Hilbert space has no physical extent or extent in time. Quantum wave functions live in Hilbert space.
Hilbert space has no physical extent or extent in time. Quantum wave functions live in Hilbert space. This means that when you change a parameter in Hilbert space it changes everywhere at the same time. Every single entangled wave function now sees the same modified Hilbert space at the same time. The changes in Hilbert space are transmitted at infinite speed, apparently (It's actually worse than that: if you set up the experiment correctly you can get the Hilbert space to affect particles in the past. Yes, you can change the distribution of measurements on an entangled particle by making another measurement in the future, after the first particle is gone, absorbed in a detector. ) It really is like Einstein said: if you think you understand quantum mechanics then you just haven't been paying attention enough! Quantum mechanical wave functions are weirder than anyone thought they were and they were plenty weird before. Einstein, et al. defined how physical theories work,