Por cierto ¿Qué tendrá que ver el Dios Pan? (con la palabra Pan)

Pan

Arcadian shepherd god with upper body of a man and lower part like a goat, c.1369, a god of the woods and fields, from L., from Gk. Pan, perhaps cognate with Skt. pusan, a Vedic god, guardian and multiplier of cattle and other human possessions, lit. "nourisher." Similarity to pan "all" (see pan-) led to his being regarded as a personification of nature. Pan-pipe, upon which he supposedly played, is attested from 1820.