The quantum world is usually drawn with points, but real instruments only see blurry spots. Heisenberg and von Neumann long suspected: precision is unattainable. A new theory suggests thinking of states as 'quantum droplets' — regions of possible values, like a droplet of water under a microscope with its fuzzy boundary.
An unexpected conclusion: if we abandon the illusion of precision, paradoxes vanish by themselves. Schrödinger's cat was never both alive and dead — it's just that both possibilities coexist in the fuzzy droplet, and the 'spooky connection' at a distance reduces to ordinary knowledge updating, no faster than light. Standard quantum mechanics turns out to be just an approximation — as if we considered a real droplet as a perfect sphere.
Information in the new theory is simply the volume of the droplet. The more precise the measurement, the smaller the droplet, and knowledge grows — as if fog condenses into a visible form.