By targeting your own Immortal Coil with Fractured Identity, you gracefully sidestep its dangerous downside while gifting a copy to every single opponent at the table. Once the board is primed, casting Timetwister completely empties all graveyards by shuffling them into their respective owners' libraries. Because your opponents' newly acquired token copies of Immortal Coil immediately check for cards in their graveyards and find nothing, their baked-in triggers instantly evaluate and cause each opponent to lose the game.