Lewis, Peter J. (2010) Dimension and Illusion. [Preprint]
Abstract
The world looks three-dimensional unless one looks closely, when it looks 3N-dimensional. But which appearance is veridical, and which the illusion? Albert contends that the three-dimensionality of the everyday world is illusory, and that 3N-dimensional wavefunction one discerns in quantum phenomena is the reality behind the illusion. What I try to do here is to argue for the converse of Albert's position; the world really is three dimensional, and the 3N-dimensional appearance of quantum phenomena is the theoretical analog of an illusion; we represent quantum reality to ourselves as 3N-dimensional in order to more readily visualize the correlations between wave packets.
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