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what is a black hole mathematically. A black hole is formed when a star of sufficient mass undergoes gravitational collapse with most or all of its mass compressed into a sufficiently small area of space causing infinite spacetime curvature at that point a singularity. A place where matter is compressed down to an infinitely tiny point and all conceptions of time and space completely.
The theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole. A black hole is a tremendous amount of matter crammed into a very small in fact zero amount of space. A black hole as you probably know is comprised of a singularity where if we define the black hole on an x-y-z plane is a vertical limit approaching negative infinity on the z-axis.
As a result black holes are not visible to the eye although they can be detected from the behavior of light and matter nearby.
And because black holes are very massive and they are very small their gravity is very strong and creates a very large curvature of spacetime. Black holes are awe-inspiring yet intimidating ubiquitous yet invisible a phenomenon defined by contradiction. A black hole is a tremendous amount of matter crammed into a very small in fact zero amount of space. As a result black holes are not visible to the eye although they can be detected from the behavior of light and matter nearby.