In the Wheel of Time series, is it possible to commit suicide by balefire, or would the time-erasing properties of balefire undo your suicide, leaving you alive?
I think suicide by balefire is impossible.
At the end of The Fires of Heaven,
Rahvin uses a weave (not balefire) that kills many of Rand's party including Mat, Aviendha, and Asmodean. Later Rand balefires Rahvin so powerfully that all three of these come back to life.
This proves that being balefired can undo the effects of your recent channelling. This also applies in the case where that channelling is itself balefire. Jordan said (thanks @Himarm for the link):
if person A were to balefire person B, and person C was to balefire person A, if that balefire was strong enough, person B would never have been balefired
So balefiring yourself would undo the effects of balefiring yourself, leaving you alive after all.
We also have a not-very-informative quote from Jordan on this exact issue (thanks again @Himarm):
What happens if you balefire yourself?
That would be a bit tricky, kind of like performing eye surgery upon yourself.
EDIT: I've now tried this by hand (being a powerful channeller myself), and can confirm that balefiring yourself does not result in death. What side-effects it may have remains to be seen.
theoretically one could balefire oneself if the power could be curved back on iteslf
call down balefire that will erase you 1 second into the past of when it hits but channel it in a way that it takes 2 seconds to hit you
if I understand balefire correctly there is no paradox with this however the execution of it could be impossible
Consider, Rand balefires someone at time B They now died ten minutes earlier, at time A, altering the past and undoing everything they did in between A and B. The entire history of the world proceeds from point A as if the target had randomly died then.
But if the target died randomly at time A, why would Rand proceed to balefire him at time B? How could he even do that when he's already dead? But if he doesn't, then why did the target die at time A? Every use of Balefire creates an inconsistent timeline.
Balefire, to function at all, must be paradox immune. People are able to be killed by balefire which, from their perspective, came from a draft future that is immediately overwritten. Balefire is always a temporal orphan from the perspective of the survivors and the final draft of the timeline.
So yes, you can kill yourself with Balefire. Otherwise you would never be able to kill anyone else either.
This is just a guess, but I don't see a paradox. Balefire basically deletes you (including your actions) from the pattern - if you balefire yourself it is just as if you vanished a few moments before. When you then do not balefire yourself again (because you are already gone) nothing happens since not using balefire does not have the power of altering the past.