I have thought of an experiment to test for statistical significance in a quantum entangled system. The proposed experiment is as follows:
Suppose there are 3 entities all in a straight line from each other, as a graph Z is at 0,0 B is at 44,44 and C is at 90,90. B is emitting quantum entangled particles to both Z and C. Z and C have both decided on a system where C has a polarized filter that only allows up or down, and Z measures the particles until it has obtained spin up or down 3 times in a row, then it rotates a polarized filter 90° for the next 5 particles to send a binary code where up would equal 1 and down would equal 0. C then knows if it receives 3 up or 3 down in a row followed by 5 particles absorbed by the filter and therefore not observed, that it got a 1 or 0. C measures every particle slightly later than Z as it is slightly further away from B. Would that send a statistically significant amount of data across Spacetime faster than light, or is it still random?
I ask wondering if this is definitively disproven by other experiments or theories, or if it is worth performing the experiment to find the results? Were this to be attempted how would one run the experiment on a technical level and what current technology/techniques could be used to perform it.
I am less interested it the actual results and more interested in whether this experiment is fundamentally flawed. If not how would one would preform it in the real world.
If I am not being clear enough, I am not making sense at all, or if this question doesn't belong here, please let me know in the comments. Simply down voting tells me nothing. Thank you.