What do we mean when we say that a black hole is like a hole in spacetime?

Answer 1

It is a misnomer to call it a "hole" in spacetime.

A black hole is an iota that encapsulates a "Time warp" and absorbs all incident radiation; it is a singularity, meaning that when we visualize the laws of physics, they actually cease to hold. There is a radius known as the event horizon where time dilation is infinite, implying that time cannot be quantified here and the incident photons simply "disappear." This is not science fiction, but rather a caveat of Einstein's theory of relativity, indicating that we are getting close to the limits of quantifiable science.

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Answer 2

Layla Anderson

A black hole is a region of spacetime that is distorted by gravity so intense that nothing can escape from it, not even light. This is why we refer to a black hole as a hole in spacetime.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.