There is a lot of discrepancy in this subject, but flying "Solo" according to F.A.R 61.87 applies towards students and does not mention licensed pilots. But it states that you must be the sole occupant of the aircraft to classify being solo, even though your girlfriend or your dog does not know how to fly the airplane.
Does anybody know about this? Can you log solo time if your passenger does not have a clue as to how to fly the airplane?