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formal statement (Lean)
91structure OptimalConfig where
92 r_mass : ℝ
93 r_light : ℝ
94 mass_pos : 0 < r_mass
95 light_pos : 0 < r_light
96 /-- Observable: flux exceeds threshold -/
97 observable : True -- Simplified constraint
98 /-- Optimal: minimizes J_total -/
99 optimal : ∀ r_m r_L : ℝ, 0 < r_m → 0 < r_L →
100 J_total r_mass r_light ≤ J_total r_m r_L
101
102/-! ## The Derived M/L Ratio -/
103
104/-- At the optimum, scale ratios are related by φ.
105
106The constraint that both mass assembly and light emission are
107observable, combined with J-minimization, forces:
108 r_mass / r_light = φ^n for some integer n -/
depends on (14)
Lean names referenced from this declaration's body.
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J_total
in IndisputableMonolith.Astrophysics.ObservabilityLimits
decl_use
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scale
in IndisputableMonolith.Cosmology.LargeScaleStructureFromRS
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forces
in IndisputableMonolith.Foundation.MagnitudeOfMismatch
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Observable
in IndisputableMonolith.Foundation.RecognitionForcing
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for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
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Observable
in IndisputableMonolith.Measurement.RSNative.Core
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and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
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that
in IndisputableMonolith.NumberTheory.PhiLadderLattice
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mass_pos
in IndisputableMonolith.Physics.MesonSpectrumFromPhiLadder
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Observable
in IndisputableMonolith.Quantum.Observables
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L
in IndisputableMonolith.Recognition
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M
in IndisputableMonolith.Recognition
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L
in IndisputableMonolith.Recognition.Cycle3
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M
in IndisputableMonolith.Recognition.Cycle3
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