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What is a force? As I understand Newton, and I haven't read the original,
is that which causes an object to deviate from motion in a straight line
at a constant speed (or a change in momentum) in an inertial frame,
presupposing the existence of, and knowledge of, such frames of
reference. Forces are measured by m*a in any inertial frame,
If this understanding is correct, force is tied to inertial frames. In
non-inertial frames, we can introduce apparent forces to account for the
acceleration inherent in the frame. General Relativity then transforms
gravity into one of those apparent forces.
This is one of the more popular misunderstandings of general
Al Clark