Abstract
We examine the possibility of generating net forces on concave isolated objects from backgrounds consisting of randomly created waves carrying momentum. This issue is examined first for waves at the surface of a liquid, and second for quantum vacuum electromagnetic waves, both in relation with a one-side-open rectangular structure whose interior embodies a large number of parallel reflecting plates. Using known results about the Casimir-like effect and the original Casimir effect for parallel plates, we explain why and how such rectangular hollow structures should feel net oriented forces. We briefly describe real systems that would allow testing these theoretical results.
Highlights
It is commonly believed that isolated objects in any background consisting of a spectrum of randomly created waves carrying momentum will not be subject to net forces due to this background
We are interested in the interaction of the quantum vacuum electromagnetic waves with a rectangular one-side-open parallelepiped P made up of N + 1 identical conducting uncharged parallel square plates of area a2 kept at a same small distance b apart by three a × Nb rectangular plates of the same material as the square plates
We know that the value of the force due to the difference in the local energy density related to the background of quantum vacuum electromagnetic waves on the two sides of one of two free to move parallel square and perfectly reflective plates of sides a, when they are at a distance b apart, is given by
Summary
It is commonly believed that isolated objects in any background consisting of a spectrum of randomly created waves carrying momentum will not be subject to net forces due to this background. Likeness means that the force between bodies results from a wave background different from that of the electromagnetic radiation of quantum vacuum. Such Casimir-like effects have been treated theoretically and observed experimentally for liquid surface waves [5], and many other oscillating systems [6]-[8]. The second wave background will be that of the original Casimir effect In this case, the concave structure will have the form of a rectangular parallelepiped made up of many parallel conducting plates, with one of its faces open showing one edge of each of its interior parallel plates. For other approaches to the project of extracting energy through the Casimir effect, see e.g. [9]-[12]
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