The n-wave scattering amplitude for deep-water surface gravity waves in the two-negative-wavenumber sector equals the volume of the hydrotope polytope.
Topological Origin of Equatorial Waves
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
Topology sheds new light on the emergence of unidirectional edge waves in a variety of physical systems, from condensed matter to artificial lattices. Waves observed in geophysical flows are also robust to perturbations, which suggests a role for topology. We show a topological origin for two celebrated equatorially trapped waves known as Kelvin and Yanai modes, due to the Earth's rotation that breaks time-reversal symmetry. The non-trivial structure of the bulk Poincar\'e wave modes encoded through the first Chern number of value $2$ guarantees existence for these waves. This invariant demonstrates that ocean and atmospheric waves share fundamental properties with topological insulators, and that topology plays an unexpected role in the Earth climate system.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
Schrödinger equation is locally equivalent to a non-relativistic gauge theory via one-form or two-form gauge fields on the probability current, with global topology from phase winding quantization.
citing papers explorer
-
Surface Water Wave Scattering and the Hydrotope
The n-wave scattering amplitude for deep-water surface gravity waves in the two-negative-wavenumber sector equals the volume of the hydrotope polytope.
-
The Schrodinger Equation as a Gauge Theory
Schrödinger equation is locally equivalent to a non-relativistic gauge theory via one-form or two-form gauge fields on the probability current, with global topology from phase winding quantization.