Let me put it another way. Draw a point. Call it a spot. It is only a spot. A second spot near the first one is local to it, yet it is still separate from the first spot. If the two spots were to be at the same position and fill the same area, then these would be one in the same spot. So, if the spots were part of each other, these wouldn't be local, since these would be the same thing overlapping.
Likewise, if the second spot was smaller than the first, and occupied that first spot without causing any distinguishable change through detection, then the second spot would not be just local to the first spot, it would have indistinguishably replaced something of that first spot. The two spots would be an interdependent whole that would amount to no net change in either spot. Both spots would be inseparable increments of something that is just as it was and just where the first spot had been for some time. Local spots would be those near the first one.
Let's say that two spots overlapped. The area of the first spot would have remained intact, and the area of the second spot remained intact. The overlapped area would be dark, just as both the first and second spots were dark. It is likely that the area of overlap would be darker than either spot initially was. The new configuration would not have the same configuration as either initial spot.
Let us say that the spots were round.d Let's say that as prior the area of overlap caused indistinguishable replacement versus the darkened overlap that I mentioned in the last paragraph. The emitted area that was replaced is residue of the first and second spots, yet it is no longer a part of either spot. If the replacement was eased by the efficient removal of what is now residue, than the residue would be forced away from the new shape that has formed. thus, the new residue is no longer a part of the new configuration. You could now say that the second spot's parts that have remained unchanged are local to the first spot's parts that have remained unchanged, since these are unique and have a distinguishable identity that is different from either initial spot.
Earlier, when the overlapped area was darkened, both the maintained part of the first spot, the maintained part of the second spot, and the area of the overlap could be said to be local to the same thing.
Theoretically, anything may be broken down into parts that are unique from the original thing. Yet, certain things should never be tampered with. What determines what a unique "spot" is, that can not be broken down, nor any smaller parts found further down in scope, is your definitional context. A lepton may be thought of as a single thing when you consider it as a particle. An electron is made of leptons. An atom may be treated as a system that contains particles. Any system has components that are local to the mechanism of that system as a whole. Planck Phenomena and superstrings are discrete units of energy. This is because you can not have an energy that is a fraction of a Planck Phenomenon or superstring. For instance, a lepton system has Planck Phenomena and superstrings that are local to the very makeup of that lepton. Everything is locally interdependent on its interior and exterior.
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