In Greek mythology, the River Styx is not a physical waterway on Earth—it flows through the Underworld (Hades), serving as the primary boundary between the world of the living and the dead.
Gods swore binding oaths by the Styx. Perjury brought a year of coma and nine years of exile from Olympus. Even Zeus feared violating a Styx-oath.
Thetis dipped infant Achilles in the Styx, rendering him invulnerable—except the heel she held. Hence "Achilles' heel."
Souls were ferried by Charon (for a coin/obol placed in the mouth). The unburied/unpaid wandered the banks for 100 years.
The Styx remains the ultimate mythological symbol of the irreversible transition from life to death—and the sacred enforceability of divine promises.