For a while, a question has been without answer in my mind. In recent conversation, I have brought it up but had a hard time explaining it. I decided to write it out to help organize my thoughts and help other people understand my thinking in hopes that either I find the answer in sorting it out or someone else comes up with a answer that solves the paradox in my mind. For the purpose of the example, let's assume that instant communication with quantum entanglement (or some other system) is possible.
Any thoughts?
Mr. Smith is traveling through space at high speeds. Mr. Brown is on earth. When Mr. Smith passes earth at supersonic speeds, he fires two photons, one in front of him and one behind him. he has set up sensors that move with his ship that detect when the photon he fired hits them. These sensors do not change the course of the photons, they merely detect them.When they detect them, they send an instant message to the control board witch records the time it received each one. According to time dilation, if they are each equal distances away from the origin of the photons, they should both receive the same time.
Mr. Brown, who is on earth, also has two sensors. They are also each an equal distance away from where the photons were released. They also should also receive them at the same time.The problem? For Mr. Smith's readings to be the same, his space ships time will both have to speed up (for the photon sent behind it) and slow down (for the photon sent in front of it).
Any thoughts?
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