In the Asimov short story "Escape!" (part of the Susan Calvin series), Powell and Donovan are set by US Robotics to test a spaceship with a hyperspatial drive.
They, at one point claim they have been on the ship for 5 days, whereas I believe Dr Calvin requests 48 hrs to speak to the Brain. I can't perfectly tell if these two times are coterminate or not, but if there are they only travelled at a fraction of c, not faster than it as might be claimed.
So do they experience relativistic time dilation? Or are they subject to other 'physics'?
Answer
No, the hyperspatial jumps were non-inertial and so Special Relativity never came into play. Also, if the ship had traveled outward at relativistic speeds and returned, it would be the travelers (Powell and Donovan) who would experience the shorter elapsed time, not the stationary observer (Calvin).
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