P-Wave Dilation

Is the gravitational time dilation related to the velocity of the seismic P-waves? We know that the gravitational time dilation is equivalent to a kinematic time dilation caused by planet‘s escape velocity, according to the Schwarzschild metric. But we don’t know why every gravitational mass curves space-time. Let’s presume that the curvature is caused by the limited speed of the electromagnetic interactions. Indeed, a quick check shows that the average speed of the seismic pressure wave passing through the center of the Earth is very close to our planet’s escape velocity of 11.2 km/s. We have a formula for the P-wave speed which is Vp=sqrt(B/ro), where B is the bulk modulus and ro is density. If we compare Vp to Ve = sqrt (2GM/R) then the gravitational acceleration g would not be proportional to the planet’s mass, but g would be proportional to BR/(2*ro). Think about the implications…