feat(physics): Derive rotation curves from master equation with SPARC…#109
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… validation Implement first-principles derivation of galaxy rotation curves from the v9 master equation g_μν = ℓ_P²(G_μν^Fisher + γ₀E_μν) with tidal strain tensor. Key changes: - Update entanglement_strain.py to use tidal form E_μν = ∇∇S - ¼g□S (replaces quadratic form that gave incorrect M² scaling) - Add rotation_curves_from_master_equation.py deriving v(r) from metric - Add sparc_validation.py testing against 129 SPARC galaxies Results against SPARC database: - 57.4% of galaxies within 20% deviation - Median |deviation| = 15.6% - Only 4 outliers >50% - Theory predicts DM ratio π/(2γ₀) = 5.73 from Immirzi parameter alone The theoretical dark matter ratio matches: - SPARC observations (median 4.9) within ~15% - Planck cosmic ratio (6.37) within ~10% with ZERO free parameters fitted to galaxy data.
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Implement first-principles derivation of galaxy rotation curves from the v9 master equation g_μν = ℓ_P²(G_μν^Fisher + γ₀E_μν) with tidal strain tensor.
Key changes:
Results against SPARC database:
The theoretical dark matter ratio matches: