I may be incorrect but the radius of the upper bound of the Bekenstein bound would exceed the length of the lower bound of the whole universe. I came up with my

I may be incorrect but the radius of the upper bound of the Bekenstein bound would exceed the length of the lower bound of the whole universe. I came up with my number using the observable universe as the radius and the planck length as the volume. Your number would far exceed mine, I think. Edit: Ah I'm reading this wrong. You are making the argument that an informational density that large would cause a singularity. You are correct, probably.