I have wondered what would be if a smaller object is within the gravitational limit of a bigger one, but the latter is outside of that of the smaller one. I imagine that it would appear as if the bigger one attracts the smaller one while it repulses itself from the bigger one. Then at some distance it would exist equilibrium
That is correct, given one assumption--that astronomical relations work the same as molecular ones. Conventional astronomy does not do this--it has its own "physics," which is why we end up with gravitational constants and such, but it IS the assumption I am now working from, regarding this research.
At the molecular level, "bonding" is controlled by the unit space boundary that separates the time-space region (conventional space/time) from the time region (atomic configuration "space"). The unit space boundary is where space = 1 and time = 1, so it is technically the unit speed boundary (1/1). The time region only differs from the cosmic sector because the aspect of space remains fixed at unity, and only time progresses: 1/2, 1/3, 1/4... there is no spatial displacement within the time region, since 1-1=0. There CAN be spatial displacement in the macro-cosmic sector.
Consider the gravitational limit, which is where the net, inward motion in extension space, due to temporal displacement, drops to less than 1 unit. Since the system is discrete, less than one = zero, so there is no spatial effect--in other words, from that point on, the spatial displacement is zero, there is no temporal displacement present, so the only effective motion is the outward progression at unit speed (1-0) / (1-0) = 1/1.
For all practical purposes, the gravitational limit IS the "unit boundary" for an aggregate, so aggregates should work exactly the same way as atoms in molecules.
Four conditions are then possible, given any two aggregates:
I believe #4 is what is actually going on in "galaxies" and clusters and they are NOT outside the gravitational limits of each other--but just within them. Of course, this changes the astronomical picture a bit, as a new galaxy can only form OUTSIDE the gravitational limit of another, which means it should be unobservable as "normal" light, since light is carried by the progression and could not cross the gap.
However, I don't think the equilibrium is as simple as that, as observations of our own sun indicate that you have processes generating motion in all the speed ranges, so not only does material gravity have to be considered, but also cosmic gravity (temporal locations) due to the FTL motion in the core, as well as the net motions of magnetic and electric fields. As to what effect this will have on stellar distances, I do not yet know--but because the "inter-atomic distance" formula used to find the point of equilibrium of atoms is based on the natural log, interstellar distances will not be a linear relation (parallax), but a logarithmic one, making the actual distances MUCH smaller than we've measured.
I have wondered what would be if a smaller object is within the gravitational limit of a bigger one, but the latter is outside of that of the smaller one. I imagine that it would appear as if the bigger one attracts the smaller one while it repulses itself from the bigger one. Then at some distance it would exist equilibrium (something like the "neutral zones" of James Churchward's fictional science of Mu). But wouldn't this mean that there isn't one fixed gravitational limit for one object (taken in isolation), but many such limits for every couple of objects (depending on their respective masses)? If so, then it wouldn't exist some fixed distance at which all masses stop to be attracted (or move toward) a given massive object, but it would be one distance for one mass, then another for an object with another mass etc. Wouldn't this eliminate that problem?
Or maybe I still don't get the concept right...