law of common fate vs common fate

law of common fate and common fate both are nouns.

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

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

law of common fate and 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

law of common fate (noun)	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