The following is an experiment I have for testing the twin paradox with entangled particles. I am hoping to submit this to NASA's TechRise Future Engineers in 2024 to get the experiment conducted in a high-altitude balloon or preferably a rocket-powered lander.
Take two entangled particles. We can do this by getting a BBO crystal that splits photons into two entangled photons once every so often (see my ER=EPR experiment for more info about this), leaving one of those photons on the ground, and taking the other photon up into high altitudes (this is where the NASA TechRise Challenge comes in handy, as they can take this other photon up to a high altitude+velocity, as well as fund $1500 for this experiment). Now, the photon that was in super high velocities will have the slightest bit of time dilation. So, when we make a measurement (i.e. spin) of the ground photons, how will that affect the time-dilated photon? Will we see a delay? Still an instantaneous response? An experiment will help us see, and according to Dr. Bill Bray, a physicist at the US DoD with a PhD from Princeton, none has been conducted so far. Yes, I do understand the trickiness of trying to avoid decoherence, but with a Faraday cage to block EM waves and a vacuum, we will hopefully be able to do it.
Hopefully, I can get this project accepted in the fall of 2024! Thank you for reading!