Imagine two tangents on a geodesic at a distance from each other. Now as we slide one of the tangents along the line element towards the other one at what point have we reached an interval that can be defined as a minimum distance? Meaning that below this distance we would have a truly straight line and not a segment of a curve. This is like saying the portion of the line element between graviton interactions. So that the mass is in an inertial frame at that point and experiences no acceleration. In other words can we define a granularity of the line element?

It's controversial, but as far as I concern, the term gravity is already the metric unit, a measurement of a "reaction" provident from a still unknown "action", at least for some gravity is already the measurement as being the product of electromagnetism interacting with and trough space fabric, and as electromagnetism being also a interaction of energy released from the atoms and particles trough and within the same space fabric... In a shorter version some consider gravity as some exclusive force resultant from the presence of mass resulting in weight bending space time, others that mass generates a inconstant but equivalent eletromagneticfield that interacts with space fabric, somehow, providing complex electrical solutions to the same result, for those gravity is a consequence of electromagnetism and others is from weight, but both start with mass, the mass weight concept predicts a flat universe where everything and every single measurement will be proportional to the mass, when the other predicts a series of magnetosphere providing local gravity and as consequence a inconstant and unpredictable universe where mass and atomic composition determines and is proportional to the electromagnetic field it produces, somehow also generating orbits, weight concepts force the planets to bends space, and electromagnetism concepts use their mass to force space to bend itself around them... It's a little more complex than that but for one gravity is the force and for others gravity is a result of interaction... Every one know what it is, no one, really, understands how it does, yet... Three possible awnsers for one specific question, the tirth anwser would be that both are correct...