'Hologram' just seems to be a loose analogy for the concept that 'something complex came from something simple.'
On the other hand, the holographic nail sounds pretty neat.
Think about where Classical Physics breaks down (at the big bang and black holes/singularity).
So if you, as a higher dimensional being, fall into a black hole (a lower dimensional space) where does all that higher dimensional information go? Well like a hologram, the idea is the information gets recorded on the surface of a black hole, or event horizon. In short its like a 3D object being able to exist in/on a 2D plain.
If a hologram doesn't work for you, maybe try thinking about fractal geometry where the perimeter of an object can measure infinity while simultaneously the volume is perfectly measurable and well defined.
It's unclear what is so important about the 'hologram'.
What they really seem to be trying to do is explain how we get something from nothing, with ever more convoluted mathematical abstractions to try and avoid the inherent logical contradiction.
Seriously though, look up how holograms work. There's a lot of thought provoking aspects to them and it's no wonder they've inspired a lot of novel thought about the nature of the universe.
Yes according to Einstein we on a smooth fabric of spacetime that curves in the presence of these 3D objects...but Quantum Mechanics isn't such a smooth universe as you scale downward.
The reason a hologram is interesting is that each of its parts contains the whole. Above book by Michael Talbot is a good introduction to the topic.