Metamaterial model of fractal time
Optics
2012-03-22 v2 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1110.2390,
title = {Metamaterial model of fractal time},
author = {Igor I. Smolyaninov},
journal= {arXiv preprint arXiv:1110.2390},
year = {2012}
}
Comments
14 pages, 3 figures, this version is accepted for publication in Physics Letters A