There is a critical ambiguity in the sentence of the title. I'll repeat it here:
"Yesterday the doomsday cult said the world would end tomorrow". Which day is the end?
The ambiguity is this: Am I telling you that they said "tomorrow", which is now today? Or am I telling you that they said "in two days", which is now tomorrow?
Obviously there are ways to rewrite the sentence to be clearer, and ideally I wouldn't say a sentence like this in the first place.
But my question is whether there is a word for this kind of ambiguity where quoting relative times may refer to being relative to the time of original utterance, or may be relative to the time of the quoting.
There are plenty of other ways to construct this "relative time shifting" in normal life. For example, "Last week I talked to him, he told me his birthday was yesterday". Was it yesterday at that time, or is it yesterday relative to now?
"I dropped Jeff off at the mall 2 hours ago, he said to pick him up in 3 hours" - did Jeff originally say 5 and I am pre-subtracting, or did Jeff originally say 3, leaving only one hour to go?
Again, for clarity, I am wondering how we describe these situations. I am not asking for opinions of how to resolve the ambiguity, just whether there is a concise descriptive term that labels the phenomenon we're seeing.