How Does Entropy Influence Hawking Radiation in Black Holes?

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SUMMARY

Entropy is a measure of disorder and is intrinsically linked to the state of a system, influencing its equilibrium. In the context of black holes, increased entropy correlates with an increase in surface area, which leads to temperature and radiation phenomena, specifically Hawking radiation. This radiation occurs when virtual particle pairs are generated at the event horizon, with one particle falling into the black hole and the other escaping. Understanding these concepts is crucial for grasping the relationship between entropy and quantum mechanics.

PREREQUISITES
  • Understanding of basic thermodynamics and entropy concepts
  • Familiarity with quantum mechanics and quantum states
  • Knowledge of black hole physics and Hawking radiation
  • Basic grasp of statistical mechanics and state variables
NEXT STEPS
  • Research the relationship between entropy and black hole thermodynamics
  • Study the principles of quantum mechanics, focusing on quantum state vectors
  • Explore the implications of Hawking radiation on black hole evaporation
  • Investigate the role of virtual particles in quantum field theory
USEFUL FOR

Physicists, astrophysicists, students of quantum mechanics, and anyone interested in the theoretical aspects of black hole physics and entropy.

avito009
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I know that entropy is a measure of disorder. But Entropy is also a function of the state of a system, and has a value determined by the state variables of the system.

Does that mean Entropy describes the equilibrium state of a system. Please explain in layman terms in this context what is Entropy. Please show some example also.

Next since it was known that surface area of a black hole increases due to entropy increase. Also if there was entropy there would be temperature and also radiation. There would be radiation and so there would be quantum mechanical effect whre virtual particles are created one of the pair is sucked inside black hole and one from the pair stays at the event horizon which is hawking radiation.

Just want more insights on the last para.
 
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avito009 said:
Does that mean Entropy describes the equilibrium state of a system. Please explain in layman terms in this context what is Entropy. Please show some example also.

"Please write me a textbook".

People would be more willing to spend their time answering your questions if you were willing to put in more time yourself.
 
I will tell you what I know

Lets take an example. If there is a box with large volume. And if you put the marble in the box and close it. Then you shake the box. The marble could be anywhere. So that's what happens with atoms also. They can be at any states. Many of them could be at the same state.

Please add your comments and tell me if you have an alternate explanation.
 
Something more I learned is to be verified by you people.

I learned that

In quantum mechanics, quantum state refers to the state of a quantum system. A quantum state is given as a vector in a vector space, called the state vector. The state vector theoretically contains statistical information about the quantum system.

The quantum state of a system is indeed its state vector which contains statistical information about it. The particle's location, momentum, wavefunction and.. energy level. Am I right?
 

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