I'm getting a rough idea of the holographic principle relating the shannon entropy of a boundary surface to the thermodynamic entropy contained within the bounded volume. So far as I understand the primary claim is that the total information needed to describe the entirety of the internal volume if proportional to the area, borrowing the equation for black hole entropy, by the equation S = kA/4. What I'm wrestling with is a sort of application problem. Could this encoded surface be retopologized and fit within the volume which it described? How could this be? What about going the other direction? If we can fully describe space of D+1 dimensions using only D dimensions, would it be possible to take a region of space and have an accurate 2d representation of our entire universe? I have a feeling the answer lies somewhere in the Bekenstein bound. Can anyone help to clarify the situation to me? Danke.