HPC Tier Module

Weyl psi4 Spin-Weighted Mode Decomposition

Section B (Task B.1) of the BBH -> waveform pipeline: decompose the Newman-Penrose Weyl scalar psi4 on an extraction sphere into its gauge-invariant spin-weighted spherical-harmonic mode coefficients C_lm.

This tool runs inside GDBS HPC. What it computes and the authorities it applies are below.

What it is

Section B (Task B.1) of the BBH -> waveform pipeline: decompose the Newman-Penrose Weyl scalar psi4 on an extraction sphere into its gauge-invariant spin-weighted spherical-harmonic mode coefficients C_lm. Specify the mode content of a psi4 field; the plugin reconstructs psi4(theta,phi) = sum c_lm (-2)Y_lm and re-projects it by Gauss-Legendre quadrature (C_lm = integral psi4 conj(-2)Y_lm dOmega), recovering the coefficients exactly to quadrature precision - the analytic self-check of the extraction operator. It reports the condition number of each projection sum, which also separates present modes from spurious machine-zeros. The quadrature runs in plain f64, so GeoNum drift is reported as explicitly untracked rather than given a fabricated verdict. This is the JS twin of the native Rust operator (wasm/src/bssn/weyl.rs), validated to ~2e-6 against a linearized wave. It validates the DECOMPOSITION math only - not merger-waveform accuracy, which is the engine plus the pending SXS cross-validation.

Honest scope

Deterministic and citation-backed: every figure is exact arithmetic or a cited rule. Any year- or jurisdiction-indexed value is a confirmable input, never an eternal hardcode. This is a computation tool, not professional (legal, tax, medical, or financial) advice - confirm against the controlling authority for your context.

Authorities cited

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