The arrow on the left is surrounded by floor ridges and can't be moved. One particle is probably going to use it to turn towards the receiver above it.
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There are actually two slightly different solutions to this puzzle. One of them gives the room its name.
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Have you considered what would happen to an entangled particle if it passes over an arrow at the same time as its partner? Which direction would each turn in?
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The answer is that arrows always take precedence, so rather than being redirected by its pair, a particle will always turn in the direction of an arrow it is passing over.
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You can use this fact to solve this puzzle. Once the particles are split, you'll notice the right-hand particle needs to turn fairly soon, but this sends the left-hand one off course.
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You can keep it on course by placing an arrow at the point it would deviate.
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Split the particle left and right, in line with the fixed up-arrow. Redirect the right-hand particle upwards, but place a left-arrow to prevent the left-hand particle changing direction.