late 14c., "unrestricted, free from limitation; complete, perfect, free from imperfection;" also "not relative to something else" (mid-15c.), from Latin absolutus, past participle of absolvere "to set free, acquit; complete, bring to an end; make separate," from ab "off, away from" (see ab-) + solvere "to loosen, untie, release, detach," from PIE *se-lu-, from reflexive pronoun *s(w)e- (see idiom) + root *leu- "to loosen, divide, cut apart."
Sense evolution probably was from "detached, disengaged" to "perfect, pure." Meaning "despotic" (1610s) is from notion of "absolute in position;" absolute monarchy is recorded from 1735 (absolute king is recorded from 1610s). Grammatical sense is from late 14c.
Absolute magnitude (1902) is the brightness a star would have at a distance of 10 parsecs (or 32.6 light years); scientific absolute value is from 1907. As a noun in metaphysics, the absolute "that which is unconditional or free from restriction; the non-relative" is from 1809.
1922, abbreviation of frequency modulation as a method of encoding information in radio waves by varying the frequency of the wave. As a method of broadcasting radio programs, it began in the late 1930s and was notable for superior noise reduction and the capability of broadcasting in stereo. As the chosen medium for broadcasting stereo rock music it became popular in the 1970s.