In the Casimir effect, can you slide plates unopposed by force?

In summary, there is a component of the Casimir force that is not normal to the plates and is most pronounced near the edges. This force, along with the forces on opposite edges, make it necessary to do work when sliding the plates apart. If it were possible to slide the plates without doing work, it would violate the conservation of energy.
  • #1
Christofer Br
51
0
How would sliding the plates parallel to each other in order to separate them (they are prevented from contacting to avoid friction) require the same amount of energy as pulling them apart? You're not pushing against the force (the net force at the edges pulling it back is balanced by opposite force on opposite edges). I am sure it has to be the same amount of work in both cases to conserve energy, I just don't know how it works.
 
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  • #2
As soon as the plates are shifted with respect to each other there is a force component against the direction you slide them. Both edges contribute to that.
 
  • #3
Christofer Br said:
How would sliding the plates parallel to each other in order to separate them (they are prevented from contacting to avoid friction) require the same amount of energy as pulling them apart? You're not pushing against the force (the net force at the edges pulling it back is balanced by opposite force on opposite edges). I am sure it has to be the same amount of work in both cases to conserve energy, I just don't know how it works.
In textbooks you will only find a calculation of the force for infinite plates. But real plates, which can be separated by sliding, are not infinite. For real plates there is a component of Casimir force that is not normal to the plates. This component is most pronounced near the edges of the plates. The "opposite" forces on opposite edges are forces on different plates, so they don't cancel out. (To see this, try to draw a picture with forces, being careful about which force acts on which plate!) Therefore, you are pushing against the force.

In fact, the Casimir force is a red herring here. The same apparent "problem" exists also for classical force between oppositely charged plates.
 
  • #4
If you could slide the plates laterally without doing work, then you could draw energy from the vacuum. You would start with some spacing, let the Casimir force pull them together and harness the free energy released. Then slide them apart so that they are non-overlapping with enough margin - you wouldn't be doing work, per our assumption. Then move them along the normal axis and get back to the original plane-to-plane spacing. Finally slide into initial configuration and repeat.
 

1. What is the Casimir effect?

The Casimir effect is an observable phenomenon in quantum field theory where two uncharged metal plates placed in close proximity experience an attractive force due to fluctuations in the quantum vacuum energy.

2. What causes the Casimir effect?

The Casimir effect is caused by the presence of virtual particles in the vacuum. These particles constantly pop in and out of existence, creating an imbalance in the energy density between the space inside and outside of the plates, resulting in a net force towards each other.

3. Can you slide plates unopposed by force in the Casimir effect?

No, the Casimir effect is a result of the attractive force between the plates. This force must be overcome in order to slide the plates, just like any other physical force. However, the force is very small and may not be noticeable in everyday situations.

4. Can the Casimir effect be used as a source of energy?

No, the Casimir effect is a very small force and requires extremely small distances and precise conditions to be observed. It is not a viable source of energy and cannot be harnessed for practical use.

5. Are there any real-world applications of the Casimir effect?

While the Casimir effect is not currently used for practical applications, there is ongoing research exploring its potential uses in fields such as nanotechnology and microelectromechanical systems (MEMS). It may also have implications for understanding the behavior of the universe at a fundamental level.

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