Part 3. Displacement of the Gravitational Field. Instantaneity of the Gravitational Field.
In this Part we are trying to demonstrate, in a simple way, that the field displacement speed is not that of light.
Discussion about the velocity of displacement of Fields.
Let's consider two bodies with equal masses rotating one around the other that describe elliptical paths in a stable motion due to the gravitational forces between them. This is a similar case to that of the binary stars. Let's not consider other external forces. Then, the center of mass of this system must be in the center of the line joining each center of mass of each one of the bodies.
In this case, the gravitational field from and over each body is variable, because of the permanent change of position of them.
Let's make the following hypothesis: "The field speed is the same of light, say it has a finite value".
As it can be imagined, the effect of variation of fields delays because of the distance between them (sun light delays 8.5 minutes to reach earth, and earth moves approximately at a velocity of 30.000 m/seg). The delay in the effect of the field of a body over the other originates that the forces over each one are not directed towards the center of mass of this system, but towards that point where attracting body was a moment before. This fact makes to appear tangential forces in the direction of their motions, which should accelerate the movement of the bodies, augmenting their speeds and centrifugal forces, separating more both bodies. The increment of the distance between them again increases tangential forces, which accelerates more the bodies, and so indefinitely, making the motion to be a spiral.
Say tangential forces originate a no null torque, positive and variable increasing respect to the center of mass of that system, generating a variable angular momentum.
This fact contradicts the stability of binary stars and the conservation of the angular momentum, when there are not external forces acting over the system.
Conclusion.
The above result, denies the hypothesis of a finite field displacement velocity. The forced counterproposition is: "Field has an infinite displacement speed". This means that "the effect of the field is instantaneous over all the space around the mass that produces it". This is a very strong conclusion, but we cannot conclude anything else. Remember, this is not a assumption, but a conclusion.
A similar analysis for electric fields between charged bodies would lead to a similar conclusion. Also for magnetic fields and probably for the weak and strong fields in the atomic nucleous. Thus, in general, "Displacement of any kind of field seems to have infinite speed, or that its effect is instantaneous".
Another consecuence of the instantaneity of the effect of the field is that gravitational forces are central, and reciprocally, central forces imply that the field is instantaneous and that the conservation of angular momentum holds. To invoke central forces in any analysis in physics conveys implicitly to invoke that field is of instantaneous effect and meet the law of the conservation of the angular momentum, when there are not external forces acting over the system.
Additionally, this analysis, if correct, tells us that transmission of forces by means of particles or waves, or the property of conveying any kind of forces by particles or waves, cannot be possible. Namely, looking for particles with the property of transmitting the effect of forces (graviton, magneton, photon, gluon and bosons) will be an undertaking task with a frustrating destiny, because any particle or wave cannot go to a speed greater than that of light nor have a infinite speed, as we had established in Part 2.
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