So a player in the campaign I'm in used Righteous Might, which gave him a temporary increase to his Constitution.
He then later on went unconscious while it was on, and then there are two important questions:
Does the spell end upon him going unconscious or does it last until the duration ends?
Does losing that bonus to Constitution when the spell ends effectively kill him, as he's only a few hit points from dying and the bonus HP he got from the increased Constitution disappears with it?
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Spells last until the duration's end. He would die when it ended if the loss of bonus HP put him below his regular Con. It's no different than taking Con damage from a poison or other effect reducing his hitpoints below his normal Con. (Only Con drain would actually reduce his Con for the purposes of determining when he is dead. Damage does not actually adjust his score.)
It's a size bonus. It stays on for the entire spell.
You might say you need stay concious to get a moral bonus , but that's not a gray area here. your con is higher because you're bigger, you're bigger whether you'r conscious or not.