Next Article in Journal
A Unique Mathematical Derivation of the Fundamental Laws of Nature Based on a New Algebraic-Axiomatic (Matrix) Approach
Next Article in Special Issue
Gravitational Waves, μ Term and Leptogenesis from BL Higgs Inflation in Supergravity
Previous Article in Journal
Oscillating Stars and the Evidence of Dark Matter. A Comment on “Can the Periodic Spectral Modulations Observed in 236 Sloan Sky Survey Stars Be Due To Dark Matter Effects?” by F. Tamburini and I. Licata
Previous Article in Special Issue
Thermally Induced Effective Spacetimes in Self-Assembled Hyperbolic Metamaterials
Article Menu
Issue 3 (September) cover image

Export Article

Open AccessArticle
Universe 2017, 3(3), 66; https://doi.org/10.3390/universe3030066

Extra-Dimensional “Metamaterials”: A Model of Inflation Due to a Metric Signature Transition

Electrical and Computer Engineering Department, University of Maryland, College Park, MD 20742, USA
Received: 2 June 2017 / Revised: 13 September 2017 / Accepted: 18 September 2017 / Published: 20 September 2017
(This article belongs to the Special Issue Inflationary Universe Models: Predictions and Observations)
Full-Text   |   PDF [497 KB, uploaded 20 September 2017]   |  

Abstract

Lattices of topological defects, such as Abrikosov lattices and domain wall lattices, often arise as metastable ground states in higher-dimensional field theoretical models. We demonstrate that such lattice states may be described as extra-dimensional “metamaterials” via higher-dimensional effective medium theory. A 4 + 1 dimensional extension of Maxwell electrodynamics with a compactified time-like dimension is considered as an example. It is demonstrated that from the point of view of macroscopic electrodynamics an Abrikosov lattice state in such a 4 + 1 dimensional spacetime may be described as a uniaxial hyperbolic medium. Extraordinary photons perceive this medium as a 3 + 1 dimensional Minkowski spacetime in which one of the original spatial dimensions plays the role of a new time-like coordinate. Since the metric signature of this effective spacetime depends on the Abrikosov lattice periodicity, the described model may be useful in studying metric signature transitions. View Full-Text
Keywords: metamaterial; inflation metamaterial; inflation
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Smolyaninov, I.I. Extra-Dimensional “Metamaterials”: A Model of Inflation Due to a Metric Signature Transition. Universe 2017, 3, 66.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Universe EISSN 2218-1997 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top