The short answer
For demanding cognitive work that requires holding a problem in your head, three to four hours a day is a realistic ceiling for most people, and four is a good day rather than a typical one.
The most cited support for that number comes from Anders Ericsson's research on deliberate practice. Studying violinists, chess players and other elite performers, people whose entire occupation is focused effort and who have every incentive to do more of it, he found that they rarely sustained more than about four hours of deliberate practice a day, and that they broke it into blocks with genuine rest between. Those are the upper performers under optimal conditions, with no meetings and no inbox.
Treat that as a soft ceiling rather than a law. It comes from a particular literature about a particular kind of effortful practice, not from a controlled experiment on office work. But it lines up well with what people find when they actually measure themselves, and it is far closer to reality than the eight-hour assumption baked into most schedules.