Kaluza-Klein compactification scale (source code)

= Kaluza-Klein compactification scale
{c}
{title2=$m_{\mathrm{KK}}\sim R^{-1}$}

The compactification scale is the first nonzero internal-mode mass. On a circle it equals $1/R$ for a higher-dimensional massless field. A zero-mode <dimensional reduction> applies at energies well below it. Warping, nontrivial geometry and boundary conditions can change the relation between the first mass and a geometric radius.