Do we live in a 2-D hologram?

Much like characters on a television show would not know that their seemingly 3-D world exists only on a 2-D screen, we could be clueless that our 3-D space is just an illusion. The information about everything in our universe could actually be encoded in tiny packets in two dimensions. ((Fermilab. Press Release, August 26, 2014. http://www.fnal.gov/pub/presspass/press_releases/2014/2-D-Hologram-20140826.html))