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

Vera N. Smolyaninova; Jonathon Cartelli; Nathaniel Christopher; Benjamin Kist; Jonathan Perry; Stephanie Spickard; Mary Sajini Devadas; Igor I. Smolyaninov

arXiv · 2212.02312

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

Vera N. Smolyaninova·Jonathon Cartelli·Nathaniel Christopher·Benjamin Kist·Jonathan Perry·Stephanie Spickard·Mary Sajini Devadas·Igor I. Smolyaninov

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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.

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Vera N. Smolyaninova, Jonathon Cartelli, Nathaniel Christopher, Benjamin Kist, Jonathan Perry, Stephanie Spickard, Mary Sajini Devadas, Igor I. Smolyaninov. 2022-12-02. Microscopic study of effective 2+1 dimensional gravity in ferrofluid-based hyperbolic metamaterials. https://arxiv.org/abs/2212.02312

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