According to the Big Bang theory, our universe started out as a singularity. In what did the singularity exist if nothing existed prior to the Big Bang?
No one knows for sure.
A singularity occurs when the equations, in this case of General Relativity (GR), have a condition where a division by zero occurs. In terms of GR there are singularities at the Big Bang and in black holes. When a singularity occurs in equations of physics it means that the equations break down and can't describe the event as they stand.
General Relativity describes the universe well except in extreme conditions such as the Big Bang. Quantum effects would dominate at such conditions and currently General Relativity and Quantum Mechanics have not been unified. We need new theories to describe the Big Bang.
Also, it makes no sense to say "before" the Big Bang. All time and space was created at the Big Bang, so there was no before.
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Scientists continue to disagree about what existed before the Big Bang. The singularity itself is a boundary where current scientific knowledge of physics ends, so talking about anything that existed before it is currently outside the purview of science.
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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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