Some questions for want of answers:

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SUMMARY

Black holes grow by acquiring mass from infalling material and shrink through Hawking radiation, eventually evaporating when they can no longer gain mass. The duration of a black hole's existence depends on its mass and evaporation rate. Regarding the singularity before the Big Bang, time did not exist, and its existence is debated among cosmologists, with some suggesting that the singularity may not be real due to our incomplete understanding of physics at that scale. Stephen Hawking's "A Brief History of Time" provides insights into these concepts.

PREREQUISITES
  • Understanding of black hole physics and Hawking radiation
  • Familiarity with cosmological theories regarding the Big Bang
  • Basic knowledge of mathematical concepts related to singularities
  • Awareness of Stephen Hawking's contributions to theoretical physics
NEXT STEPS
  • Read "A Brief History of Time" by Stephen Hawking for foundational concepts
  • Explore the implications of Hawking radiation on black hole lifespan
  • Investigate current cosmological theories regarding the nature of singularities
  • Study the mathematical frameworks used in theoretical physics to understand black holes
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Astrophysicists, cosmologists, students of theoretical physics, and anyone interested in the nature of black holes and the origins of the universe.

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1. How long does a black hole exist?
2. How long did the singularity exist before the big bang?
 
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1. How long does a black hole exist?
Black holes grow as the acquire mass from infalling material and shrink slowly through Hawking radiation. A BH will 'evaporate' when it can no longer gain mass. How long that takes will of course depend on the mass of the BH and the rate of evaporation.

2. How long did the singularity exist before the big bang?
Time itself did not exist before the big bang. You can say the singularity *always* existed, and that it existed for no time at all, and be correct both ways.
 
tadchem said:
2. How long did the singularity exist before the big bang?
Time itself did not exist before the big bang. You can say the singularity *always* existed, and that it existed for no time at all, and be correct both ways.

Similarly, one might say either that the north pole exists everywhere greater than or equal to 90 degrees north latitude or that the north pole exists only at 90 degrees north latitude.

Since there's nothing north of the north pole, both are equivalent.
 
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Naveen345 said:
2. How long did the singularity exist before the big bang?

Unknown. There may not have even been a singularity, and I know one of our Cosmology experts claims that practically no professional Cosmologist actually believes that the singularity predicted in the theory is real. Instead it is believed to be the result of our incomplete knowledge of how physics works at that scale.
 
Naveen345 said:
1. How long does a black hole exist?
2. How long did the singularity exist before the big bang?

There WAS time before the big bang, but it is extremely insignificant. Read on A Brief History of Time by Stephen Hawking which delves into this very concept.
 
Bboy Physics said:
There WAS time before the big bang, but it is extremely insignificant. Read on A Brief History of Time by Stephen Hawking which delves into this very concept.

Maybe we should stick to generally accepted consensus as opposed to speculation?
 
Whovian said:
Maybe we should stick to generally accepted consensus as opposed to speculation?

when a singularity can exist at the centre of a black hole ( this is what rigorous mathematics proves), what can't it exist before the big bang?
 
Naveen345 said:
when a singularity can exist at the centre of a black hole ( this is what rigorous mathematics proves), what can't it exist before the big bang?

Those rigorous mathematics are most likely wrong. It is probable that we don't know how physics works at the scale of black holes, causing our math to cease to accurately represent reality. Remember, there are no "proofs" when it comes to describing the real world. Only pure mathematics has proofs.
 
Naveen345 said:
when a singularity can exist at the centre of a black hole ( this is what rigorous mathematics proves), what can't it exist before the big bang?
Nonsense. "Rigorous mathematics" cannot prove anything about physics. And I doubt that any intelligent mathematician would want to express an opinion as to what a mathematical "singularity" would mean physically.
 
  • #10
No one should believe the result of some Maths without testing its validity. Even the simplest SUVAT calculations can give you an impossible answer if you don't take the right sign for the square root.
 
  • #11
sophiecentaur said:
No one should believe the result of some Maths without testing its validity. Even the simplest SUVAT calculations can give you an impossible answer if you don't take the right sign for the square root.

No wonder my GPS took me to Rhode Island. I knew I should have turned right at Albuquerque.
 

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