Two individuals A and B are traveling through space at a velocity in the "x" direction at and are next to each other so they can synchronize their clocks. Since there is no other available reference they believe they are not moving. Both have a duplicate shape charge which as they are in the same reference frame produce the same force on both. A's charge is facing the -x direction and B's in the +x direction. They also know the exact mass of the ship in their reference frame and the force of the charge so they know the velocity of separation and can correct for light communication time in comparing their clocks. They both simultaneously fire their shape charges and as there is no absolute reference frame and each are accelerated to a higher velocity relative to their initial reference frame would it be correct that: 1) Both clocks would go slower. 2) With respect to their compared measurement the clocks stay synchronized. If not why not.