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Hi! I have another variation of the time dilation question that has to do with entangled particles: Suppose you have a pair of entangled particles. You put one in a particle accelerator and get it moving at a speed just under the speed of light. However, you take the other entangled particle and set it aside for observation. According to special relativity, the particle in the accelerator should experiences some time dilation due to its very high speed (close to c), and because both of your particles are entangled, the particle you set aside for observation may also experience time dilation (to maintain some sort of symmetry or whatever). So the question is, will you observe the time of the particle you set aside to look at as mysteriously running slower relative to its surroundings (as the clock does on the moving particle)? I understand that you said before that the physics just arent there to make these kinds of predictions (between relativity and QM) but if you were to make an educated guess, would you guess that both entangled particles experience time dilation because of the fact that they are entangled or not? Thank you for your help and opinion! P.S. Just a thought: couldn't such an experiment actually be performed? To my knowledge there are some pretty powerful particle accelerators around the world... if they were to perform this experiment maybe they would be able to finally discover the ties between relativity and QM! Just remember... it was my idea, hahaha. Have a great day!
Question Date: 2010-07-26
Answer 1:

I'm not sure about how quantum entanglement works, but I think you're violating the Heisenberg Uncertainty Principle by manipulating your entangled particles as you do: if you do ANYTHING to a particle, such as put it in an accelerator and rev it up to relativistic velocities, then you change the properties of the particle, including, potentially, its spin. Moreover you can't necessarily control the way in which you change the particles (that's the Second Law of Thermodynamics stepping in there). Quantum-entangled particles I believe have to have opposing spin, so if you change the spin of one of your entangled particles, then your particles aren't entangled anymore, thereby defeating the purpose of your experiment.

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