higher law vs principle

higher law and principle both are nouns.

Word	Noun	Adjective	Verb	Adverb
higher law	Yes	No	No	No
principle	Yes	No	No	No

As nouns, principle is a hypernym of higher law; that is, principle is a word with a broader meaning than higher law:

Other hypernyms of higher law include precept.

higher law (noun)	principle (noun)
a principle that takes precedent over the laws of society	a basic truth or law or assumption
	a rule or standard especially of good behavior
	(law) an explanation of the fundamental reasons (especially an explanation of the working of some device in terms of laws of nature)
	a basic generalization that is accepted as true and that can be used as a basis for reasoning or conduct
	a rule or law concerning a natural phenomenon or the function of a complex system
	rule of personal conduct