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9
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3answers
201 views

How do we know that analytic continuation agrees with UV regulators?

Consider the divergent series $$S = 1 + 1 + 1 + \ldots$$ which may appear in some calculations involving the Casimir effect. There are two main ways to evaluate this series. One can perform analytic ...
0
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0answers
19 views

What is the size/mass of largest metal plate that was moved by casimir effect?

I learned about Casimir effect recently. Is it applicable only on very light/thin metal plates( in terms of micro/nano meters) or is the effect large enough to be noticed on mili meters scale? What is ...
0
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0answers
39 views

Confusion regarding Vacuum fluctuations, Strings & The Casimir Effect

From Wikipedia: Casimir Effect The typical example is of the two uncharged conductive plates in a vacuum, placed a few nanometers apart. In a classical description, the lack of an external field ...
5
votes
1answer
105 views

Repulsive Casimir force between two plates

In the literature, Casimir force has been explained using mode summation method, where missing of modes between metal plates give rise to attractive force, how we explain the repulsion using these ...
0
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0answers
28 views

Would superconducting mirrors in a superposition of spatial states make a difference related to the dynamical Casimir effect?

Related to the dynamical Casimir effect: https://www.technologyreview.com/s/424111/first-observation-of-the-dynamical-casimir-effect/ Related to superposition of macroscopic objects: http://...
5
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0answers
138 views

Why does analytic continuation as a regularization work at all?

The question is about why analytical continuation as a regularization scheme works at all, and whether there are some physical justifications. However, as this is a relatively general question, I ...
1
vote
1answer
105 views

Why won't this Casimir effect perpetual motion machine work?

So the Casimir effect is caused by an imbalance in radiation pressure(caused by virtual particles) on two sides of a metal plate. This is typically shown with two close plates getting pushed towards ...
1
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3answers
124 views

With respect to the Casimir effect, why can't the wavelengths of the virtual particles between two plates just “pass through” the plates themselves?

I've read over the years that the suppression of many of the possible wavelengths between the two plates in a Casimir experiment is what causes the phenomenon (top comment on this Askscience thread is ...
-2
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2answers
72 views

Electricity from vacuum [closed]

Can I generate electricity in complete vacuum without using any conventional sources? Using Casimir theory, according to him, he kept two plates nanometers apart in a vacuum. According to the law of ...
4
votes
1answer
499 views

Casimir effect for spinning Casimir plates

I recently thought of the following experiment. Let's say I have two plates in vacuum facing each other. Now, due to the Casimir effect, there will be some internal attraction between the plates. Now ...
4
votes
2answers
196 views

Does the dynamical Casimir effect generation of real photons create energy from nothing?

The experiments reported in recent years demonstrating the creation of real photon pairs from the vacuum via the dynamical Casimir effect have made me wonder if this process demonstrates the creation ...
4
votes
3answers
365 views

Could future experiments on “Gravitational Casimir Effect” confirm the existence of gravitons?

From Casimir effect, we know that when two plates are placed very close to each other in vacuum, they attract each other because the quantum fluctuations that press on the two plates' outer surfaces ...
0
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0answers
124 views

What is the Casimir effect caused by gravity?

What is meant by a Casimir effect caused by gravity? Please explain me the concept in detail and how is it caused.
3
votes
1answer
123 views

What is negative energy?

From what I've read negative energy is based on the Dirac sea concept of virtual particles. Negative energy is referenced by Casimir effects of virtual particle concentration differences between the ...
1
vote
2answers
412 views

How would the Casimir effect stabilize wormholes?

According to various sources, the Casimir effect could theoretically be used to stabilize a two-way wormhole because it "simulates" the negative energy exotic matter that would normally be required. ...
2
votes
1answer
129 views

What is the relation between zeta and cut-off regularization of the Casimir effect?

In the literature there are at least two methods to derive Casimir effect: original one by Casimir himself: take the quantized energy between plates minus the free space energy, then regularize, e....
2
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0answers
187 views

Help with derivation of the Casimir Effect?

I am at the very last part of a relatively long derivation of the Casimir effect, and I just don't understand the final step D: So far, I have derived the ground state energy to be $$\langle 0| \hat{...
1
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0answers
61 views

Casimir effect with super conductors

Do the plates in the Casimir effect need to be metal? What if one uses super conductors? Is there any difference theoretically/experimentally?
1
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0answers
39 views

What properties does the conductor making the plates for Casimir effect have?

Reading this explanation, I've understood that the divergence in computation of Casimir force on two parallel conducting plates is because of an unphysical model of ideal conductor, which makes EM ...
11
votes
1answer
505 views

Calculating $\mathrm{Tr}[\log \Delta_F]$

I am stuck with this problem for quite sometime. I have a propagator in the momentum representation (from this question), which looks like $$ \widetilde\Delta_F(p) = \frac{1}{(p^0)^2-\left(\left(n\pi/...
8
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1answer
370 views

Casimir forces and its associated Feynman propagator

This is a continuation to my previous question, in which I began an attempt solve the Casimir Force problem using path integrals. As one of the answers there suggest I solve the Feynman propagator ...
5
votes
1answer
241 views

Casimir forces due to scalar field using Path integrals

I have just started learning QFT. I have just completed scalar fields, which I learnt in using Canonical Quantisation and Path integrals. I did calculation of Casimir force between two metal plates ...
11
votes
0answers
341 views

Which values of the Riemann zeta funtion at negative arguments come up in physics?

For my bachelor's thesis, I am investigating Divergent Series. Apart from the mathematical theory behind them (which I find fascinating), I am also interested in their applications in physics. ...
1
vote
0answers
79 views

Can or does the Casimir effect play a role in solving the electron self-energy problem?

The Casimir effect is usually derived for parallel plates, with the pressure going as the inverse fourth power of the separation. It strikes me that this implies that a tiny spherical shell of charge (...
6
votes
2answers
205 views

A question to clarify the use of divergent series in calculating the casimir effect

Some time ago I posted a question here on this forum. I would like to ask some questions regarding the way the energy per unit area between metallic plates is calculated. The full calculation is on ...
3
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0answers
174 views

Is the Casimir effect also present between two event horizons?

A follow-up to this question: Is the Casimir effect also present between two event horizons?
1
vote
1answer
232 views

Why does the Casimir effect require metallic plates?

The typical example of the Casimir effect is of two uncharged metallic plates in a vacuum, placed a few micrometers apart. Why do the plates need to be metallic?
3
votes
1answer
234 views

Does the Casimir Effect violate the Quantum Inequalities?

Does the Casimir Effect violate the Quantum Inequalities? From what I understand, the Casimir Effect is able to produce negative energy densities for an indefinite amount of time, or is that wrong?
7
votes
1answer
201 views

Does the Higgs boson contribute to the Casimir effect?

I read that all bosons contribute to the casimir effect with an attractive force. http://math.ucr.edu/home/baez/physics/Quantum/casimir.html Does the Higgs boson contribute to the Casimir effect? ...
1
vote
0answers
91 views

Casimir force between plate and sphere

In our quantum optics lecture we derived the formula for the Casimir force between two plates (or at least the force per unit surface, since for two infinite plates we would have an infinite force). ...
0
votes
1answer
376 views

Does the Casimir effect give the correct value for Dark Energy?

My understanding is that the Casimir Effect is caused by vacuum energy. Quantum mechanics (QED) predicts vacuum energy, but gets the value grossly wrong, by a factor of $10^{120}$. On the other hand, ...
3
votes
1answer
91 views

Casmir effect creating positive energies in vacumn

The Casmir force is explained by wave exclusion: Two parallel plates create a reduction in the possible modes of vacuum oscillations between them, reducing the energy of the vacuum. Since we define ...
10
votes
2answers
554 views

Casimir effect as an entropic force

When I first learned about the depletion interaction, my initial reaction was that it looks very similar to the Casimir effect. On making this remark to the professor, he replied somewhat mystically: "...
6
votes
1answer
209 views

Resultant curvature tensor from the Casimir Effect

I've often seen the Casimir effect cited as a source of negative energy/exotic matter with regards to ideas like the Alcubierre drive. The articles then go on to note that the energy required by the ...
2
votes
1answer
134 views

Caimir effect regularization for every divergent sum or series

can we use the tools of renormalization of casimir effect to get finite results for any divergent series in QFT ?? for example let be the divergent series $ \sum_{n=1}^{\infty}n^{l} $ for positive 'l'...
5
votes
2answers
181 views

Zeta regularization and Renormalization group

Is there a physical method to prove for example when the zeta regularization of a series $$ 1+2^{k}+3^{k}+............= \zeta (-k) $$ gives the correct result: Casimir effect, vacuum energy and when ...
0
votes
1answer
144 views

Casimir effect when the zeta function has a pole

let us suppose the Casimir force/ Vaccumm energy of a certain system $$ E_{casimir}= \sum _{n} \omega _{n} $$ which is formally equal to $ E_{casimir}= \zeta _{spec}(-1) $ with $ \zeta (s)_{...
3
votes
1answer
183 views

Can you “fold” EM or light waves? (i.e) long wave that is reflected by mirror in fragments - like in the game “Snake”

So, I was reading about the Casimir effect. Two mirrors facing each other attract to each other in a vacuum. The reason is due to pressure exerted on those mirrors from the multitude of EM waves (like ...
2
votes
1answer
48 views

Minimum atomic clearance permitting motion

Suppose you were to build the piston and cylinder in a car engine atom-by-atom. Let's just say carbon, since you can make a lot of different shapes due to it's high valence. So assuming you make the ...
0
votes
1answer
828 views

Effect of strength of magnetic field on the height of a levitating superconductor?

Quantum levitation, flux pinning -- basically, when a superconductor floats above a permanent magnet, is really fascinating. But does the strength of the magnetic field influence the superconductor's ...
11
votes
3answers
1k views

Does Unruh Radiation replace the cosmic horizon radiation?

A recent paper, titled Inertia from an Asymmetric Casimir Effect, discusses the universal horizons relative to an accelerating observer (Rindler space). A figure it used to demonstrate its point ...
3
votes
1answer
304 views

Negative energy and large-scale spacetime structure

I was reading an essay from Stephen Hawking's on the Space and Time warps and I was trying to make sense on some statements referring to the Casimir effect such as: The energy density of empty ...
4
votes
1answer
202 views

Relation between Casimir and hydrophobic effects

Background Some years ago I was studying "Fundamentos de biología" (Biology fundamentals) and learned how the lipids create a bilayer due to the water repulsion. Some time later I learned that this ...
8
votes
3answers
7k views

Can 'negative energy' be created by the Casimir Effect?

In several papers about Time machines I have read that the Casimir effect can be used to create negative energy, so the Alcubierre-device or wormholes could be produced. How can negative energy be ...
7
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0answers
264 views

Regulating the sum in Casimir Force

I am trying to evaluate the Casimir force using a Gaussian regulator (I know there are other much easier ways to do this, but I want to try this!) We then are reduced to evaluating the sum $$ \sum\...
2
votes
3answers
327 views

Zero Point Fluctuations

The total energy of a mode in a quantum mechanical resonator is given by $E_n ~=~ (n+ 1/2)hf$ where $n$ is the number of modes. So when there are no modes or vibrations, i.e. $n=0$, the energy is ...
1
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0answers
285 views

Could one transmit a signal with equally-tuned casimir plates across the quantum field?

It seems, one could exploit the Casimir effect to send messages across arbitrarily-large distances with carefully-tuned Casimir plates. Obviously, relativity would preclude FTL information transfer, ...
2
votes
2answers
277 views

what is the relationship between the dynamical casimir effect and virtual particles?

Since virtual particles are disturbances in a field, and not particles in any sense, as explained here, how is it that true photons arise from them when excited with kinetic energy via the dynamical ...
1
vote
2answers
415 views

Why is “space-time” not fully explained as the observational effect of the casimir effect seen from a human perspective?

Simply stated the casimir effect can be observed bringing two plates together microscopically and in vaccum Is this analogous to the observation of gravity? Question: What is casimir effect? ...
3
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2answers
1k views

Faster-than-light communication using Alcubierre warp drive metric around a single qubit?

The Alcubierre warp drive metric has been criticized on the points of requiring a large amount of exotic matter with negative energy, and conditions deadly for human travellers inside the bubble. What ...