Black hole propulsion

lets say we made a black hole on earth, and lets say it rotated one million meters per second of rotational speed. Now lets make a machine that could turn rotational energy into velocity . now take a look at the rocket equation. DeltaV= ISP x 9.8(gravitational acceleration) x natural logarithm. i tried my best but i could not calculate the natural logarithm. the ISP is a million, so 1,000,000 x 9.8 is 9,800,000 meters per second of delta V, or thirty times the speed of light. correct me if i am wrong, but based on the theory of general relativity, you go back in time if you go faster than light. if going thirty times faster than light makes you go back one second per second, a mission to proxima centauri for example will take the crew one thirtieth of four years, but to us on earth, it will take a second at most to reach it. i just need to know if this is correct and if anybody can help.

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$