The Casimir force on a piston in the spacetime with extra compactified dimensions

Understand

A one-dimensional Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in high-dimensional spacetimes within the frame of Kaluza-Klein theory is analyzed.

• We derive and calculate the exact expression for the Casimir force on the piston.
• We also compute the Casimir force in the limit that one outer plate is moved to the extremely distant place to show that the reduced force is associated with the properties of additional spatial dimensions.
• The more dimensionality the spacetime has, the stronger the extra-dimension influence is.