Can physicists reflect a little on this thought and bewilder our small minds by their answers?

Question

Assuming a space ship designed in a circular fashion with a diameter equal to one kilometer. If the ship has a translational motion and a circular motion in space making one revolution around itself in a minute (1rpm). The outward surface would be traveling at Dpi every minute or 3.14 kilometers/min or (52 m/s.) Now if we extend the radius of the space ship 1000 times making the diameter to be 1000 kilometers, then the outward surface of the ship would travel 52 kilometers/second.

If the need arose as we progress in our technology through the years assuming that nuclear energy is used to power the ship and at a certain stage we decided to enlarge that ship's diameter 10,000 times its previous dimensions. At this point we would have the outward surface travel at a speed = 520,000 k/s, while the speed at 500 meters from the center of the ship travels only at 52 m/s. what are the possibilities to extend that outward surface to make it travels beyond the speed of light? And what would prevent us to make the ship rotates at that speed?

Answer 1

Instead of a solid circular space ship, let's imagine that we a fleet of smaller ships arrayed out concentric rings, tethered by rope or whatever. Then the outermost ring of ships still have the same trouble even approaching the speed of light (let alone exceeding it) as ships travelling in a straight line. It takes infinite energy to do that. It doen't matter that the innermost rings of ships have no problem in achieving the same angular speed. The fallacy of your conejcture is assuming that such a solid circle space ship can be infinitely rigid, and even if we assumed that it could be, it would still require infinite energy to get it up to rotational speed at those dimensions. In short, Newtonian mechanics of rotating disks wouldn't apply, we'd have to consider relativistic effects.

By the way, that is why astronomers have been so puzzled with the way galaxies are observed to rotate, the outermost regions seem to be rotating faster than what Newtonian physics would predict. That is the reason why "dark matter" and "dark energy" theories have come up, to account for this anomaly.