Fortunately, Captain Kirk was still in orbit. He had Scotty beam the boots aboard just as the transformation was taking place, did a slingshot around the sun, and time-warped back to a point before Tom became a black hole to deliver the boots.
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People assume that time is a strict progression of cause to effect. But actually, from a non-linear, non-subjective viewpoint, it's more like a big ball of wibbly-wobbly, timey-wimey... stuff.
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