Time dilations in bound muon decay

A number of experiments show that the decay lifetimes of muons bound to atomic nuclei are longer than the decay lifetimes of free muons. The special relativistic time dilation predicts decay lifetime dilations that are substantially smaller than the observed decay lifetime dilations. In this paper it is shown that adding a recently predicted electro-magnetic time dilation (analogous to the gravitational time dilation) to the special relativistic time dilation gives a total time dilation that agrees with the observed decay lifetime dilations.