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Let's start with our universe, and a nice little piece of hyperspace to move into. The latter is a perfectly closed system from our universe once we're going. So we take a structure...let's be conservative and say the mass of a gas giant...and start accelerating it. Given enough energy, it...

It came to me in a dream to build a pocket space where a ship would be running in circles while accelerating enough to witness an entropy decrease in a reasonable amount of subjective time. How much mass would we need to annihilate for moving a reasonably unreasonable megastructure to this speed?