Exactly. Thus a magnetic field is not a force field, for the same reason that a gravitational field is not a force field. Maybe so, but a link would help me know what you mean by this. Without units, this is nonsense. What is the spatial density where you are now? I don't think I mentioned a difference of acceleration in any of that. I'm comparing gravity to gravitational waves, only one of which produces acceleration. I also made no mention of different locations. I don't think they give out Nobel prizes for applying a principle known for at least 400 years. A long rod generates gravitational waves if rotated. At some distance X from its center of gravity, it the gravity is greater if the rod is aligned with X than if it is perpendicular to a line drawn from it to X. The gravity from the rod is not 'conveyed' by gravitational waves or anything else, but changes to the gravitational field are conveyed by such waves. By this argument, no waves at all are sent along the axis of rotation of the rod since the field doesn't change in that direction. Nevertheless, an object there will be drawn by gravity to the rod.