It's Not Entirely Crazy to Think the Universe Could Exist in a Hologram

So, am I very far off in my belief that a reasonable "lay" explanation why the universe should be "holographic" (i.e. embodies one fewer dimension than we perceive) is that the universe adheres to the uncertainty principle?

i.e. The uncertainty principle says we can never measure all four space-time dimensions of a particle; we must always sacrifice one entirely or accuracy in two or more. What more reasonable explanation than that there are in fact only three dimensions to start with?

(Note that the uncertainty principle naturally arises from other systems when viewed at a higher dimensionality. e.g. Any one-dimensional signal, such as sound, exhibits uncertainty when viewed in two dimensions, such as time vs. frequency.)