If the law of physics that determines maximum density of matter is broken during the initial creation of a black hole, then shouldn't all laws of physics be invalidated within the event horizon (Schwarzschild radius) of a black hole?
Several laws of physics as we know them don't work inside a black hole.
Since light cannot escape a black hole's event horizon, our current understanding of physics cannot explain the interior of a black hole, which is why the Schwarzschild solution to the General Theory of Relativity was the first to predict the existence of black holes.
The singularity, which is a point of infinite curvature of space time and infinite density inside a black hole, is predicted by our physics and needs to be eliminated whenever an infinity arises in mathematics or physics. General Relativity breaks down at the singularity.
There is also the information paradox, which is being resolved by Stephen Hawking's theory, according to which the information is stored in the event horizon. If something falls into a black hole and information about its state is lost, this is not permitted by the laws of physics as they currently exist.
Black holes are real, but they cannot be explained by the laws of physics as they currently stand.
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The event horizon of a black hole is not a place where the laws of physics break down. Instead, they remain valid, but the extreme conditions that exist there put our understanding of physics to the test. For example, the concept of density as we know it vanishes in the center of a black hole, where the gravitational force is so strong that it cancels out all other forces. This is a region that defies explanations from current physics, especially from the theory of general relativity.
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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.
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.
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.
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.
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