In the new theory (Interval Quantum Mechanics), a quantum state isn't a point but a 'package': a set of density matrices bounded by finite expectation intervals. Evolution becomes a deterministic geometric flow, and measurement turns into a volume squeeze that increases information. The method solves the entropy stagnation problem (since von Neumann entropy requires point-like states) and naturally explains paradoxes: wave-particle duality is a smooth scale, and entanglement is just an update of our data. In the limit of infinite precision, ordinary quantum mechanics returns.
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.