Micro Black Holes: The Possibility of Creating an Extra Dimension

[Gilgamesh]

Would it be possible for an "extra" dimension to be created if a microscopic black hole was made and maintained until it sucked in a mass (a person) and was "turned on and off" infinitely quickly popping in and out of existence so that the gravity doesn't kill a human but the "extra dimension" still exists

 

[Nugatory]

Would it be possible for an "extra" dimension to be created if a microscopic black hole was made and maintained until it sucked in a mass (a person) and was "turned on and off" infinitely quickly popping in and out of existence so that the gravity doesn't kill a human but the "extra dimension" still exists

No, it is not possible. It is as certainly impossible as it is to find two integers, neither equal to one, that when multiplied together give you a prime number; or to find two integers $a$ and $b$ such that $(a/b)^2$ is equal to two. However, to go beyond that "no, not possible" reply requires much more understanding of the math behind the theory of general relativity.

A good start would be Taylor and Wheeler's "Spacetime Physics", which introduces the geometric formulation of special relativity that is a prerequisite for general relativity. Another introduction, which has the great advantage of being free, would be Benjamin Crowell's book.
Once you have SR down cold you can try your hand at general relativity and especially black holes. Crowell has a GR textbook at the same website (lightandmatter.com) as the SR one. Sean Carroll's https://www.preposterousuniverse.com/grnotes/ is also very good - be sure to check out the other links at the bottom.

 

[Nugatory]

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This thread is closed, as the question in the original post has been answered.