Friends, today I will touch on a topic, quite strange for me, because I thought that we had solved this simple problem of basic physics.
They tell us about Einstein's hyperfine adjustment on the fall of a body in a gravitational field, and its possible connection with Quantum Mechanics.
Is there really that theory and that connection between them?
Well, as I say here we will see it with the simple application of basic physics, namely: Distinction between force vectors and force fields.

Force vectors.

When we talk and discuss force vectors, we draw them as an arrow next to an object to which the force is applied.
And that's really what happens: having a force, we apply it to a point on an object to make it move.
But for the whole object to move, this application point has to redistribute the force throughout the object (when it is compact):
"We apply it to point P, and it redistributes it throughout the object, since it has to give movement to the entire object, not just point P"
In this case, we would see the force vector as a straight line with a directional arrow, applied to a point P of the object only.

Friends, as I understand that the Theory of Relativity is quite wrong, and in the case of the deformation of the space around the masses it has very little consistency, because I try to clarify some uncertainty that this theory introduces: That the in Newtonian theories, objects should fall with different speeds on the earth, depending on their mass.
This position is not correct, since gravity is a field of forces that is applied to the entire mass, and not to a single point of it as if it were a vector of force.
Total force (as vector) = Field intensity times the mass
F = (g) . m = m. a
On the other hand, the relativist vision that the supposed deformation of space makes the masses fall is inconsistent:
If space is deformed, the mass that occupies or is integrated into that space is also deformed, and nothing more.
-- There is no fall because in space there is neither up nor down; there are only fields of forces that repel or attract other elements.
Or perhaps two positive charges that repel each other is because they deform space "outwards", and two different charges attract each other because they deform space "inwards".

Force fields.

But what about force fields, what are they?
Well, as its name indicates, they are fields that we can consider composed of infinite lines or vectors of force, and that apply to the entire object as a whole, that is, to each and every one of its points.
For eample, when it is applied by a gravitational force field (which is three-dimensional) to each and every one of the mass points of the body that are within this field.
That is, here gravity fields apply a vector of force to each and every one of the particles and atoms of the object, and therefore gives force or accelerates to each and every one of the atoms of the object equally.
Therefore, and logically, the total mass of the object does not matter, since each particle will have the same acceleration as another, whether we study the object as a whole, or study it in pieces, and one by one.
We might ask ourselves, then, what is the difference between a large object and a small one within these three-dimensional fields?
Well, the big object would have more mass and greater momentum (p) p = m.v
But the total momentum (p) of an object whether as a whole (mt), or divided into parts, is the same p = mt.v = (m1.v + m2.v + m3.v ...)
Although the speed (v) would be the same, either of all the particles together forming an object, one by one each particle when the object is destroyed into little pieces.
* The great also has greater weight within this gravity field, if we use this measure.

Two-dimensional fields.

I have also given an example of a two-dimensional field (a ship's sail) so that it is understood that fields can be of this type.
In the example of the ship's sail, we see that the larger its surface, the more lines or vectors of air force it receives.
Subsequently, the sail transforms or accumulates all the force fields of the air into a force vector that transmits it (by the mast) to the ship so that it moves.
As we can see, this topic is very interesting, but very extensive and impossible to study here in this short article: But we can see how force fields (in navigation, gravity) can accumulate and become vectors of force and inertia, moments, weight , etc.