Collecting this in one place because it comes up every few weeks and the answer is always assembled from scratch. It is about the titration schedule, and it is deliberately narrow — everything I am not confident about is marked as such.
What is actually established
The trials generally allowed a step to be held or reduced and then retried, and people who did that mostly arrived at the same place a few weeks later. The end point of the ladder is set by tolerability, not by a schedule, and there is no evidence that reaching the top faster produces a better outcome.
The condition it depends on
That is right for the weekly injectables. For the daily agents the interval logic is different and the four-week convention does not transfer.
The practical version
The arithmetic in one line: half-life about a week, so steady state at four to five weeks, so a four-week interval is one steady state per step. Two-week intervals mean every step is dosed onto a rising curve.
What I am not sure about
What I actually want to know is why the interval is four weeks rather than two, and whether a slower ladder gets to the same place. Practical detail welcome, however dull — the duller the better.
— SleepFixSam · corrections welcome and will be edited into this post with credit