The deformation of extra dimensional compact sphere space and modified calculation of K-K particles mass

Abstract

In this paper, the deformation of extra dimensional space and the correction of K-K particle mass are studied according to Einstein cosmological field equation in high dimensional space-time. It is assumed that to exist high-order gauge fields and vacuum energy densities in the interior space of the model, then the radius of compact single sphere and compact double sphere and the corresponding mass of K-K particles are calculated respectively. In addition, the modified values of radius and K-K particle mass are calculated by using single-parameter deformation and double-parameters deformation of internal sphere metric. The number of extra dimensions and deformation effect on internal sphere radius and K-K particle mass are also analyzed and discussed. We also study the variation of fluctuation solutions in single-sphere and double-sphere compactification, i.e., assuming that the static solutions around the scale factor to produce a small fluctuation with time, we carefully analyze the growth properties of solutions for linear fluctuation equation corresponding to Einstein field equation. It is found that the fluctuation solutions in single-sphere and double-sphere compactification can reach stable state, and this conclusion is in good agreement with the stability results of scalar field potential energy, thus the fluctuations of metric in space-time can lead masses generation of K-K particle.