2.1. Physics, mathematics and theorization
We can state -- with some inaccuracies -- that for the physicist field means what functions mean for the mathematician and since field is a function we could think that there is no distinction between Physics and Mathematics at least in this domain. There is a certain fallacy in this way of thinking: for the physicist field is more than a function -- it is a function generated by another field or by natural principle; and it is a function generating effects. The quantification of the cause-field and field-effect relationships belongs to experimental Physics; the rest are theoretical Physics, Philosophy of the Sciences or pure Mathematics -- themes we cannot always distinguish very well since there is a lot of artificialism in them.
Changing experimental information into a mathematical language implies the acceptance of some hypotheses that -- if at all plausible -- converge to a more general solution (theory). The following hypotheses come from the reinterpretation of successful experiments exhaustibly confirmed in the past 200 years -- they are the same experiments that support classic electromagnetism and most part of modern Physics. Through this text I hope to make clear this interdependence, as well to reinforce the fact that the mathematical language in Maxwell’s theory is entirely correct, although irreducible to the universe of elementary particles.
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