Etymology
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longevity (n.)

1610s, from Late Latin longaevitatem (nominative longaevitas) "great age, long life," from Latin longaevus "of great age, ancient, aged," from longus "long" (see long (adj.)) + aevum "lifetime, age" (from PIE root *aiw- "vital force, life; long life, eternity").

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*aiw- 

also *ayu-, Proto-Indo-European root meaning "vital force, life; long life, eternity."

It forms all or part of: age; aught (n.1) "something; anything;" aye (adv.) "always, ever;" Ayurvedic; coetaneous; coeval; each; eon; eternal; eternity; ever; every; ewigkeit; hygiene; longevity; medieval; nay; never; no; primeval; sempiternal; tarnation; utopia

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit ayu- "life;" Avestan aiiu "age, life(time);" Greek aiōn "age, vital force; a period of existence, a lifetime, a generation; a long space of time," in plural, "eternity;" Latin aevum "space of time, eternity;" Gothic aiws "age, eternity," Old Norse ævi "lifetime," German ewig "everlasting," Old English a "ever, always."  

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macrobiotic (adj.)

also macro-biotic, 1797, "tending to prolong life," 1797, from Greek makrobiotikos "long-lived," from makros "long" (from PIE root *mak- "long, thin") + bios "life" (from PIE root *gwei- "to live"). The specific reference to a Zen Buddhist dietary system dates from 1936. Hence macrobiote "a long-lived person or animal" (1852); macrobiosis "long life, longevity" (1837); macrobiotics "the study of longevity" (by 1832); "theory of macrobiotic diets" (by 1948).

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