The Casimir effect in the presence of compactified universal extra dimensions

Estimate for the size of the compactification radius of a one extra dimension universe

“…The first thing to be stressed about the previous result is that it precisely coincides with the expression found on [16], although we have derived it in a more clear and pedagogic way. Now, if we want to make some comparison with the experiments, we need an expression for the Casimir pressure.…”

“…In a recent paper, Poppenhaeger et al [16] carried out a calculation in order to set bounds for the size of an hypothetic extra dimension. They conclude that their modified expression for the Casimir force with one extra dimension is with the experimental data of M. Sparnaay [17], as long as the upper limit for the compactification radius is at the nanometer range.…”

Casimir effect in the presence of minimal lengths

“…On the other hand the Casimir force has been calculated in a model incorporating one large eXtra dimension [15]. The comparison with available experimental data gives R 10nm where R is the size of the compactified eXtra dimension.…”

Casimir Effect at Finite Temperature in the Presence of One Fractal Extra Compactified Dimension

“…The Casimir effect can be used to explore high-dimensional spacetimes. We can study the Casimir effect for the simple device such as parallel plates in the spacetimes with extra compactified dimensions to show that the extra-dimension influence was manifest and distinct, then we open a window to probe the Kaluza-Klein model [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. Recently more attention of the physical community is also paid to the Casimir effect for parallel plates or piston in the braneworld, such as Randall-Sundrum models, etc.…”