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You cannot see the toys move but you can see if they've moved around or changed something in their environment. That's pretty much how particle physics works.
Particles ganging up on a lone scientist in the lab late at night:
There a whole branch of quantum mechanics research that's trying increasingly complicated ways of not looking at the particles while trying to sneak a look.
I once read somewhere that our current approach with accelerators is like studying the inside of a walnut by smashing them with a very large hammer.