common fate vs law of common fate

common fate and law of common fate both are nouns.

Word	Noun	Adjective	Verb	Adverb
common fate	Yes	No	No	No
law of common fate	Yes	No	No	No

As nouns, common fate and law of common fate are synonyms defined as:

common fate and law of common fate: a Gestalt principle of organization holding that aspects of perceptual field that move or function in a similar manner will be perceived as a unit

common fate (noun)	law of common fate (noun)
a Gestalt principle of organization holding that aspects of perceptual field that move or function in a similar manner will be perceived as a unit	a Gestalt principle of organization holding that aspects of perceptual field that move or function in a similar manner will be perceived as a unit