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formal statement (Lean)
140def ReggeConvergenceHypothesis : Prop :=
proof body
Definition body.
141 ∀ (g : MetricTensor),
142 (∀ x, metric_matrix_invertible_at g x) →
143 ∃ (rate : ℝ), rate > 0 ∧
144 True -- Placeholder for: |S_Regge[T_N] - S_EH[g]| ≤ C · a^rate
145
146/-! ## §6 The Complete Bridge Certificate -/
147
148/-- The complete discrete-to-continuum bridge certificate.
149
150 This packages everything needed to conclude that N → ∞ J-cost lattice sites
151 with defect-sourced metric perturbation produce the Einstein field equations
152 in the coarse-graining limit. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
-
bridge_certificate
in IndisputableMonolith.Relativity.Geometry.DiscreteBridge
decl_use
-
DiscreteContinuumBridge
in IndisputableMonolith.Relativity.Geometry.DiscreteBridge
decl_use
-
end_to_end
in IndisputableMonolith.Relativity.Geometry.DiscreteBridge
decl_use
depends on (14)
Lean names referenced from this declaration's body.
-
bridge
in IndisputableMonolith.ClassicalBridge.Fluids.CPM2D
decl_use
-
complete
in IndisputableMonolith.Complexity.SAT.Backprop
decl_use
-
MetricTensor
in IndisputableMonolith.Foundation.Hamiltonian
decl_use
-
defect
in IndisputableMonolith.Foundation.LawOfExistence
decl_use
-
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
-
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
-
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
-
MetricTensor
in IndisputableMonolith.Gravity.Connection
decl_use
-
MetricTensor
in IndisputableMonolith.Meta.Homogenization
decl_use
-
that
in IndisputableMonolith.NumberTheory.PhiLadderLattice
decl_use
-
Bridge
in IndisputableMonolith.RecogSpec.Core
decl_use
-
metric_matrix_invertible_at
in IndisputableMonolith.Relativity.Geometry.DiscreteBridge
decl_use
-
MetricTensor
in IndisputableMonolith.Relativity.Geometry.Metric
decl_use
-
S_EH
in IndisputableMonolith.Relativity.ILG.Action
decl_use