# Is there a Maximum Data Density of a Physical Volume?

Is there an established or proven relationship concerning how much data can fit in a given volume of space / spacetime?

Note that because the limit is a surface area proportional to $$r^2$$ and the volume is proportional to $$r^3$$ where r is the radius, large volumes must be less information dense then is possible for some smaller volumes. With the limit of information of the universe identified with the "edge" of the observable universe.