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Questions tagged [non-locality]

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4
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144 views

Non-local field redefinition and effects on path-integral measure

Consider the partition function $$ Z[0] = \int \left[\mathcal{D}A_\mu\right]\left[\mathcal{D}\pi\right] e^{-i \int d^4x \left(-\frac{1}{2}(\partial\pi)^2-\frac{1}{4}F_{\mu\nu}F^{\mu\nu}+ \frac{a}{M^2}...
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25 views

Non-locality of the Madelung equations?

As far as I understand, the Madelung equations $$ \frac{\partial \rho}{\partial t} + \nabla \cdot \rho \mathbf{u} = 0 \\ \frac{\partial \mathbf{u}}{\partial t} + \mathbf{u} \cdot \nabla \mathbf{u} = -\...
2
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0answers
49 views

Does a pilot-wave theory need to be stochastic in a discrete space-time?

I have found an article about Bohmian mechanics on a lattice with discrete space and time, the link of which is given below: https://arxiv.org/abs/1606.02883 Here the motion of quantum particles is ...
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0answers
41 views

Have fractional order differential models been explored as an alternative to standard gravitational field theory?

Since Einstein introduced his field equations and general theory of relativity, experimental evidence, at least on the cosmic scale has repeatedly supported the theory. Nevertheless, many seeking to ...
3
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2answers
194 views

Decoherence: faster than light?

The answer to this question suggest that one can solve the measurement problem by decoherence. If I understand it correctly the decoherence appears when the quantum state interacts with the ...
2
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1answer
83 views

The non-locality of Quantum Mechanics

I often heard physicists mentioning the EPR paradox or the quantum entanglement when talking about the non-locality of quantum mechanics, but wasn't quantum mechanics already non-local from the ...
9
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3answers
205 views

How exactly does the proof of Bell's theorem fail if you remove the locality assumption?

In this paper Bell derives his famous inequality using the assumtions of locality and realism. In order to understand how the locality assumption affects the derivation of the inequality, and why it ...
1
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1answer
38 views

Recharacterizing spooky action at a distance as a time loop invariant?

Caveat: I'm not a physicist and am a little fuzzy on what exactly what I'm asking here. But I'm hoping someone smarter than me can at least clarify (or dismiss) the question as stupid... :) This ...
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0answers
70 views

Is there a relation between the factorisation of the joint conditional probability distribution and Bell inequality?

I'm approaching the study of Bell's inequalities and I understood the reasoning under the Bell theorem (pdf : https://cds.cern.ch/record/111654/files/vol1p195-200_001.pdf) and how the postulate of ...
3
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0answers
75 views

Non-local field theory (of Jaffe type) vs strings

As it is well known expectation values of fields are distributions. One usually works with tempered distributions or even with Jaffe fields (https://doi.org/10.1103/PhysRev.158.1454), all defining ...
5
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1answer
64 views

In a Bell scenario, why can correlations be nonlocal only if there are at least two measurement settings to choose from?

In (Brunner et al. 2013), the authors mention (end of pag. 6) that a set of correlations $p(ab|xy)$ can be nonlocal only if $\Delta\ge2$ and $m\ge2$, where $\Delta$ is the number of measurement ...
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0answers
112 views

Local determinism vs. Local realism vs. Local causality

I found the following definitions for the three different terms. Do you find these definitions exhaustive, or can you suggest more precise formulations? Quoting the wikipedia page on Local realism: ...
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0answers
47 views

Can local hidden variables models be ruled out without invoking expectation values?

Bell's inequalities, in their standard form, are a statement about the limitations faced by a probability distribution that can be written as $$p(a,b|x,y)=\sum_\lambda p(\lambda) p(a,b|x,y,\lambda)=\...
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16 views

On the entanglement of photons polarization

I am trying to make my perception evolve to include non-locality, and this idea is one of the last that I want to invalidate in order to get there. When we emit two entangled photons and test their ...
4
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2answers
113 views

Can non-locality be considered an instantaneous propagation of the field?

I've read the article Quantum Entanglement, which is a summary of the basics of non-locality, as well a claim for the first "real" proof of its existence. I also have some background from self-...
4
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0answers
65 views

Decomposition of rank-2 field and local interactions

Any rank-2 tensor can be decomposed in the following way $$ \phi_{\mu\nu} =\phi_{\mu\nu}^{TT} + \partial_{(\mu}\xi_{\nu)} +\frac{1}{4}T_{\mu\nu}s+\frac{1}{4}L_{\mu\nu}(w-3s) $$ where $\phi_{\mu\nu}^{...
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2answers
58 views

Does photon absorption annihilate the associated EM wave instantly?

My Understanding A single photon has an associated electromagnetic wave. The wave is spread out in space, but the photon is considered a point particle. If the photon is absorbed, the entire wave ...
3
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2answers
112 views

How to deduce quantum non-locality from indeterminism?

In the paper ''Quantum non-locality as an axiom'' (Popescu, S. & Rohrlich, D. Found Phys (1994) 24: 379. https://doi.org/10.1007/BF02058098), it is stated that the conventional formalism of ...
4
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1answer
160 views

Why can't Faddeev-Popov ghosts be replaced with bosons?

Faddeev-Popov ghosts are introduced in the quantization of Yang-Mills theory to absorb the Faddeev-Popov determinant into the action, $$\det \Delta_{\text{FP}} = \int \mathcal{D} \bar{c} \mathcal{D} c ...
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209 views

Local and Non-Local Potentials

Can anybody explain the difference and concepts between local and non-local potentials in light of quantum mechanics?
0
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1answer
51 views

Finding the cost functional of a car-following model [closed]

I have a car-following model with delay $\ddot{x}_n(t)=\lambda [\dot{x}_{n-1}(t-T)-\dot{x}_{n}(t-T)]$, where $\ddot{x}$ is the acceletation, $\dot{x}_{n-1}-\dot{x}_{n}$ is the relative velocity, $\...
0
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2answers
78 views

EPR-Bohm paradox and Robertson uncertainty relation [closed]

Consider Bohm's version of the EPR paradox, where spin-1/2 are used. The bipartite system is in the state $$ \vert \Psi\rangle = \dfrac{1}{\sqrt{2}} \left( \vert \uparrow_x \rangle_A \vert \...
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0answers
50 views

Intuition behind non-local stress tensor

Starting from the following Reisz Fractional Integro-differential formula (see for example https://www.amazon.com/Fractional-Integrals-Derivatives-Theory-Applications/dp/2881248640, chapter 25) $$ I^{...
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0answers
85 views

Is there any basis in stating there are different levels of 'locality' or 'reality', within physics or physical theories?

EPR’s reality criterion and quantum realism has this paragraph (the paper has 0 citations, and I'm personally happy to call this metaphysics, but still!): A popular interpretation of Bell’s theorem ...
1
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1answer
68 views

Are contextual theories non-local and vice-versa?

I am wondering if every contextual theory that reproduces QM is NON-local and reciprocally. Otherwise, when is contextuality equivalent to non-locality? And moreover, how much nonlocality is encoded ...
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0answers
58 views

What's a comprehensive review of the implications of Bell-nonlocality on our notion of reality / Weltanschauung?

I am looking for a (preferably peer-reviewed) article that summarizes: the historic debates surrounding Bell-nonlocality, how nonlocality can/not be reconciled with our notation of reality, and ...
-1
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1answer
93 views

What is space according to quantum mechanics?

We have a pretty good idea what space is in general relativity, yet the strange fact of non-locality in quantum mechanics tells a different story. Interestingly enough this non-locality doesn't seem ...
1
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3answers
147 views

Problem with argument for the existence of the electric field

In the Extended Third Edition of "Physics for Engineers and Scientists" by Ohanian and Markert (pp. 722-723), it is written: According to the naive interpretation of Coulomb’s Law, the electric ...
2
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1answer
101 views

How to build an Elitzur–Vaidman bomb tester?

I would like to personally recreate the Elitzur–Vaidman bomb tester experiment. Is that generally possible with maybe only a few thousand dollars to invest or maybe even for a few hundred? Any ...
13
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2answers
988 views

Locality in QFT vs “non-local” in QM

In quantum mechanics (QM), teacher always emphasizes on the "weird" parts, like EPR paradox, Bell inequality and so on. The Bell inequality tells us that QM is either nonlocal or non-realistic or both....
1
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1answer
159 views

How can quantum entanglement not be non-local?

I know this kind of question has been brought up many times.I have read many posts here regarding this but I still have a problem with a certain aspect of it so please bear with me. Lets consider the ...
0
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0answers
83 views

“Logical Conclusions” arising from hypothetical wormholes

EDIT In eternal (time independent) Schwarzschild black hole contains a wormhole called an Einstein-Rosen bridge. But since no real black hole is eternal, real black holes do not contain any ...
1
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1answer
249 views

What exactly are the high energy problems between general relativity and quantum field theory? [duplicate]

I know there are many questions on physics stack exchange devoted to the question of quantum gravity and reconciling GR and QFT, but don't mark this as a duplicate because my question is a bit more ...
6
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2answers
206 views

Is there non-locality in the AdS/CFT?

Many String theorists are trying to restore bulk locality in the AdS/CFT. So does that mean the CFT, the boundary, is non-local? Does matter travel faster than light on the CFT?
5
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1answer
216 views

Non-local field redefinition and $S$-matrix

It is known that for local field redefinitions for which the LSZ formula is valid: $$\langle 0|\phi(x)|p\rangle \neq 0$$ field redefinitions don't change the S-matrix. (See QMechanic's answer to ...
2
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1answer
289 views

How can non-locality of entanglement be explained only in terms of correlation?

I'd like to ask a very specific question about the entanglement nonlocality. I know that it is not possible to send a faster than light signal using this phenomenon, so that's not what I'm asking ...
2
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0answers
124 views

Are all instances of quantum non-locality problem artifacts of the use of classical concepts in quantum physics?

Consider experiments involving entangled spins, say two-spin 1/2 particles in the singlet state: $$\left|\psi\right> =\frac{1}{\sqrt{2}}\left[\left|\uparrow\downarrow\right> - \left|\downarrow\...
1
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1answer
40 views

Dimension of joint probability space in the Bell Scenario

In the Bell(CHSH) scenario with the normal two qubits+two measurement settings, how does the dimension of the joint probability space $ P(ab|xy)$ drops from 16 to 8? In general, for two d-dimensional ...
3
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0answers
123 views

Why Shy away from non-local nature of gravitational energy/momentum?

Feel free to tear me a new one, This is something that has been bothering me a while. The very nature of attempting to write gravitational energy/momentum (called the stress energy pseudotensor), ...
1
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1answer
136 views

Local and non-local counterterms in the ultraviolet and infrared limits of a quantum field theory

These is a question about the renormalization of a quantum field theory. See below equation (19.3) in page 176 of Thomas Hartman's notes on Quantum Gravity and Black Holes. When we renormalize a ...
1
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1answer
43 views

Does Bell's theorem include causal networks?

I am not an expert, so by causal networks I mean whatever it is that Wolfram talks about in its book. Regardless of the official definition, it basically means that spacetime is an emergent property ...
3
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1answer
199 views

Why infinite order derivative in Lagrangian density implies non-local?

There is a homework in field theory. It says that negative order of derivative( such as $\frac{1}{\nabla^2}$), fraction order of derivative ( such as $\nabla^{2/3}$ ) and infinite order derivative in ...
3
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0answers
146 views

Difference between PR correlations and entanglement correlations?

(As pointed out by helpful users, one of the bolded claims is interpretation dependent. Therefore, unless otherwise specified, Copenhagen interpretation is used throughout) Recall that for classical ...
3
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1answer
239 views

Does a state need to be entangled for it to produce nonlocal correlations?

I was reading the Wiki on quantum non-locality and saw this near the bottom: While it is true that a pure bipartite quantum state must be entangled in order for it to produce nonlocal correlations,...
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38 views

Does particle bounced from the array of atoms sums their spins

Question is based on the ideas from 1) R. Feynman QED-Strange theory of Light. Light goes via all possible paths (e.g. reflects from all parts of the mirror.) 2) M. Kaku Visions. Photon bounced off ...
0
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1answer
759 views

If Pilot Wave Theory is non-local, how does the pilot wave change over time?

My understanding is that Bohmian Mechanics (pilot wave theory) is non-local, meaning that effects propagate faster than light. Are these effects in fact instantaneous in that model? How would an ...
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1answer
154 views

Entanglement = Steering = Non-Locality?

For a simple case of two party system. What I understand by Entanglement(please correct me if I am wrong) is that if some property of the two systems is entangled, then knowing one, provides the ...
1
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1answer
184 views

What evidence is there that The Big Bang was not just a local phenomenon?

This post is the second in a series of posts that met (decreasingly) with some contention from the physics community, do to my status as a pure mathematician at the very beginning of trying to discuss ...
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3answers
376 views

Could quantum entanglement be explained in terms of synchronized chaos?

Most arguments against any hidden variable theories in quantum mechanics are based on Bell's theorem and consequences. In the proof of Bell's theorem, there is a hidden assumption related to the ...
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2answers
101 views

Why can we always define the Lagrangian Density this way?

Learning some field theory, and many authors just claim "it is nice to express the Lagrangian as an integral $L = \int\mathcal{L}\,\mathrm{d}^3x$." Now I understand when dealing with fields, the sum's ...