The theory that we are holograms projected into three dimensional spacetime from a two dimensional surface is an intriguing possibility. It's a great thought experiment but one that I find hard to believe. This is mostly because the supposed surface whose information we are projected from is the CMB (cosmic microwave background).
This is the two dimensional representation of the inner wall of a sphere of photons we can observe from just after the reionisation event when the observable universe first became translucent to electromagnetic radiation.
While this, in itself, is not a reason for the theory to break down, the intervening time and light generated by other matter is. If we were a hologram from the surface of the CMB then information from the progression of stars over time would not be simultaneously observable. i.e. We can view the light from the CMB at the same time as viewing light from Alpha Centauri or our own star. This is essentially our ability to see multiple snapshots in time all superimposed on top of one another.
Hologrammatic information does not work this way.