There are eighteen times more people involved in transistor-related research today than in 1971. So if in 1971 it took 1000 scientists to increase transistor density 35% per year, today it takes 18,000 scientists to do the same task. So apparently the average transistor scientist is eighteen times less productive today than fifty years ago. That should be surprising and scary.
He is citing Bloom, Jones, Reenen & Webb (2018). This paper was discussed at a conference Alexander attended. He writes,
constant growth rates in response to exponentially increasing inputs is the null hypothesis. If it wasn’t, we should be expecting 50% year-on-year GDP growth, easily-discovered-immortality, and the like. Nobody expected that before reading BJRW, so we shouldn’t be surprised when BJRW provide a data-driven model showing it isn’t happening. I realize this in itself isn’t an explanation; it doesn’t tell us why researchers can’t maintain a constant level of output as measured in discoveries. It sounds a little like “God wouldn’t design the universe that way”
My favorite economics professor, Bernie Saffran, was wont to observe that learning takes calendar time as well as studying time. A student cannot master a concept merely by putting in a certain amount of hours studying it. It takes some amount of days or weeks or months for a concept to sink in. You could write L = f(T,t) where L is learning, T is the amount of time you spend studying, and t is the passage of calendar time. Throwing more T at a subject brings diminishing returns, unless you also increase t. We can speculate that some of the brain rewiring that takes place is unconscious, and you cannot artificially speed up this process.
Suppose that there is an analogous factor at work at the level of society. That is, scientific discovery depends on calendar time as well as the time that scientists spend working on a problem. It takes a while for X to sink in, and only after X has sunk in can we go on and discover Y.
Alexander sees no reason to expect that we can speed up scientific progress with simple policy changes or institutional tweaks. I am inclined to agree.
But having said that, I can think of institutional habits that may be holding progress back. I probably will write an essay on those. UPDATE: The essay offers two modest reforms.