English

Microscopic study of effective 2+1 dimensional gravity in ferrofluid-based hyperbolic metamaterials

Optics 2022-12-07 v1 General Relativity and Quantum Cosmology

Abstract

Recent theoretical and experimental work demonstrated that nonlinear optics of ferrofluid-based hyperbolic metamaterials exhibits very unusual 2+2-dimensional spatiotemporal dynamics. Here we report a detailed microscopic study of mutual interactions of individual self-focused optical filaments inside this metamaterial. In agreement with theoretical expectations, the observed mutual interactions of individual filaments exhibit strong similarities with general relativity in 2+1 dimensions. This observation is very important since 2+1-dimensional gravity is an exactly solvable theory even in the quantum gravity limit.

Keywords

Cite

@article{arxiv.2212.02312,
  title  = {Microscopic study of effective 2+1 dimensional gravity in ferrofluid-based hyperbolic metamaterials},
  author = {Vera N. Smolyaninova and Jonathon Cartelli and Nathaniel Christopher and Benjamin Kist and Jonathan Perry and Stephanie Spickard and Mary Sajini Devadas and Igor I. Smolyaninov},
  journal= {arXiv preprint arXiv:2212.02312},
  year   = {2022}
}

Comments

17 pages, 4 figures

R2 v1 2026-06-28T07:22:29.732Z