Hooke's law vs law of nature

Hooke's law and law of nature both are nouns.

Word	Noun	Adjective	Verb	Adverb
Hooke's law	Yes	No	No	No
law of nature	Yes	No	No	No

As nouns, law of nature is a hypernym of Hooke's law; that is, law of nature is a word with a broader meaning than Hooke's law:

Hooke's law: (physics) the principle that (within the elastic limit) the stress applied to a solid is proportional to the strain produced
law of nature: a generalization that describes recurring facts or events in nature

Other hypernyms of Hooke's law include law.

Hooke's law (noun)	law of nature (noun)
(physics) the principle that (within the elastic limit) the stress applied to a solid is proportional to the strain produced	a generalization that describes recurring facts or events in nature