Mathematics is about constructing structures. Those structures may or may not be used to explain physical phenomena. For example, first, the impact of gravity was seen before physicists formulated it and refined their understanding of it. In contrast, mathematicians mainly use other theorems and facts to prove new things. But the infinity mechanism is different. In the finite zone, the change in the magnitude of numbers generates motion. It was discussed in the inf article that motion can be retained in the inf zone too. This is confusing because magnitude is not defined in the inf zone, still, the notion of motion and change seems valid in some situations. For example, lim f(x+1)/f(x) for exponential functions, as x tends to inf, shows that the exponential functions retain their motions even in the inf zone. This should have something to do with the infinity mechanism that pushes the functions to the inf zone. When the speed of growth is not fast enough (for example f(x)=x^n), the infinity mechanism doesn’t produce any motion in the inf zone, while f(x)=n^x accelerates fast enough to generate motion in that zone. Other observations provide insight into other aspects of the infinity mechanism. For example, it appears that the inf mechanism deforms space such that finite functions enter the inf zone. The process of counting incorporating natural numbers never diverges so there should be a mechanism to enter the inf zone. However, the mechanism is unclear. Whatever the mechanism is, it resembles forces in physics more than theorems in mathematics.
Recent Comments