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Very cool, though I don't like the misuse of technical terms just to sound more important. It's not actually fully 5-dimensional... each 'dimension' has only 2 or 3 states. The first 2 dimensions are limited by the size of your media. The third dimension is based on your laser focal plane resolution (think 'depth perception' in a way) and is currently limited to two layers in optical discs. The there's the color (in this example, 3 colors) and polarization (here, 2 orientations). So it's 12 times more dense than current mainstream technology, with the added benefit of a tighter placement of data on in the plane.

The disruptive technology here is really the use of nanoparticle gold instead of etched polystyrene, and the fact that there is the polarization element. Unfortunately these points are kind of glossed over and lost in the fancy media mumbo-jumbo.