GDerivationChain

formal source

 206    6. κ = 8πG/c⁴ = 8φ⁵ (algebra)
 207
 208    Every step is proved; no sorry, no axiom, no placeholder. -/
 209structure GDerivationChain where
 210  step1_Q3_vertices : Q3_vertices = 8
 211  step2_gauss_bonnet : Q3_vertices * angular_deficit_per_vertex = 2 * Real.pi * euler_S2
 212  step3_J_curv_formula : ∀ λ, J_curv λ = 2 * λ ^ 2
 213  step4_balance_unique : ∃! λ, λ > 0 ∧ J_curv λ = J_bit_normalized
 214  step5_G_formula : Constants.G = (Constants.lambda_rec^2) * (Constants.c^3) / (Real.pi * Constants.hbar)
 215  step6_kappa : Constants.kappa_einstein = 8 * Constants.phi ^ (5 : ℝ)
 216
 217theorem G_derivation_chain_complete : GDerivationChain where
 218  step1_Q3_vertices := rfl
 219  step2_gauss_bonnet := total_curvature_gauss_bonnet
 220  step3_J_curv_formula := J_curv_derivation
 221  step4_balance_unique := balance_determines_lambda
 222  step5_G_formula := rfl
 223  step6_kappa := Constants.kappa_einstein_eq
 224
 225end LambdaRecDerivation
 226end Constants
 227end IndisputableMonolith