Newton's law vs law of nature

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

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

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

Newton's law: one of three basic laws of classical mechanics
law of nature: a generalization that describes recurring facts or events in nature

Other hypernyms of Newton's law include law.

Newton's law (noun)	law of nature (noun)
one of three basic laws of classical mechanics	a generalization that describes recurring facts or events in nature