Will science end?

[Radar]

You're still assuming all questions are of equal value. Discovering QM raised many questions, but the value of those answers depends on prior answers. The QM hole seems bigger now only because of your perspective which puts everything before QM and relativity in the "trivial" bucket and out of sight.

Not really. I just assume that the set of unknowns is not known and we cannot reasonable asses its size or predict if it is finite at all.

QM absolutely solves more questions than classical mechanics (as classical mechanics is, in a sense a special case of QM), but these new questions are by definition inferior because they're further away from human experience. There's no science without empiricism and there's no empiricism without experience.

There is no connection between significance of a question (or an answer) and direct human experience; not sure why you assume that at all. Empiricism also has not much to do with everyday experience - it is about the need to conduct well designed experiments more often than not performed in highly controlled conditions in order to falsify a given theory.

Significance of a problem in science is more about how widely encountered it is or (more importantly) how many narrow fields would the answer influence.

And I would not say that quantum mechanics is detached from our everyday lives - our whole modern society relies on it as electronics could not have been developed without it at all. Without quantum mechanics there would be no understanding of semiconductors or the idea of a transistor. We would not have lasers and many, many other things we take for granted and do not even notice around us. It is also important to remember that QM was the first theory capable of giving the whole chemistry proper grounding - without QM chemistry would be just a collection of empirical bits and pieces without any way of being unified into a coherent theoretical framework without which we would not be able to fully study and design new materials.

Even advancements in mathematics have significant applications as we could not have the Internet as it is without a proper foundation. Most development of novel algorithms is also pure mathematics.