Another issue with the Hawking equations

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In summary, the discussion is about the Hawking equations and how they may appear incorrect. The concept of multiplying power and time to get energy is questioned, as the power emitted by a black hole is dependent on its changing mass. Therefore, multiplying the power law by the evaporation time will not give an accurate answer.
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liometopum
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I previously posted on the idea that the Hawking equations looked wrong: https://www.physicsforums.com/showthread.php?t=666962

I returned to this topic recently, and noticed something.

If you multiply power by time, you should get energy. Multiplying the Hawking power by the evaporation time, gives a peculiar answer...see attachment.

ideas?
 

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  • #2
You can't just multiply quantities together and expect a relevant answer. The power law is how much power the black holes emits, which changes depending on the mass. Since the mass changes over time, you can't simply multiply the power law times the evaporation time.
 
  • #3
Just FYI, the power law gives the total power output of the black hole of mass M at a single point in time. As soon as energy is radiated away, the black hole loses mass and the radiated power increases.
 

Related to Another issue with the Hawking equations

1. What is the Hawking equation and why is it important in science?

The Hawking equation, also known as the Hawking radiation formula, is a theoretical equation proposed by physicist Stephen Hawking to describe the radiation emitted by black holes. It is important in science because it helps us understand the behavior and properties of black holes, which are one of the most intriguing and mysterious objects in the universe.

2. What is the issue with the Hawking equations?

One issue with the Hawking equations is that they do not fully account for the effects of quantum mechanics, specifically the concept of entanglement, which is the idea that two particles can become connected in such a way that the state of one particle will affect the state of the other.

3. How does this issue affect our understanding of black holes?

The issue with the Hawking equations means that our current understanding of black holes may be incomplete. It suggests that there may be more complex processes at work in black holes than we previously thought, and that our current models may not accurately describe their behavior.

4. Are there any proposed solutions to this issue?

Yes, there have been proposed solutions to this issue, such as the information paradox, which suggests that the information that falls into a black hole is not destroyed, but instead is encoded in the radiation emitted by the black hole. Other proposed solutions involve incorporating quantum mechanics into the Hawking equations.

5. How might resolving this issue impact our understanding of the universe?

If this issue with the Hawking equations is resolved, it could lead to a deeper and more complete understanding of black holes and their role in the universe. It could also have implications for our understanding of other fundamental concepts in physics, such as the nature of space and time, and the behavior of matter at the smallest scales.

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