Posted 02 July 2013 - 09:35 PM
I haven't read about the Holographic universe to be perfectly honest, but other dimensions can be effectively represented in other ways so the laws of the universe don't change.
Using maps as an example, elevation is often indicated by colour on a 2D surface. So, equally, the universe could be represented as a colourful 2D sheet. Equally it could be represent as a coloured 1-dimensional line with a third "hypercolour" property that defines the third dimension.
The opposite of doing this is to assign a property of the universe that we can observe (such as the curvature of space due to gravity) to its own dimensional axis, which is essentially what is happening in all those "rubber sheet" demonstrations of gravity which you have probably seen - gravity is being represented as a 4-dimensional effect in an apparently 3-dimensional universe.
Going back to our universe of reduced dimensions - all physical laws would operate in the same way because these colour and hypercolour properties would presumably be representable on a continuous spectrum upon which (speaking mathematically) each shade could be assigned a number which could be translated onto a dimensional axis.
Following on from this analogy... just as reducing the (apparently) 3D universe to only 2 "real" dimensions could be a mathematical "simplification", it is perhaps possible from some perspective that it is actually a mathematical overcomplication to consider each of the 3 spatial dimensions as equivalent, and, in fact, each represents some unique property which we can (presumably) not perceive, and their apparent equivalence is just an illusion of our viewpoint (from, obviously, within this universe of ambiguous dimensions).
Not sure if that was the sort of answer you were looking for but hopefully you find it of some use in your understanding.
-
like x 1