- #1
HowardTheDuck
- 33
- 0
Hi Guys, I've been struggling over a problem with the Bekenstein Bound, and I wonder if someone can help, please.
The Bekenstein Bound is derived from the entropy of black holes, and says that the maximum information content of a region of space is proportional the area of that region, not the volume of that region (which might be expected).
So if I have a cube whose sides are 2x2x2, the area (and hence the maximum information content of the cube) is going to be 4x6= 24 units.
But I could divide that cube into 8 smaller cubes with sides 1x1x1 and hence the area of all those cubes is going to be 6x8 = 48 units.
So it seems like the maximum information content of the region is not 24 at all, it could be 48 or higher. Can anyone see where I am going wrong? Thanks.
The Bekenstein Bound is derived from the entropy of black holes, and says that the maximum information content of a region of space is proportional the area of that region, not the volume of that region (which might be expected).
So if I have a cube whose sides are 2x2x2, the area (and hence the maximum information content of the cube) is going to be 4x6= 24 units.
But I could divide that cube into 8 smaller cubes with sides 1x1x1 and hence the area of all those cubes is going to be 6x8 = 48 units.
So it seems like the maximum information content of the region is not 24 at all, it could be 48 or higher. Can anyone see where I am going wrong? Thanks.