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Hyper-dimensional Biasing in Feynman Path Integrals: A Framework for Entanglement and Non-Locality

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Found this paper while searching for hyperdimensional solutions for non-locality:

https://figshare.com/articles/journal_contribution/Hyperdimensional_Biasing_Path_Integrals_A_Framework_for_Entanglement_and_Non-Locality_pdf/29304536?file=55588808

It does make sense that a hidden geometry could be at play, and it's usually destructive, which is why gauge phenomena can't move in a hyper direction. But, there are some other implications about non-locality, such as the entire universe is folded or crumpled up into a nanoscale hyperdimensional volume, or did I misunderstand the paper?

A hidden geometry is usually destructive?

What are gauge phenomena?

You should consider the possibility that you misunderstood the paper and the paper also misunderstood quantum mechanics. Those are by no means mutually exclusive.

I'm old enough to have been known to have misunderstood a misunderstanding.

Can you give us the low-down?

  • Author
40 minutes ago, joigus said:

A hidden geometry is usually destructive?

What are gauge phenomena?

You should consider the possibility that you misunderstood the paper and the paper also misunderstood quantum mechanics. Those are by no means mutually exclusive.

I'm old enough to have been known to have misunderstood a misunderstanding.

Can you give us the low-down?

The paper demonstrates that the Feynman Integral formalism can work in hyperdimensions, where the probability waves usually cancel out the hyperdimensional path, but under the circumstances of entanglement, the amplitude waves reinforce the hyperdimensional path, allowing for the two particles to interact, where opposite state amplitudes of particles are favored. The paper uses the "Flatlander" analogy of folding 2 dimensions in 3D space, which allows for instantaneous exchange across 3D space. So, too, could 3D space fold into a hyper-dimensional volume, allowing for instantaneous exchange across 4D space, or if we include time, 5D space. So, imagine you tightly crumple a sheet of paper into a very small ball, if you were to use a laser to pass through the ball of paper the time to traverse the small diameter of the ball of paper would be much faster than if the paper were unfolded and the laser passed across the sheet. Imagine that the ball of paper is squeezed into a microscopic diameter, or even at a nano-scale the time for a laser to pass through it would be in attoseconds! Non-locality happens in attoseconds, meaning, if the author is correct, the entire universe is squeezed into a very small hyper-dimensional volume, similar to the crumpled paper. There is no force that would push apart space-time as it folds in the higher-dimensional space.

Gauge phenomena are the effects of herds of atoms as opposed to quantum effects that happen at the atomic or subatomic level.

Edited by waitaminute
typo

11 minutes ago, waitaminute said:

allowing for instantaneous exchange across 4D space, or if we include time, 5D space.

There is no instantaneous (non-local) "exchange" that we know of in quantum mechanics. We cannot "exchange" anything outside of the future causal cone of an event. No can do.

13 minutes ago, waitaminute said:

Gauge phenomena are the effects of herds of atoms as opposed to quantum effects that happen at the atomic or subatomic level.

The (local) gauge is the particular choice of the local phase of the wave function. The (global) gauge is the particular choice of the global phase of the wave function.

How could an arbitrary choice give rise to a phenomenon? Gauge is beyond phenomena. It's been described as a "redundancy", or an "arbitrariness".

I don't understand.

  • Author
10 minutes ago, joigus said:

There is no instantaneous (non-local) "exchange" that we know of in quantum mechanics. We cannot "exchange" anything outside of the future causal cone of an event. No can do.

The (local) gauge is the particular choice of the local phase of the wave function. The (global) gauge is the particular choice of the global phase of the wave function.

How could an arbitrary choice give rise to a phenomenon? Gauge is beyond phenomena. It's been described as a "redundancy", or an "arbitrariness".

I don't understand.

Non-locality is real or I should say Bell's inequalities are real, and was proven by Aspect, Clauser, and Zeilinger, who won the Nobel Prize in 2022.

Edited by waitaminute

4 hours ago, waitaminute said:

Non-locality is real or I should say Bell's inequalities are real, and was proven by Aspect, Clauser, and Zeilinger, who won the Nobel Prize in 2022.

But Bell's inequalities do not imply non-locality in the sense of an interaction between distant locations. The no-communication theorem of quantum mechanics forbids this type of non-local interaction. In the absence of non-locality, Bell's inequalities do seem to deny counterfactual definiteness. The notion of counterfactual definiteness suggests that quantum wavefunctions represent a lack of knowledge rather than the reality itself, and therefore quantum mechanics would seem to deny counterfactual definiteness rather than deny locality.

  • Author
1 hour ago, KJW said:

But Bell's inequalities do not imply non-locality in the sense of an interaction between distant locations. The no-communication theorem of quantum mechanics forbids this type of non-local interaction. In the absence of non-locality, Bell's inequalities do seem to deny counterfactual definiteness. The notion of counterfactual definiteness suggests that quantum wavefunctions represent a lack of knowledge rather than the reality itself, and therefore quantum mechanics would seem to deny counterfactual definiteness rather than deny locality.

Wrong, non-locality is a fact, proven by Aspect, Clauser, and Zeilinger, who won the Nobel Prize in 2022 for it.

7 minutes ago, waitaminute said:

Wrong, non-locality is a fact, proven by Aspect, Clauser, and Zeilinger, who won the Nobel Prize in 2022 for it.

I think the point is that the non-locality of entangled states in QM does not imply any sort of interaction between different spatial locations, as you are suggesting.

  • Author

Ah...no, it actually does, and is why Aspect, Clauser, and Zeilinger, won the Nobel Prize in 2022 for proving it. It literally means that causality can be different with entanglement. The paper I cite, however, demonstrates that classical causality is preserved thru the Feynman integral formalism.

Edited by waitaminute

51 minutes ago, waitaminute said:

Wrong, non-locality is a fact, proven by Aspect, Clauser, and Zeilinger, who won the Nobel Prize in 2022 for it.

Wrong. What's a fact is incompatibility of behaviour of quantum states with local realism. Subtle, but important difference that thousands upon thousands of people misunderstand constantly. We've had some of that here.

Edited by joigus
correction

  • Author
1 minute ago, joigus said:

Wrong. What's a fact is incompatibility of behaviour of quantum states with local realism. Subtle, but different importance that thousands upon thousands of people misunderstand constantly. We've had some of that here.

Again, why Aspect, Clauser, and Zeilinger, won the Nobel Prize in 2022 for proving non-locality is real. Meaning two particles separated by any distance, if entangled, can affect each other within attoseconds!

Just now, waitaminute said:

Again, why Aspect, Clauser, and Zeilinger, won the Nobel Prize in 2022 for proving non-locality is real. Meaning two particles separated by any distance, if entangled, can affect each other within attoseconds!

They won the Nobel price for reasons other than what you say, because you sorrily misunderstand what they proved.

1 minute ago, waitaminute said:

No, wait. You might learn something here:

Then read The Quark and the Jaguar. Then leave all your ignorance about this matter in the past. Nothing gets from A to B. All the weirdness started in one point in space. Why would it be telling us anything about non-local correlations?

Zeilinger himself recognised this. But the spooky (and profoundly misleading) term "non-local" dies hard!

Edited by joigus

  • Author
1 minute ago, joigus said:

No, wait. You might learn something here:

Then read The Quark and the Jaguar. Then leave all your ignorance about this matter in the past. Nothing gets from A to B. All the weirdness started in one point in space. Why would it be telling us anything about non-local correlations?

Zeilinger himself recognised this. But the spooky (and profoundly misleading) term "non-local" dies hard!

Dude, that video is 9 years old, read the press release from https://www.nobelprize.org/prizes/physics/2022/press-release/.

2 minutes ago, joigus said:

No, wait. You might learn something here:

Edited by waitaminute

Just now, waitaminute said:

Dude, that video is 9 years old, read the press realise from https://www.nobelprize.org/prizes/physics/2022/press-release/.

Dude, we don't know anything today we didn't know back then about this particular point. And Gell-Mann explains it very eloquently indeed.

Learn some physics.

And read what you're told. Here, again:

Nothing gets from A to B. All the weirdness started in one point in space. Why would it be telling us anything about non-local correlations?

Entangled states are prepared at one and only point in space-time. The fact that people still think there's something non-local going on is a testament to the power of words. Nothing more.

  • Author
4 minutes ago, joigus said:

Dude, we don't know anything today we didn't know back then about this particular point. And Gell-Mann explains it very eloquently indeed.

Learn some physics.

And read what you're told. Here, again:

Nothing gets from A to B. All the weirdness started in one point in space. Why would it be telling us anything about non-local correlations?

Entangled states are prepared at one and only point in space-time. The fact that people still think there's something non-local going on is a testament to the power of words. Nothing more.

From the press release, if you had read it you wouldn't be arguing:

"Some loopholes remained after John Clauser’s experiment. Alain Aspect developed the setup, using it in a way that closed an important loophole. He was able to switch the measurement settings after an entangled pair had left its source, so the setting that existed when they were emitted could not affect the result.

Using refined tools and long series of experiments, Anton Zeilinger started to use entangled quantum states. Among other things, his research group has demonstrated a phenomenon called quantum teleportation, which makes it possible to move a quantum state from one particle to one at a distance."

3 minutes ago, waitaminute said:

From the press release, if you had read it you wouldn't be arguing:

"Some loopholes remained after John Clauser’s experiment. Alain Aspect developed the setup, using it in a way that closed an important loophole. He was able to switch the measurement settings after an entangled pair had left its source, so the setting that existed when they were emitted could not affect the result.

Using refined tools and long series of experiments, Anton Zeilinger started to use entangled quantum states. Among other things, his research group has demonstrated a phenomenon called quantum teleportation, which makes it possible to move a quantum state from one particle to one at a distance."

I know all that, "dude". I'll wait for your doh! moment, don't worry.

40 minutes ago, waitaminute said:

Ah...no, it actually does, and is why Aspect, Clauser, and Zeilinger, won the Nobel Prize in 2022 for proving it. It literally means that causality can be different with entanglement. The paper I cite, however, demonstrates that classical causality is preserved thru the Feynman integral formalism.

I think KJW's point about wave functions representing a state of knowledge about a system, rather than set of physical properties, is key.

  • Author
6 minutes ago, joigus said:

I know all that, "dude". I'll wait for your doh! moment, don't worry.

I think you're the one that's getting the doh moment. But in any case, the higher correlation argument is what the paper I found argues, and any previous notion of a hidden variable was assumed to be local at the point of entanglement and never of a hyper-dimensional nature.

"I think KJW's point about wave functions representing a state of knowledge about a system, rather than set of physical properties, is key."

And from a knowledge perspective, it's wrong because of the randomness of how QM behaves. So it doesn't matter that if you know a ball in one box is white, the other is going to be black, why? Because the entangled states follow the QM probabilities, where the diametric states are simply a favored amplitude, not always a consistent one!

So, if a hyper-dimension is explored and the fact that the effects do take time, attoseconds, then the higher correlation can indeed be explained by a hidden higher dimension geometry where the diametric states are a favored amplitude.

21 minutes ago, waitaminute said:

And from a knowledge perspective, it's wrong because of the randomness of how QM behaves.

No. @KJW 's point is deeper than you think. QM is not a random theory. It is a deterministic theory (with a huge arbitrariness) that gives rise to all the microscopic randomness by way of this element (extraneous to the dynamical theory itself) that we call measurements.

Oh, and there's nothing non-local about it. Not a bit.

4 hours ago, waitaminute said:

Again, why Aspect, Clauser, and Zeilinger, won the Nobel Prize in 2022 for proving non-locality is real. Meaning two particles separated by any distance, if entangled, can affect each other within attoseconds!

4 hours ago, waitaminute said:

The press release does not mention "local" or any word containing "local".

Edited by KJW

3 hours ago, waitaminute said:

a phenomenon called quantum teleportation, which makes it possible to move a quantum state from one particle to one at a distance."

Quantum teleportation uses a classical communication channel as well as a quantum channel to transfer information about the quantum state to the other location.

  • Author
4 hours ago, joigus said:

No. @KJW 's point is deeper than you think. QM is not a random theory. It is a deterministic theory (with a huge arbitrariness) that gives rise to all the microscopic randomness by way of this element (extraneous to the dynamical theory itself) that we call measurements.

Oh, and there's nothing non-local about it. Not a bit.

1 hour ago, KJW said:

The press release does not mention "local" or any word containing "local".

1 hour ago, KJW said:

The press release does not mention "local" or any word containing "local".

Scientific American
No image preview

How Einstein Revealed the Universe's Strange "Nonlocality"

Our sense of the universe as an orderly expanse where events happen in absolute locations is an illusion
18 minutes ago, KJW said:

Quantum teleportation uses a classical communication channel as well as a quantum channel to transfer information about the quantum state to the other location.

Ghost imaging doesn't require transfer of information about a quantum state....

Edited by waitaminute

In so-called quantum teleportation, the measurement outputs must be sent at regular speeds (as @KJW told you). We've discussed this before on the forums. There is no teleportation of anything and no violation of locality.

But, as I told you, misnomers die hard.

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