recognition /
Foundation /
Foundation.Hamiltonian /
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formal statement (Lean)
31 noncomputable def inverse_metric (_g : MetricTensor) (_x : Fin 4 → ℝ)
32 (_hi : Fin 4 → Fin 4) (_lo : Fin 4 → Fin 4) : ℝ := 0
proof body
Definition body.
33
34 /-- **DEFINITION: Recognition Hamiltonian Density**
35 The Hamiltonian density H_rec is the Legendre transform of the Lagrangian density L_rec.
36 For the scalar potential Ψ, H_rec = Π (∂₀Ψ) - L_rec. -/
used by (8)
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depends on (16)
Lean names referenced from this declaration's body.
of
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MetricTensor
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of
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in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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of
in IndisputableMonolith.Foundation.SpectralEmergence
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is
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in IndisputableMonolith.Information.PhysicsComplexityStructure
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in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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density
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Hamiltonian
in IndisputableMonolith.Quantum.Observables
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inverse_metric
in IndisputableMonolith.Relativity.Geometry.Metric
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MetricTensor
in IndisputableMonolith.Relativity.Geometry.Metric
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