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We consider long-time evolution of small solutions to general multispeed Klein–Gordon systems on   $\mathbb{R}\times\mathbb{R}^{3}$  . We prove that such solutions are always global and scatter to a linear flow, thus extending partial results obtained previously in Germain [ 5 ], Germain and Masmoudi [ 15 ] and Ionescu and Pausader [ 4 ]. The main new ingredient of our method is an improved linear dispersion estimate exploiting the spherical symmetry of the Klein–Gordon flow, and a corresponding bilinear oscillatory integral estimate.

Multispeed Klein–Gordon Systems in Dimension Three