entangled particle consequences

Another important revelation on entangled particles–particles either are un-entangled (resolve only to one particular state) or are entangled (share orthogonal states with one or more other particles). If, say, two particles are entangled, they share a pair of states, such that when one particle resolves to one of the two states, the other particle must resolve to the other. It’s extremely handy to represent this situation with a complex variable where the states are represented by a vector basis (not necessarily the real and imaginary axes). Resolving a particle state (e.g, an electron with spin up or spin down states) means projecting the current superposed pair of states to one or the other basis vector, and if the particle is entangled with another, then the other particle must resolve to the opposite (orthogonal) basis vector.

You can think of this by representing the superposed state of each vector by a sum of waves, each representing one of the basis vectors, that are constantly shifting phase. When one particle resolves in a detector, that wave (basis vector) is removed from the sum, leaving the other particle with only the remaining wave basis vector to resolve to.

But look at this–in the previous post, I said there was evidence that the wave phase information is not affected by distance since entanglement remains in effect regardless of the separation between the entangled particles. Here’s even better evidence, and a new insight, for me, at least: entanglement still happens regardless of what is put in between the particles after they fly apart. You could conceivably put a planet or a star or even a black hole in between the two particles and entanglement resolution would still happen. You could attempt to block every possible Feynman type path between the particles and theory says the particles must resolve to different states. Whoa! The resolving of the entanglement condition is not using the physical space between the separating particles to communicate–the phase information is either coupled via another non-causal dimension–or, my previous hypothesis, there is no distance between the particles as far as wave phase is concerned!! Really, if you think about it, those two ideas can be considered equivalent, since a non-causal dimension really means there is no distance within it, and thus it truly is not a dimension by definition.



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