The principle that the maximum amount of information or entropy a volume of space can hold is proportional to its surface area apparently applies to all space, not just black holes. Since volume grows asymptotically faster than surface area and there there is also a limit on the information per surface area this should imply limits on the possible size, shape and density of the universe. To what extent have these limits been worked out?
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The Bekenstein bound suggests that the entropy within a region of space is limited by the energy contained within that region and the size of the region itself. When applying these bounds to the observable universe, it is important to consider the vast amount of entropy present, particularly due to supermassive black holes. These black holes, which sit at the centers of galaxies, contribute significantly to the universe's total entropy. However, despite the enormous entropy these objects represent, the universe's total entropy is still within the limits set by the holographic bound.
