Reflection

A recurring temptation is to confuse the physical law with the reality it describes.

But Newton’s law F=maF = ma is not the world: it is one of our most fortunate representations of the world. If we push the model far enough — speeds close to that of light cc, atomic scales — we find that the model breaks down, and we must build a new one. Not because Newton was wrong, but because every model has a domain of validity.

Part of a physicist’s craft is recognising where a model holds. The rest of a physics course is a journey through ever wider models, each of which contains the previous one as a limiting case: special relativity contains Newtonian mechanics for vcv \ll c, quantum mechanics contains it for objects large enough. This is not a sequence of corrected mistakes, but a sequence of increasingly detailed maps of the same territory (Feynman 1963; Arons 1997).

This awareness changes the way one does lab work: when the data deviate from a law, the right question is not just “is the law wrong?”, but also “am I stepping outside the domain in which this law holds?”.

Topics: Metodo sperimentale

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