Metamaterial model of fractal time

Details Metamaterial model of fractal time Metamaterial model of fractal time

2011-10-11

arxiv.org/abs/1110.2390v2

Physics Letters A 376, 1315-1317 (2012)

Physics

Optics

14 pages, 3 figures, this version is accepted for publication in Physics Letters A

Scientific paper

10.1016/j.physleta.2012.03.001

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.

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