Free yourself of culturally-assigned norms ("engineers and creative people work best at midnight, with lots of coffee") and consider a wider breadth of experience.
The most productive and effective person I know, a computer engineer, typically starts working before I'm even awake. The premise of the article is that 4 a.m. is both outside most of society's normal waking period AND it's immediately after you've had a solid night's sleep, while 12-2 isn't really such an unusual time to be awake and, for most people, it comes at the end of the day.
As someone who woke up at 5 a.m. for many summers so I could start work on the farm before dawn, I know that you can definitely accomplish a lot of work before most people even roll into the office, but I also know that sleeping in is incredibly satisfying :)