I just checked the in-game time on my character's iFruit phone and it said it was 9AM. I imagined my guy in this little universe and tried to picture what his day actually looks like. At 9AM he was parked in a wealthy street with an absolutely trashed car after being chased by a street racer around the state all night.
The next time you're playing, check your in-game phone now and then. When it gets to 9AM, take a picture of your character wherever they are and whatever they're doing. I want to see how Los Santos looks in the morning. Consider it light roleplay and try to imagine your character as a living being in a real city.