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The problems with accelerating at 1 g to produce gravity within your spaceship is that as you begin to approach the speed of light not only is more power required due to your increase in mass but that the CBMR with which space is filled begins to look like gamma radiation.
Or is my best bet to make the parts of the ship such as gym sleeping and mess use centrifugal force and let the command and engineering have have artificial gravity.
Imagine trying to eat your meals with normal cutlery.
If you could produce strong gravitational attraction between the two ends, you wouldn't even need the cable.......oh, forget it.
Your centrifugal force is an outward force.