| binary confrontation
This kind of confrontations can only happen in a universe with only 2 degrees of freedom. However, it is widely used as a good 1st order approximation to all linear interactions for microscopic elementary particles as well as interactions between stars and galaxies. Ideally, this is equivalent to all two body problems. Their solutions are deterministic, stable, and predictable in contrast to three body problems which can become nonlinear, chaotic, and probabilistic.
From a human perspective, it is called a one to one interaction exclusively between two people, two entities, or one person and one external entity or internal entity. Objectively, between an individual and nature or another person. Subjectively, between an individual and one’s internal consciousness: personal conscience, personal death, personal growth, personal intelligence, personal feelings and emotion. Therefore, without much oversimplification it can be said that binary confrontations exist both objectively in an outer reality and subjectively in an inner reality. Complexity arises when a subjective internal binary confrontation interacts with an external binary confrontation forming a much more complex four body problem.
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Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
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