Particles traveling through time

What if particles moved through time with different rates depending on their mass? Heavy particles like protons would move at a lower rate than electrons. This is, of course, not the case since it would tear the universe apart.

Particles traveling at different rates
through time

However, if gravity extended in time it could mediate the this difference. The heavy particles would retard the rate of the lighter particles and they would move with a group rate through time.
This effect would reduce the further a particle got from the center of mass of the group. Once the particle got far enough away it would advance through time at a higher rate and thereby exit the light cone of the group. The particle would still be affected by the gravity of the group and vice versa, but the electromagnetic force would not interact between them because the force-carrying particles (the photons) would never reach each other. This could be a mechanism for Dark Matter.
At a certain distance away from a large mass, such as a star the vacuum particles spontaneously generated would advance into the future relative to the time coordinate of the star. Further and further from the star the gravity would have less effect and the difference in time would become greater. Assuming the shape of gravity in time is similar to the shape of gravity in space i.e. Fg = (G*m*M)/|r|^2 + (T*m*M)/|dt|^2. This would imply that the retardation of the particles reduces as distance to the star increases. When this happens the particle's rate through time increases and the difference in time increases which reduces the force felt by the star. Dark Matter would then be the effective mass felt by the galaxy from the particles further ahead in time.

Outside galaxies the vacuum particles are so far removed that the force they exert is significantly reduced and they are far outside our light cone. Within the galaxy the space between stars contains vacuum particles removed in time, but still close enough that they exert significant force on the galaxy