feat(physics): Implement gravitational wave propagation (v8 Section 15)#107
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Add comprehensive GW physics implementation including: Wave Equation (□h_μν = 0): - WaveEquationSolver for 1D and spherical 3D wave propagation - Finite difference scheme with CFL stability condition Polarization & Gauge: - Plus (+) and cross (×) polarization tensors - TT (transverse-traceless) gauge projection - Polarization orthogonality and normalization Binary Inspiral Source: - Quadrupole formula for GW emission - Chirp mass and orbital frequency evolution - Phase and amplitude as functions of time to coalescence Ringdown: - Quasi-normal mode frequency and damping time - Exponential decay with oscillation - Quality factor computation Fisher Metric Connection (v8 Key Result): - h_μν = ℓ_P² · δG_μν^Fisher[δΨ] - Perturbation from quantum state variations Detector Response: - Antenna pattern functions F_+, F_× - Strain response computation - SNR estimation Complete Waveforms: - GravitationalWaveSignal for full IMR (inspiral-merger-ringdown) - Frequency-domain waveforms via stationary phase Also includes Berry curvature additions to quantum_geometry.py: - Quantum Geometric Tensor Q_μν computation - Berry curvature Ω_μν extraction - Kähler structure verification - Complex structure J with J² = -𝟙 Tests: 59 v8 feature tests (139 total), all passing
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Add comprehensive GW physics implementation including:
Wave Equation (□h_μν = 0):
Polarization & Gauge:
Binary Inspiral Source:
Ringdown:
Fisher Metric Connection (v8 Key Result):
Detector Response:
Complete Waveforms:
Also includes Berry curvature additions to quantum_geometry.py:
Tests: 59 v8 feature tests (139 total), all passing