Gravity in Recognition Science
Gravity is the geometric manifestation of ledger constraint density, not a fundamental force.
Mass is identified with ledger density: mass_nonneg proves 0 ≤ massFromSpatialLedger L for any SpatialLedger L, with vacuumLedger having zero mass.
Strain is proportional to ledger density via strainFromLedger. Curvature is then a monotonic function of strain: gravity_is_ledger_curvature proves that for κ > 0, if S₁.J ≤ S₂.J then (curvatureFromStrain S₁ κ).R ≤ (curvatureFromStrain S₂ κ).R.
The full correspondence is consistent: gravity_ledger_consistent and gravity_interpretation_valid establish mass_is_density, curvature_is_strain, and vacuum_is_flat.
The Einstein coupling emerges as κ = 8φ⁵: kappa_rs_closed_form and kappa_pos derive this directly from φ.
The equivalence principle is automatic: equivalence_principle_automatic shows it follows from J-cost symmetry and uniqueness (J(x) = J(1/x)).
Gravity is emergent ledger curvature: gravity_from_ledger proves gravity_from_ledger implies eight_tick = 8 and 0 < kappa_rs, with no separate quantization required.
Energy density equals processing density: energy_processing_bridge proves J-cost is the energy functional, so any energy concentration sources a processing field that induces gravitational curvature.
Galactic parameters are φ-derived: alpha_gravity_eq_two_alphaLock gives α_gravity = 1 - 1/φ, with upsilon_star = φ and linked a₀ via the φ-ladder in a0_phi_ladder_formula.