receivable, EM signals.You wrote " The universe’s existence is independent of our observation of it. We don’t simply observe that it exists, it does exist."I.D. But what we observe is not what exists. We observe products of our senses or measurements which are relational, tying back in with the one side of a cow. The beables are the sources of all observations of them.

The beable cow has no difficulty being in a black /brown 'superposition' of states. In one man's view of the universe it is brown and in another's it is black. So the seen universes are not identical to the beable universe. Each man's observation gives a singular, limited, fixed state that is an impoverished version of what exists. If he was to make more observations and the cow was to turn around it might seem that the blackness or brownness of cows is random! (I don't mean that literally but as an illustration of the relational aspect of what something is deemed to be.

Kind regards Georgina

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The beable cow has no difficulty being in a black /brown 'superposition' of states. In one man's view of the universe it is brown and in another's it is black. So the seen universes are not identical to the beable universe. Each man's observation gives a singular, limited, fixed state that is an impoverished version of what exists. If he was to make more observations and the cow was to turn around it might seem that the blackness or brownness of cows is random! (I don't mean that literally but as an illustration of the relational aspect of what something is deemed to be.

Kind regards Georgina

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Hmm. I guess the question of existence is a sticky one. Personally, as I suggested in the essay, there are certain things that simply aren't provable. But the essence of science is that there *are* objectively knowable things. So while knowledge in quantum mechanics may be probabilistic, it is still knowledge and it is still predictable in the aggregate, i.e. the probabilistic sense. For instance, while I may not be able to predict if a single cow is brown or black, presumably many such measurements will tell me, on average, what many such cows will be and it is that average (mean or expectation value) that is ultimately highly predictable. After all, quantum electrodynamics, which is built on quantum mechanics, is arguably the most predictively accurate theory ever constructed in terms of how well theoretical predictions match experimental outcomes.

Dear Ian,

thank you for your good essay, I found some interesting points in commons with mine about absolute relativism, but we follow different paths. I think that you could be interested in the book "Why the World Does Not Exist" by Markus Gabriel. It's a divulgative text, but the core idea has something in common with yours.

Bests,

Francesco

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thank you for your good essay, I found some interesting points in commons with mine about absolute relativism, but we follow different paths. I think that you could be interested in the book "Why the World Does Not Exist" by Markus Gabriel. It's a divulgative text, but the core idea has something in common with yours.

Bests,

Francesco

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Ian:

Wonderful, instructive essay.

I note each of us has experience of the universe that is slightly different than others. These experiences form the basis of our descriptions as you note with the cow. So our experiences form the basis of our descriptions. Thus, the science need to repeat the observations and to interpret the observations to benefit ourselves.

Hodge

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Wonderful, instructive essay.

I note each of us has experience of the universe that is slightly different than others. These experiences form the basis of our descriptions as you note with the cow. So our experiences form the basis of our descriptions. Thus, the science need to repeat the observations and to interpret the observations to benefit ourselves.

Hodge

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Dear Ian,

I enjoyed reading your essay. It contains very interesting discussions of Bell's beables and the relation with what is fundamental, and you explain in a very engaging way. The conclusion is surprising and intriguing. Happy birthday, and success with the contest!

Best wishes,

Cristi

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I enjoyed reading your essay. It contains very interesting discussions of Bell's beables and the relation with what is fundamental, and you explain in a very engaging way. The conclusion is surprising and intriguing. Happy birthday, and success with the contest!

Best wishes,

Cristi

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Hello Ian,

Surprised to see you claim existence of a neutrino magnetic moment. Quick google search gives reasonably recent reference

https://www.sciencedirect.com/science/article/pii/S

0370269315009545

where they claim an upper bound only of a few 10^-11 Bohr magnetons. Hope this is not central to your point.

Trying to get some sense of what a beable is. What is...

view entire post

Surprised to see you claim existence of a neutrino magnetic moment. Quick google search gives reasonably recent reference

https://www.sciencedirect.com/science/article/pii/S

0370269315009545

where they claim an upper bound only of a few 10^-11 Bohr magnetons. Hope this is not central to your point.

Trying to get some sense of what a beable is. What is...

view entire post

report post as inappropriate

Actually Bell was a dBB proponent. And you are not the only one who finds beables a bit vague. If you read Bell's original papers, they are not all consistent. What they do seem to represent is an evolution of his thinking on the concept. But the short answer is that, in modern terms, most people accept that a beable, whatever it is, sets the ontology for a theory.

As for the neutrino magnetic moment, it is worth pointing out that the current constraints are all experimental and have only been able to show that, if it exists, it has an upper bound that is extremely small but, crucially, non-zero. As such, there are some alternative theories in which the neutrino is not a fundamental particle but rather consists of something like a W+ boson and something else (the exact other particle escapes me at the moment).

Anyway, it is certainly not crucial to my argument.

As for the neutrino magnetic moment, it is worth pointing out that the current constraints are all experimental and have only been able to show that, if it exists, it has an upper bound that is extremely small but, crucially, non-zero. As such, there are some alternative theories in which the neutrino is not a fundamental particle but rather consists of something like a W+ boson and something else (the exact other particle escapes me at the moment).

Anyway, it is certainly not crucial to my argument.

Hi Ian,

Yay, beables! :-)

One important point about Bell's use of "local beables" that I think it's important to stress, is that every beable is *somewhere* and *somewhen*. In other words, they're parameters that are functions on spacetime. (To take Bell's example that you quote, the field values in classical E+M are clearly spacetime-localized beables.) In fact, if you take this spacetime-localization as the proper reading of his "belonging to objects" quote, the problems you note in section 1 pretty much vanish, I think.

Then, when you get to nonlocal beables like wavefunctions, it also becomes clearer that you're talking about something very different. Concepts that apply to local beables don't necessarily apply to nonlocal beables. (In my way of thinking, the latter shouldn't even be called "beables" at all -- I prefer "ontology" here, to keep beables connected to spacetime, with wavefunctions and functionals of field configurations in some broader category.)

But then I certainly come around to agreeing with your conclusion: if the universe is the sum total of all the beables, then the *universe* isn't fundamental -- the *beables* are! But would you be okay with adding the laws and boundary conditions that constrain those beables to the set of things that are "fundamental"?

Thanks for the essay! -Ken

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Yay, beables! :-)

One important point about Bell's use of "local beables" that I think it's important to stress, is that every beable is *somewhere* and *somewhen*. In other words, they're parameters that are functions on spacetime. (To take Bell's example that you quote, the field values in classical E+M are clearly spacetime-localized beables.) In fact, if you take this spacetime-localization as the proper reading of his "belonging to objects" quote, the problems you note in section 1 pretty much vanish, I think.

Then, when you get to nonlocal beables like wavefunctions, it also becomes clearer that you're talking about something very different. Concepts that apply to local beables don't necessarily apply to nonlocal beables. (In my way of thinking, the latter shouldn't even be called "beables" at all -- I prefer "ontology" here, to keep beables connected to spacetime, with wavefunctions and functionals of field configurations in some broader category.)

But then I certainly come around to agreeing with your conclusion: if the universe is the sum total of all the beables, then the *universe* isn't fundamental -- the *beables* are! But would you be okay with adding the laws and boundary conditions that constrain those beables to the set of things that are "fundamental"?

Thanks for the essay! -Ken

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Thanks Ken. Yes, I absolutely think that the laws and boundary conditions that constrain the beables *must* be fundamental, at least within a given theory. So if the given theory is about the universe as a whole, then they would be *the* fundamental entities.

As far as Bell goes, perhaps not surprisingly I have a slightly different reading of what he means by "beable" in the sense that I don't think he is as consistent and clear across his papers as everyone seems to think he is. So I'm not sure I entirely agree with your first two points, though I will have to think more about them.

But, yay beables! Never thought I would write this kind of essay (or reach that conclusion, for that matter) and yet here I am...

As far as Bell goes, perhaps not surprisingly I have a slightly different reading of what he means by "beable" in the sense that I don't think he is as consistent and clear across his papers as everyone seems to think he is. So I'm not sure I entirely agree with your first two points, though I will have to think more about them.

But, yay beables! Never thought I would write this kind of essay (or reach that conclusion, for that matter) and yet here I am...

Dear Ian Durham

Just letting you know that I am making a start on reading of your essay, and hope that you might also take a glance over mine please? I look forward to the sharing of thoughtful opinion. Congratulations on your essay rating as it stands, and best of luck for the contest conclusion.

My essay is titled

“Darwinian Universal Fundamental Origin”. It stands as a novel test for whether a natural organisational principle can serve a rationale, for emergence of complex systems of physics and cosmology. I will be interested to have my effort judged on both the basis of prospect and of novelty.

Thank you & kind regards

Steven Andresen

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Just letting you know that I am making a start on reading of your essay, and hope that you might also take a glance over mine please? I look forward to the sharing of thoughtful opinion. Congratulations on your essay rating as it stands, and best of luck for the contest conclusion.

My essay is titled

“Darwinian Universal Fundamental Origin”. It stands as a novel test for whether a natural organisational principle can serve a rationale, for emergence of complex systems of physics and cosmology. I will be interested to have my effort judged on both the basis of prospect and of novelty.

Thank you & kind regards

Steven Andresen

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Respected Prof Ian Durham

Wonderful conclusion..... " a universe that is a beable within the framework of some theory, cannot be fundamental." by the way....

Here in my essay energy to mass conversion is proposed...……..….. yours is very nice essay best wishes …. I highly appreciate hope your essay and hope for reciprocity ….You may please spend some of the valuable time on...

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Wonderful conclusion..... " a universe that is a beable within the framework of some theory, cannot be fundamental." by the way....

Here in my essay energy to mass conversion is proposed...……..….. yours is very nice essay best wishes …. I highly appreciate hope your essay and hope for reciprocity ….You may please spend some of the valuable time on...

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Hi Ian,

I'm left a little confused. Are you a Bellist or are you not?

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I'm left a little confused. Are you a Bellist or are you not?

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I'm not an "anything"-ist. Bell clearly had some really good ideas but I certainly don't agree with him on everything. What interests me are the implications of his theory of beables. I haven't decided whether I like it as a theory or not, but that's because I don't think it's been vetted enough yet. This effort was a small one on my part to further vet his theory.

Ok, I get it now.

The reason I asked is that your conclusion from the abstract: " ... that a universe that is a beable within the framework of some theory, cannot be fundamental" is absolute.

Since general relativity is a mathematically complete theory -- not a framework -- in which beables exist and dynamically interact, universe included, Bell's theorem cannot be fundamental by your criteria.

Another reason one might consider Bell falsified, is that all proofs for the theorem (that I have seen) are based on double negation.

There are other reasons, too.

Enjoyed the essay.

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The reason I asked is that your conclusion from the abstract: " ... that a universe that is a beable within the framework of some theory, cannot be fundamental" is absolute.

Since general relativity is a mathematically complete theory -- not a framework -- in which beables exist and dynamically interact, universe included, Bell's theorem cannot be fundamental by your criteria.

Another reason one might consider Bell falsified, is that all proofs for the theorem (that I have seen) are based on double negation.

There are other reasons, too.

Enjoyed the essay.

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It's not really possible to "falsify" Bell's theorem. It's worth taking a look at some of the alternative derivations out there as they make it more clear what is going on. Two examples that spring to mind include Wigner's version (which is the one derived in Sakurai) and the one David Harrison derives as a pedagogical tool (it was floating around online somewhere).

Dear Ian Durham,

You begin with a logician [or a general semanticist] pointing out limits on how much we can reasonably infer from a given observation. Thanks! Don't see much of that these days. You then say "quantum mechanics is ostensibly a [statistical] theory about the results of measurements."

Bell, based on dBB, investigated "objective properties –...

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You begin with a logician [or a general semanticist] pointing out limits on how much we can reasonably infer from a given observation. Thanks! Don't see much of that these days. You then say "quantum mechanics is ostensibly a [statistical] theory about the results of measurements."

Bell, based on dBB, investigated "objective properties –...

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Thank you, Ian for yet another insightful and thought-provoking essay.

I remember that late night (for me) when I, in South Africa, and you, in Maine, were scrambling to get our essays into shape. I am very glad that you succeeded.

I enjoyed the parable about the economist, mathematician, and logician. Clearly, the logician was not a Bayesian and could not incorporate his prior information about the coloring of cows. Surprisingly, the mathematician seems to have been a Bayesian; and the economist a very poor one with ridiculous priors about the nature of cows in a region.

Your discussion of Bell's beables is interesting, and after reading a few pages in I feel that I could write an essay in response to this. The idea of assigning things, beables, properties is something I have given a lot of thought to. At this point, this idea that objects have positions in space and time, or have speeds or energy and momentum is clearly not right. Each of these 'properties' is observer-dependent, which means that they are not properties possessed by the objects in question, but instead represent a relationship between the object and the observer. This makes me feel more strongly that this is one of the problems of physics. These quantities represent relationships, not properties. It is possibly this fact that has led physics astray.

You now have me thinking about how one can conceive of my influence theory, which results in an emergent space-time, in terms of beables.

Thank you for an interesting, stimulating, and thoughtful essay!

Kevin Knuth

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I remember that late night (for me) when I, in South Africa, and you, in Maine, were scrambling to get our essays into shape. I am very glad that you succeeded.

I enjoyed the parable about the economist, mathematician, and logician. Clearly, the logician was not a Bayesian and could not incorporate his prior information about the coloring of cows. Surprisingly, the mathematician seems to have been a Bayesian; and the economist a very poor one with ridiculous priors about the nature of cows in a region.

Your discussion of Bell's beables is interesting, and after reading a few pages in I feel that I could write an essay in response to this. The idea of assigning things, beables, properties is something I have given a lot of thought to. At this point, this idea that objects have positions in space and time, or have speeds or energy and momentum is clearly not right. Each of these 'properties' is observer-dependent, which means that they are not properties possessed by the objects in question, but instead represent a relationship between the object and the observer. This makes me feel more strongly that this is one of the problems of physics. These quantities represent relationships, not properties. It is possibly this fact that has led physics astray.

You now have me thinking about how one can conceive of my influence theory, which results in an emergent space-time, in terms of beables.

Thank you for an interesting, stimulating, and thoughtful essay!

Kevin Knuth

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Thanks Kevin! Hoping to get to your essay in the next week or two.

Anyway, I would be curious to know what you come up with in regard to beables within influence theory. I find beables attractive since I firmly believe in an objective reality, but I'm also not entirely married to the concept either. Really I've just begun to explore it in a bit more depth.

Anyway, I would be curious to know what you come up with in regard to beables within influence theory. I find beables attractive since I firmly believe in an objective reality, but I'm also not entirely married to the concept either. Really I've just begun to explore it in a bit more depth.

Ian,

If both 'tentative' Maxwell's and Quantum Theory appear incomplete, which would you suggest is most lacking in it's correspondence with nature? or perhaps 'misunderstood'?

And I have a problem with Beables I hope you can help with. I liked Bell and maybe-ables, but checking for answers to the above question I added Maxwell's 4-momenta states including 'curl' into Bohr's (no) starting assumptions for pair particles led to interaction momentum transfer issues. Everything turned into damn beables! I mean the whole ontological construction, like 3 great chains of beehives with clouds of fermions everywhere! I can rotate them any way I like (x,y,z) but they never go away. You can imagine the implications (honey pouring from every crevice!)

I'm still a bit shocked and amazed. I can't seem get away from them but I hope you can show me how. I tried the detection loophole but, to make it worse, Declan Traill's short essay gives a matching computer code and violation plot with CHSH>2 and steering violation >1. I checked Bells predictions and it did seem to match, including the 'amaze' bit, so it looks right. But you're the expert. Help needed!

I enjoyed the rest of your essay too and agree on universes, though did find a consistent shape and cyclic mechanism in a published paper. Would that qualify morphologically? I'll dig it out if you're interested.

Look forward to your advice about all those might justbe-ables.

Very best

Peter

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If both 'tentative' Maxwell's and Quantum Theory appear incomplete, which would you suggest is most lacking in it's correspondence with nature? or perhaps 'misunderstood'?

And I have a problem with Beables I hope you can help with. I liked Bell and maybe-ables, but checking for answers to the above question I added Maxwell's 4-momenta states including 'curl' into Bohr's (no) starting assumptions for pair particles led to interaction momentum transfer issues. Everything turned into damn beables! I mean the whole ontological construction, like 3 great chains of beehives with clouds of fermions everywhere! I can rotate them any way I like (x,y,z) but they never go away. You can imagine the implications (honey pouring from every crevice!)

I'm still a bit shocked and amazed. I can't seem get away from them but I hope you can show me how. I tried the detection loophole but, to make it worse, Declan Traill's short essay gives a matching computer code and violation plot with CHSH>2 and steering violation >1. I checked Bells predictions and it did seem to match, including the 'amaze' bit, so it looks right. But you're the expert. Help needed!

I enjoyed the rest of your essay too and agree on universes, though did find a consistent shape and cyclic mechanism in a published paper. Would that qualify morphologically? I'll dig it out if you're interested.

Look forward to your advice about all those might justbe-ables.

Very best

Peter

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Hmm. I'm not sure how something can "turn into" a beable. It seems to me that, in the sense meant by Bell, a beable is a feature of a theory. It's the ontology of that theory. Whether something is ontological or not within a given theory doesn't seem to have anything to do with what you can "do" with it in that theory. So whether something "goes away" or not depending on what you do with it doesn't determine whether it's a beable.

Ian,

I read Bells Be-ables a little more literally, as 'something that 'IS'. My point then is that if we substitute 'guesses' about particles and interactions for actual test states and mechanisms, which then*provides* the ontology.

I've just been pointed to the Poincare Sphere,with the 4 orthogonal conjugate vectors I identify in my experiment. THAT is one of the string of Beables' which reproduces QM's predictions.

Of course that's impossible you say. Well Bell didn't think so, and it seems he was right. I hope as the expert you'll have a careful check through and see if you can find a flaw. It may be quite important!

Very best

Peter

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I read Bells Be-ables a little more literally, as 'something that 'IS'. My point then is that if we substitute 'guesses' about particles and interactions for actual test states and mechanisms, which then

I've just been pointed to the Poincare Sphere,with the 4 orthogonal conjugate vectors I identify in my experiment. THAT is one of the string of Beables' which reproduces QM's predictions.

Of course that's impossible you say. Well Bell didn't think so, and it seems he was right. I hope as the expert you'll have a careful check through and see if you can find a flaw. It may be quite important!

Very best

Peter

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Ian,

....Fact is I describe an ontological sequence with a different starting assumption (as now found in OAM, not 'singlet,' 'supposed' or 'no assumed' states), which, like it or not, fully reproduces QM predictions. No silly assumptions are used and no silly outcome found.

If anyone can find a flaw wouldn't it be you? I'd be very grateful for your analysis.

I've just posted the below in my posts as it's impossible to reconstruct the ontological mechanism on a quick scan.

AS MOST STRUGGLE WITH THE CLASSICAL SEQUENCE (TO MUCH TO HOLD IN MIND ALL AT ONCE) A QUICK OUTLINE INTRO IS HERE;

1. Start with Poincare sphere OAM; with 2 orthogonal momenta pairs NOT 'singlets'.

2. Pairs have antiparalell axis (random shared y,z). (photon wavefront sim.)

3. Interact with identical (polariser electron) spheres rotatable by A,B.

4. Momentum exchange as actually proved, by Cos latitude at tan intersection.

5. Result; 'SAME' or 'OPP' vector Re-emit polarised with amplitude phase dependent.

6. Photomultiplier electrons give 2nd Cos distribution & 90o phase values.

7. The non detects are all below a threshold amplitude at either channel angle.

8. Statisticians then analyse using CORRECT assumptions about what's 'measured!

The numbers match CHSH>2 and steering inequality >1 As the matching computer code & plot in Declan Traill's short essay. All is Bell compliant as he didn't falsify the trick with reversible green/red socks (the TWO pairs of states).

After deriving it in last years figs I only discovered the Poincare sphere already existed thanks to Ulla M during this contest. I hope that helps introduce the ontology.

Peter

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....Fact is I describe an ontological sequence with a different starting assumption (as now found in OAM, not 'singlet,' 'supposed' or 'no assumed' states), which, like it or not, fully reproduces QM predictions. No silly assumptions are used and no silly outcome found.

If anyone can find a flaw wouldn't it be you? I'd be very grateful for your analysis.

I've just posted the below in my posts as it's impossible to reconstruct the ontological mechanism on a quick scan.

AS MOST STRUGGLE WITH THE CLASSICAL SEQUENCE (TO MUCH TO HOLD IN MIND ALL AT ONCE) A QUICK OUTLINE INTRO IS HERE;

1. Start with Poincare sphere OAM; with 2 orthogonal momenta pairs NOT 'singlets'.

2. Pairs have antiparalell axis (random shared y,z). (photon wavefront sim.)

3. Interact with identical (polariser electron) spheres rotatable by A,B.

4. Momentum exchange as actually proved, by Cos latitude at tan intersection.

5. Result; 'SAME' or 'OPP' vector Re-emit polarised with amplitude phase dependent.

6. Photomultiplier electrons give 2nd Cos distribution & 90o phase values.

7. The non detects are all below a threshold amplitude at either channel angle.

8. Statisticians then analyse using CORRECT assumptions about what's 'measured!

The numbers match CHSH>2 and steering inequality >1 As the matching computer code & plot in Declan Traill's short essay. All is Bell compliant as he didn't falsify the trick with reversible green/red socks (the TWO pairs of states).

After deriving it in last years figs I only discovered the Poincare sphere already existed thanks to Ulla M during this contest. I hope that helps introduce the ontology.

Peter

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Hello Ian,

I enjoyed your essay, it was a real pleasure to read.I liked also how you see the works of Wheeler and its geometrodynamics considering the wavesfunctions, it was a relevant Reading, I learn in the same time.

All the best in this contest

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I enjoyed your essay, it was a real pleasure to read.I liked also how you see the works of Wheeler and its geometrodynamics considering the wavesfunctions, it was a relevant Reading, I learn in the same time.

All the best in this contest

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Dear Ian,

I highly estimate you essay exelent.

It is so close to me. «From its earliest days nearly a century ago, quantum mechanics has proven itself to be a tremendously accurate yet intellectually unsatisfying theory to many». «A universe without structure, without elements is meaningless». «The universe’s existence is independent of our observation of it».

I hope that my modest achievements can be information for reflection for you.

Vladimir Fedorov

https://fqxi.org/community/forum/topic/3080

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I highly estimate you essay exelent.

It is so close to me. «From its earliest days nearly a century ago, quantum mechanics has proven itself to be a tremendously accurate yet intellectually unsatisfying theory to many». «A universe without structure, without elements is meaningless». «The universe’s existence is independent of our observation of it».

I hope that my modest achievements can be information for reflection for you.

Vladimir Fedorov

https://fqxi.org/community/forum/topic/3080

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Dear Ian

If you are looking for another essay to read and rate in the final days of the contest, will you consider mine please? I read all essays from those who comment on my page, and if I cant rate an essay highly, then I don’t rate them at all. Infact I haven’t issued a rating lower that ten. So you have nothing to lose by having me read your essay, and everything to...

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If you are looking for another essay to read and rate in the final days of the contest, will you consider mine please? I read all essays from those who comment on my page, and if I cant rate an essay highly, then I don’t rate them at all. Infact I haven’t issued a rating lower that ten. So you have nothing to lose by having me read your essay, and everything to...

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Dear Ian,

Bell's work takes centre-stage in my research, so your essay (already much annotated) is excellent for me. To keep it simple for now, here's how I parse your Abstract:

"From its earliest days nearly a century ago, quantum mechanics has proven itself to be a tremendously accurate yet intellectually unsatisfying theory to many." This issue is the focus of my research. Please...

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Bell's work takes centre-stage in my research, so your essay (already much annotated) is excellent for me. To keep it simple for now, here's how I parse your Abstract:

"From its earliest days nearly a century ago, quantum mechanics has proven itself to be a tremendously accurate yet intellectually unsatisfying theory to many." This issue is the focus of my research. Please...

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Dear Ian Durham, In the basis of the New Cartesian Physics is “true local realism”. For a long time believed that the Foundation for fundamental theories is matter, an attribute which had mass. Once there was a formula of mass – energy equivalence, and mass lost the status of a value characterizing the amount of matter, about it rarely began to remember and physics has lost the Foundation. Any theory of everything is created in such circumstances would not be fundamental. The principle of identity of space and matter Descartes, according to which physical space is matter and matter is space that moves, gives us the Foundation for fundamental theories.

The principle of identity of physical space and matter allows us to use physics to study living matter. For this we need to pay attention to the fact that matter within the body is the same as outside the body. Our brain creates an image of the outside world not within themselves and the space around them. This way the outside world has an active nature, as it controls the body.

New Cartesian Physics needs your support to develop further. Visit my page and give your assessment there.

I hope on highly appreciate her ideas.

FQXi Fundamental in New Cartesian Physics by Dizhechko Boris Semyonovich

I wish you success! Sincerely, Boris Dizhechko

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The principle of identity of physical space and matter allows us to use physics to study living matter. For this we need to pay attention to the fact that matter within the body is the same as outside the body. Our brain creates an image of the outside world not within themselves and the space around them. This way the outside world has an active nature, as it controls the body.

New Cartesian Physics needs your support to develop further. Visit my page and give your assessment there.

I hope on highly appreciate her ideas.

FQXi Fundamental in New Cartesian Physics by Dizhechko Boris Semyonovich

I wish you success! Sincerely, Boris Dizhechko

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Ian,

I won't comment or question as you seem to have disengaged and left many good ones above unanswered so it seems pointless.

Shame.

Richard.

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I won't comment or question as you seem to have disengaged and left many good ones above unanswered so it seems pointless.

Shame.

Richard.

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Hi Ian,

I'd hoped you'd answer mine, and the only other one seems to be Gordon Watson's. Richard was one of the few who made the effort to follow and check out the classical QM derivation and agreed it. Declan Traill's plot shows the correlations are correct with loophole closed, so the mechanism explains the low intensity geometry inadequate to trigger 'clicks' in terms of the minor axis of highly elliptical 'polarity'.

But Richard's not a full time professional in the field like yourself so your own unencumbered analysis would be greatly appreciated.

How familiar are you with the spin stats theorem SST? You'll probably know what I learned; that in the SST the SO(1,3) group can be decomposed into the direct product of two different SU(2) subgroups. The Lie algebras of the two different groups can be exchanged by hermitean conjugation. This implies that one SU(2) group is left handed and the other is right-handed. Also the Dirac spinor we're so fond of is actually a left-handed spinor stacked on top of a right-handed spinor (a 4-component spinor). The stacked spinors can be exchanged by hermitian conjugation.

One of the spinor representations (let's say the left-handed one) corresponds to a matter particle. The other (conjugate) representation corresponds to an antimatter particle. The Dirac equation is nothing more than a projection operator which projects out either the upper spinor or the lower one.

None of that is needed for the derivation ontology & mechanism and it's incomplete anyway, but can you see how it all corresponds?

All shocking I know, but now you've had a couple of weeks to get used to the new way of looking. Heisenberg 'position' was only a guess as 'momentum' seemed to have been 'taken', but that really means more 'orbital' position, which is the the 2nd orthogonal momentum. I can't recall; Did you see the non integer spin derivation & video?

Very Best

Peter

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I'd hoped you'd answer mine, and the only other one seems to be Gordon Watson's. Richard was one of the few who made the effort to follow and check out the classical QM derivation and agreed it. Declan Traill's plot shows the correlations are correct with loophole closed, so the mechanism explains the low intensity geometry inadequate to trigger 'clicks' in terms of the minor axis of highly elliptical 'polarity'.

But Richard's not a full time professional in the field like yourself so your own unencumbered analysis would be greatly appreciated.

How familiar are you with the spin stats theorem SST? You'll probably know what I learned; that in the SST the SO(1,3) group can be decomposed into the direct product of two different SU(2) subgroups. The Lie algebras of the two different groups can be exchanged by hermitean conjugation. This implies that one SU(2) group is left handed and the other is right-handed. Also the Dirac spinor we're so fond of is actually a left-handed spinor stacked on top of a right-handed spinor (a 4-component spinor). The stacked spinors can be exchanged by hermitian conjugation.

One of the spinor representations (let's say the left-handed one) corresponds to a matter particle. The other (conjugate) representation corresponds to an antimatter particle. The Dirac equation is nothing more than a projection operator which projects out either the upper spinor or the lower one.

None of that is needed for the derivation ontology & mechanism and it's incomplete anyway, but can you see how it all corresponds?

All shocking I know, but now you've had a couple of weeks to get used to the new way of looking. Heisenberg 'position' was only a guess as 'momentum' seemed to have been 'taken', but that really means more 'orbital' position, which is the the 2nd orthogonal momentum. I can't recall; Did you see the non integer spin derivation & video?

Very Best

Peter

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Hi Peter,

Well, to be perfectly honest, I'm really not entirely sure what you're trying to say. So when you ask if I see how it all corresponds, my response is how all *what* corresponds?

Ian

Well, to be perfectly honest, I'm really not entirely sure what you're trying to say. So when you ask if I see how it all corresponds, my response is how all *what* corresponds?

Ian

Ian,

My Feb 24 post outlines the classical mechanism in the essay.

I'm saying that if we start with the Maxwell/(Poincare Sphere) 4 momenta state for electrons and the pairs (rather than 'no' assumption or superposed 'singlet' states) then with a simple momentum transfer ('measurement') mechanism, the entire tranche of QM predictions and findings can be reproduced with classical mechanics & modern photonics.

As a good scientist I'm sure you won't let shock or cognitive dissonance make you dismiss the concept or run and hide. The computer plot confirms the result, so the question is, as an expert, can you identify where the mechanism may be 'wrong' or what it 'misses'?

The key to EPR resolution is that A,B polariser field directions are reversible, and the 'measurement' on interaction is either 'SAME' or 'OPPOSITE' vector (then an amplitude pair subject to y,z axis ellipticity on orthogonal axes).

So if we have A,B +,-, either can reverse setting angle to get A,B +,+ or -,-. Cos distributions are implicit in the Poincare sphere (as I show), applied a 2nd time at the photomultiplier. In between +1,-1 are then Bayesian distributions, so 'undecidable' at 90o.

So beyond a local interference range NO 'action at a distance' is required to explain the outcomes!!

This is such a leap of understanding it needs an acknowledged expert to either falsify or confirm it. Not that difficult a task!

Very best

Peter

PS Do contact me direct, on; pj.ukc.edu@physics.org

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My Feb 24 post outlines the classical mechanism in the essay.

I'm saying that if we start with the Maxwell/(Poincare Sphere) 4 momenta state for electrons and the pairs (rather than 'no' assumption or superposed 'singlet' states) then with a simple momentum transfer ('measurement') mechanism, the entire tranche of QM predictions and findings can be reproduced with classical mechanics & modern photonics.

As a good scientist I'm sure you won't let shock or cognitive dissonance make you dismiss the concept or run and hide. The computer plot confirms the result, so the question is, as an expert, can you identify where the mechanism may be 'wrong' or what it 'misses'?

The key to EPR resolution is that A,B polariser field directions are reversible, and the 'measurement' on interaction is either 'SAME' or 'OPPOSITE' vector (then an amplitude pair subject to y,z axis ellipticity on orthogonal axes).

So if we have A,B +,-, either can reverse setting angle to get A,B +,+ or -,-. Cos distributions are implicit in the Poincare sphere (as I show), applied a 2nd time at the photomultiplier. In between +1,-1 are then Bayesian distributions, so 'undecidable' at 90o.

So beyond a local interference range NO 'action at a distance' is required to explain the outcomes!!

This is such a leap of understanding it needs an acknowledged expert to either falsify or confirm it. Not that difficult a task!

Very best

Peter

PS Do contact me direct, on; pj.ukc.edu@physics.org

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Peter,

Let's start with your first sentence:

"I'm saying that if we start with the Maxwell/(Poincare Sphere) 4 momenta state for electrons and the pairs (rather than 'no' assumption or superposed 'singlet' states) then with a simple momentum transfer ('measurement') mechanism, the entire tranche of QM predictions and findings can be reproduced with classical mechanics & modern photonics."

My first question is, I assume that you're talking about the Poincaré sphere from optics? What does that have to do with 4-momentum states? And I don't understand what you mean by "and the pairs".

Ian

Let's start with your first sentence:

"I'm saying that if we start with the Maxwell/(Poincare Sphere) 4 momenta state for electrons and the pairs (rather than 'no' assumption or superposed 'singlet' states) then with a simple momentum transfer ('measurement') mechanism, the entire tranche of QM predictions and findings can be reproduced with classical mechanics & modern photonics."

My first question is, I assume that you're talking about the Poincaré sphere from optics? What does that have to do with 4-momentum states? And I don't understand what you mean by "and the pairs".

Ian

Finally it was an ox, and the mathematician, the economist, and

the logician were all wrong.... ;-)

Quantum mechanics is a theory about quantum motion. Measurements would be explained by the theory.

Bells' beables aren't really needed or useful, and several of his definitions only add confusion to a topic which already has a good amount of it.

Indeed the universe is colloquially "the totality of everything that

exists". There is no problem with the idea of multiple 'universes'; they would be simply regions of the real universe. The problem here is on Everettians that want to change the meaning of universe to pretend that there are many.

The operational definition confounds the universe with the observable universe.

Defining the universe based in a based on a wavefunction is wrong. First because wavefunction is a definition of a state of an object not the object. Second, because wavefunctions only can describe some quantum states. And using wavefunctions associated to the WdW equation even adds more problems, because the equation is wrong, as even one of his authors admitted.

"IS THE UNIVERSE FUNDAMENTAL?" No. The universe is a collection of particles.

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the logician were all wrong.... ;-)

Quantum mechanics is a theory about quantum motion. Measurements would be explained by the theory.

Bells' beables aren't really needed or useful, and several of his definitions only add confusion to a topic which already has a good amount of it.

Indeed the universe is colloquially "the totality of everything that

exists". There is no problem with the idea of multiple 'universes'; they would be simply regions of the real universe. The problem here is on Everettians that want to change the meaning of universe to pretend that there are many.

The operational definition confounds the universe with the observable universe.

Defining the universe based in a based on a wavefunction is wrong. First because wavefunction is a definition of a state of an object not the object. Second, because wavefunctions only can describe some quantum states. And using wavefunctions associated to the WdW equation even adds more problems, because the equation is wrong, as even one of his authors admitted.

"IS THE UNIVERSE FUNDAMENTAL?" No. The universe is a collection of particles.

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Dear Ian; further to my earlier comments, please: Since **we cannot both be right**, would you mind commenting on my half-page refutation of Bell's theorem?

See ¶13 in More realistic fundamentals: quantum theory from one premiss.

NB: I clarify Bell's 1964-(1) functions by allowing that, pairwise, the HV (λ) heading toward Alice need no be the same as that (μ) heading toward Bob; ie, it is sufficient that they are highly correlated via the pairwise conservation of total angular momentum. Thus, consistent with Bell's 1964-(12) normalization condition:

Further, in my analysis: after leaving the source, each pristine particle remains pristine until its interaction with a polarizer. Then, in that I allow for perturbative interactions, my use of delta-functions represents the perturbative impact of each such interaction.

My equation (26) then represents the distribution of perturbed particles proceeding to Alice's analyzer. Thus (with b and μ similarly for Bob):

PS: Bridging the continuous and the discrete -- and thus Bell's related indifference -- integrals are used here by me for generality. Then, since the arguments of Bell's 1964-(1) functions include a continuous variable λ, ρ(λ) in Bell 1964-(2) must include delta-functions. Thus, under Bell's terms, my refutation is both mathematically and physically significant.

PLEASE: When you reply -- or if you will not -- please drop a note on my essay-thread so that I receive an alert. Many thanks; Gordon

Current FQXi essay

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See ¶13 in More realistic fundamentals: quantum theory from one premiss.

NB: I clarify Bell's 1964-(1) functions by allowing that, pairwise, the HV (λ) heading toward Alice need no be the same as that (μ) heading toward Bob; ie, it is sufficient that they are highly correlated via the pairwise conservation of total angular momentum. Thus, consistent with Bell's 1964-(12) normalization condition:

Further, in my analysis: after leaving the source, each pristine particle remains pristine until its interaction with a polarizer. Then, in that I allow for perturbative interactions, my use of delta-functions represents the perturbative impact of each such interaction.

My equation (26) then represents the distribution of perturbed particles proceeding to Alice's analyzer. Thus (with b and μ similarly for Bob):

PS: Bridging the continuous and the discrete -- and thus Bell's related indifference -- integrals are used here by me for generality. Then, since the arguments of Bell's 1964-(1) functions include a continuous variable λ, ρ(λ) in Bell 1964-(2) must include delta-functions. Thus, under Bell's terms, my refutation is both mathematically and physically significant.

PLEASE: When you reply -- or if you will not -- please drop a note on my essay-thread so that I receive an alert. Many thanks; Gordon

Current FQXi essay

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Hi Gordon,

I will have to read your essay, but I will say that you can't really "refute" Bell's theorem. It's just a theorem. What you seem to be presenting is an alternate view, i.e. that Bell's derivation of his inequalities used a certain set of conditions that you think does not capture all of reality. There's nothing necessarily wrong with that, but that doesn't mean Bell was necessarily wrong either.

Anyway, I will try to get to reading your essay soon.

Ian

I will have to read your essay, but I will say that you can't really "refute" Bell's theorem. It's just a theorem. What you seem to be presenting is an alternate view, i.e. that Bell's derivation of his inequalities used a certain set of conditions that you think does not capture all of reality. There's nothing necessarily wrong with that, but that doesn't mean Bell was necessarily wrong either.

Anyway, I will try to get to reading your essay soon.

Ian

Dear Ian,

Congratulations of your success in the essay contest!

Is it too much for me to now hope that this success has bought you some time to defend your view re Bell against my own: so that my essay-writing might improve?

For, in the context of EPRB, Bell believed: "In a theory in which parameters are added to quantum mechanics to determine the results of individual measurements, without changing the statistical predictions, there must be a mechanism whereby the setting of one measuring device can influence the reading of another instrument, however remote. Moreover, the signal involved must propagate instantaneously, so that such a theory could not be Lorentz invariant.” Subsequently, by his own admission, he lived with the unresolved dilemma of AAD: yes or no.

In my Lorentz-invariant theory -- and in the context of EPRB -- I bring local (non-contextual) hidden-variables to quantum mechanics to determine the results of individual measurements without changing the statistical predictions. So it seems to me that AAD and well-known Bellian inequalities and claims are thereby refuted.

With my best regards, please let me know if you'll not be critiquing my view; Gordon

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Congratulations of your success in the essay contest!

Is it too much for me to now hope that this success has bought you some time to defend your view re Bell against my own: so that my essay-writing might improve?

For, in the context of EPRB, Bell believed: "In a theory in which parameters are added to quantum mechanics to determine the results of individual measurements, without changing the statistical predictions, there must be a mechanism whereby the setting of one measuring device can influence the reading of another instrument, however remote. Moreover, the signal involved must propagate instantaneously, so that such a theory could not be Lorentz invariant.” Subsequently, by his own admission, he lived with the unresolved dilemma of AAD: yes or no.

In my Lorentz-invariant theory -- and in the context of EPRB -- I bring local (non-contextual) hidden-variables to quantum mechanics to determine the results of individual measurements without changing the statistical predictions. So it seems to me that AAD and well-known Bellian inequalities and claims are thereby refuted.

With my best regards, please let me know if you'll not be critiquing my view; Gordon

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