Projection Asymmetry in Toroidal Coupling: IE-002 and the Directional Structure of Coupling Geometry

Key Points

• This research aims to establish the nature of coupling geometry and its directional properties.
• Introduced the projection asymmetry invariant to analyze coupling geometry.
• Utilized 20 eccentric BBH waveforms from SXS catalog.
• Examined spherical harmonic amplitude ratios and phase differences for analysis.
• Demonstrated a sign reversal in h21 mode across varying eccentricities.
• Transformed the understanding of coupling from a scalar to a directional quantity.