Physics – Optics
Scientific paper
2011-12-05
Physics
Optics
11 pages, 2 figures
Scientific paper
Recently we demonstrated that mapping of monochromatic extraordinary light distribution in a hyperbolic metamaterial along some spatial direction may model the flow of time in a (2+1) dimensional Minkowski spacetime and create an experimental model of the big bang cosmology. Here we study optical properties of this model at low light levels, and demonstrate that it may be used to emulate a fully covariant version of quantum mechanics in a (2+1) dimensional Minkowski spacetime in which the "time" and "space" operators enter all equations in a completely symmetric fashion. When quantum mechanical description is applied near the moment of toy big bang, the Everett's "universal wave function" formalism arises naturally, in which the wave function of the model "universe" appears to be a quantum superposition of mutually orthogonal "parallel universe" states.
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