CASIMIR HONEYCOMB DRIVE: ON THE FORCE ON PERFECTLY CONDUCTING HONEYCOMB ON A PLATE

doi:10.26565/2222-5617-2024-41-04

A. Drozdov V.N. Karazin Kharkiv National University, Svobody Sq. 4, 61022, Kharkiv, Ukraine https://orcid.org/0009-0004-1386-4534

DOI: https://doi.org/10.26565/2222-5617-2024-41-04

Keywords: Two dimensional one body Casimir effect, nanocells, nanohoneycomb, Casimir thrust

Abstract

In this paper, the two-dimensional one-body Casimir effect is analyzed on the example of square-shaped nanocells. In the classical one-dimensional two-body Casimir effect a Casimir force appears between two plates as a difference of electromagnetic pressures of zero- point quantum-vacuum oscillation on different sides of each of the plates. The plates are pushed forwards each other by external quantum-vacuum oscillation fields, which in classical configuration exceed internal quantum-vacuum oscillation fields. It is possible to try to create a difference of electromagnetic pressures of quantum-vacuum oscillation on different sides of a single plate due to the difference of the geometry of vacuum resonators on different sides of the plate. For this purpose, it is necessary to grow nanocells on one of surfaces of a smooth metallic plate. As a result, it has been found that the formula for the force per unit area is very similar to the formula of the classical Casimir effect, except for the value of the proportionality coefficient.
The force applied to perfectly conducting honeycombs on a plate as a result of the difference in specific energy density on its different sides can be interpreted as the pressure of the zero-point electromagnetic oscillations. According to the formula presented in this work, for the gold nano-honeycomb with a size of about 2 microns the force should be equal to 8.55 dynes per square meter of the panel, which is quite an acceptable value for the practical use of the expected effect for satellite orbits correction.
Although the effect is small, an experimental confirmation could serve as a critical proof for the existence of Casimir's virtual quantum photons.

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