Based on the current status of the Roman empire at the time, what direction would Julius Caesar take in the future if he was not murdered on the senate floor?
We generally don't permit "What if" style questions, but I'm going to allow this one since its relatively confined to time period when a knowledgeable person could potentially have something interesting to say regarding Caesar's plans. For anyone attempting to answer this question, please keep speculation to a minimum.
If this had been something like "What would the world be like today if Julius Caesar hadn't been assassinated?" that would require far too much speculation for /r/Askhistorians and would be more appropriate for /r/HistoryWhatIf (which you might want to check out as well if you're longing for a more speculative take on the long term implications of Caesar's survival).