How Does Entropy Influence Hawking Radiation in Black Holes?

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Discussion Overview

The discussion revolves around the relationship between entropy and Hawking radiation in black holes, exploring the concept of entropy, its implications for equilibrium states, and its connection to quantum mechanics and black hole thermodynamics.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that entropy is a measure of disorder and a function of the state of a system, questioning whether it describes the equilibrium state of a system.
  • One participant suggests that the increase in a black hole's surface area is related to an increase in entropy, which implies the existence of temperature and radiation, leading to the concept of Hawking radiation.
  • Another participant provides an analogy involving a marble in a box to illustrate the concept of states in relation to entropy, suggesting that atoms can exist in multiple states.
  • A later reply discusses the quantum state of a system, describing it as a vector containing statistical information about various properties, including location and energy level, and seeks verification of this understanding.

Areas of Agreement / Disagreement

The discussion contains multiple competing views and remains unresolved, particularly regarding the definitions and implications of entropy in the context of black holes and quantum mechanics.

Contextual Notes

Limitations include the lack of clarity on the specific definitions of entropy being used, the dependence on interpretations of quantum mechanics, and unresolved questions about the relationship between entropy and Hawking radiation.

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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