Vortex reconnections over time are dual to single rotating vortices over space, both forming saddle-shaped surfaces in spacetime, with applications to optical vortices and magnetic reconnections.
Longitudinal and transverse components of a vector field
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abstract
A unified account, from a pedagogical perspective, is given of the longitudinal and transverse projective delta functions proposed by Belinfante and of their relation to the Helmholtz theorem for the decomposition of a three-vector field into its longitudinal and transverse components. It is argued that the results are applicable to fields that are time-dependent as well as fields that are time-independent.
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physics.optics 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Spatiotemporal representation of a two-vortex reconnection as a single rotating vortex
Vortex reconnections over time are dual to single rotating vortices over space, both forming saddle-shaped surfaces in spacetime, with applications to optical vortices and magnetic reconnections.