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Basically, knowledge has a finite cap based on your number and productivity of research.
Let's say that cap is 1000 because at 1000 you have exactly enough researchers to keep your knowledge stable.
If you ARE at that cap and then something happens to reduce your number or productivity of researchers, your knowledge is going to decline.
If the knowledge declining is free (as in you haven't yet spent it), that's fine. But knowledge that's invested can also decline (presumably simulating knowledge lost due to lacking interest or investment into the fine arts), disabling the research in question.
You either lost researchers, efficiency in one or more of your libraries or you're using up/producing less paper for your researchers to use.
Build another library or two and you should be aight. They'll retrieve the knowledge you lost and you can invest it into more science again.
knowledge is lost each second. It's regained by researchers in the library. So one needs to keep the librarians working constantly in order to keep the knowledge. Lack of library workers, or degrade within the library, or lack of paper could ruin it.
Knowledge degrade is a static % per year. A researcher with paper is creating X amount of knowledge per year. I've balanced these numbers so that the natural balance occurs at 100 knowledge per person, although this seems a bit off, so in reality it's about 60. With tech, you increase the 'X', so there will be more and faster knowledge production. So there are no drawbacks from increasing knowledge technologies, or other techs. For stable knowledge, set a high priority for libraries and paper production, and keep 100 knowledge as a buffer.
If you're still at the stage where you're struggling with unlocking things like gemstone mining, you're better off just stacking more libraries and researchers.
That's me in the spotlight
Losing my knowledge
Then something happened with your researchers. Knowledge is a capacity, and libraries act as a multiplier.
It doesn't anymore the library just multiplies lab output.