Obviously, a character can die when he gets hit by the corresponding critical injury.
But this is mentioned in the book: "When wounds exceed a character's wound threshold, the player should track the number of wounds by which his character has exceeded the threshold to a maximum of twice the wound threshold."
Does the character die after they have more than doubled their wounds past their threshold? It doesn't say so directly, but it seems to me to be a strange inclusion in the rules. A player who is harder to kill (much larger wound threshold) could take significantly longer to heal back from unconsciousness than a player with a lower wound threshold when taking the same amount of damage.
How do most of you all treat or enforce character death?