Entropy limit inside event horizons

In summary, the entropy limit of a horizon is determined by the entropy proportional to the surface area of that horizon. The entropy limit always allows for maximum entropy inside the material that falls into the horizon. However, the entropy limit may not allow for complete dissipation of structure inside in cases where the horizon surface is shrinking. It is possible that gravity causes matter to clump together to offset the decrease in entropy of a shrinking horizon. It is also possible that life forms or galaxies exist on a few planets inside the volume of a shrinking horizon.
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As I understand it, the entropy inside a horizon, the black hole event horizon or the cosmological event horizon, is limited by the entropy proportional to the surface area of that horizon. My question is: does that entropy limit always allow the possibility for maximum entropy of the material inside - to a completely thermalized gas? Or would that horizon entropy limit prevent the complete dissipation of structure inside, in some cases?
 
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For example, stuff falls into a black hole. Then the black hole evaporates and becomes smaller. The smaller surface area means the entropy inside now has a lower upper limit to the entropy for the same amount of stuff that originally fell inside. How does the matter that fell in arrange itself to accommodate an ever decreasing limit to the entropy as the BH evaporates?
 
  • #3
And then there is the cosmological event horizon, the distance at which galaxies are receding faster than the speed of light. We can no longer see galaxies that are further away, and there is an event horizon at that distance that surround us. And associated with that horizon surface is an entropy proportional with the area of that surface.

But we've recently discovered that the expansion of the universe has accelerated. I understand this to mean that the recession speed of receding galaxies has increase, and so the distance at which galaxies are receding faster than the speed of light is getting smaller. So the horizon surface is shrinking and with it the entropy proportional to that surface area must also be decreasing.

The question is how has matter inside the cosmological event horizon accommodated a shrinking horizon and the decrease of entropy of that horizon? Does gravity cause things to clump together to offset this reduction in entropy of a shrinking horizon due to acceleration in expansion? Does life form on a few planets inside the volume of this shrinking horizon? Or do galaxies recede behind the horizon whose entropy is equal to the amount of entropy decrease of the shrinking horizon? Or for that matter, does in fact the cosmological event horizon shrink with accelerated expansion rates.
 

1. What is entropy limit inside event horizons?

The entropy limit inside event horizons refers to the maximum amount of disorder or randomness that can exist within the boundary of an event horizon, which is the point of no return around a black hole.

2. How is entropy limit inside event horizons related to black holes?

The entropy limit inside event horizons is related to black holes because it is a measure of the maximum amount of information that can be contained within the black hole's event horizon. It is directly related to the black hole's surface area and is known as the Bekenstein-Hawking entropy.

3. What happens when the entropy limit inside event horizons is reached?

When the entropy limit inside event horizons is reached, it is believed that the black hole can no longer absorb any additional information. This means that it has reached its maximum capacity and any additional matter or energy that falls into the black hole will be ejected out through powerful jets.

4. Can the entropy limit inside event horizons be exceeded?

No, the entropy limit inside event horizons cannot be exceeded. It is considered to be an absolute limit and cannot be surpassed, no matter how much matter or energy is added to the black hole.

5. How does the entropy limit inside event horizons affect the laws of thermodynamics?

The entropy limit inside event horizons is an important concept in the laws of thermodynamics, specifically the second law which states that the total entropy of a closed system will always tend to increase. The entropy limit inside event horizons demonstrates that there are extreme conditions, such as those found inside a black hole, where this law may not hold true.

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