- #1
skowalcz
- 31
- 0
Hi there..
If was wondering about the relation between information and entropy, in the following context.
The way I understand Gerard 't Hoofd's holographic principle is this. We know that the entropy of a black hole is A/4. Now suppose that a volume V was found to have an excess in entropy of a black hole just big enough to fit inside V. By throwing in additional matter we could form such a black hole. But... this gives problems with the second law. The entropy decreases by this proces. Conclusion: the maximum entropy of a volume V is given by the area of it's boundary (in certain units).
In an article in the Scientific American (aug. 2003) Bekenstein says that the maximum information in a given volume is bounded by the area.
I don't see this relation between entropy and information clear.
If was wondering about the relation between information and entropy, in the following context.
The way I understand Gerard 't Hoofd's holographic principle is this. We know that the entropy of a black hole is A/4. Now suppose that a volume V was found to have an excess in entropy of a black hole just big enough to fit inside V. By throwing in additional matter we could form such a black hole. But... this gives problems with the second law. The entropy decreases by this proces. Conclusion: the maximum entropy of a volume V is given by the area of it's boundary (in certain units).
In an article in the Scientific American (aug. 2003) Bekenstein says that the maximum information in a given volume is bounded by the area.
I don't see this relation between entropy and information clear.