Metamaterial model of fractal time
arXiv:1110.2390 · doi:10.1016/j.physleta.2012.03.001
Abstract
While numerous examples of fractal spaces may be found in various fields of science, the flow of time is typically assumed to be one-dimensional and smooth. Here we present a metamaterial-based physical system, which can be described by effective three-dimensional (2+1) Minkowski spacetime. The peculiar feature of this system is that its time-like variable has fractal character. The fractal dimension of the time-like variable appears to be D=2.
14 pages, 3 figures, this version is accepted for publication in Physics Letters A
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