Extra-Dimensional “Metamaterials”: A Model of Inflation Due to a Metric Signature Transition
| dc.contributor.author | Smolyaninov, Igor I. | |
| dc.date.accessioned | 2023-11-28T17:02:47Z | |
| dc.date.available | 2023-11-28T17:02:47Z | |
| dc.date.issued | 2017-09-20 | |
| dc.description.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. | |
| dc.description.uri | https://doi.org/10.3390/universe3030066 | |
| dc.identifier | https://doi.org/10.13016/dspace/raws-ooz9 | |
| dc.identifier.citation | Smolyaninov, I.I. Extra-Dimensional “Metamaterials”: A Model of Inflation Due to a Metric Signature Transition. Universe 2017, 3, 66. | |
| dc.identifier.uri | http://hdl.handle.net/1903/31500 | |
| dc.language.iso | en_US | |
| dc.publisher | MDPI | |
| dc.relation.isAvailableAt | A. James Clark School of Engineering | en_us |
| dc.relation.isAvailableAt | Electrical & Computer Engineering | en_us |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_us |
| dc.relation.isAvailableAt | University of Maryland (College Park, MD) | en_us |
| dc.subject | metamaterial | |
| dc.subject | inflation | |
| dc.title | Extra-Dimensional “Metamaterials”: A Model of Inflation Due to a Metric Signature Transition | |
| dc.type | Article | |
| local.equitableAccessSubmission | No |