recognition /
Astrophysics /
Astrophysics.NucleosynthesisTiers /
explainer
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formal statement (Lean)
118 theorem ml_nucleosynthesis_eq_phi : ml_nucleosynthesis = φ := by
proof body
Term-mode proof.
119 unfold ml_nucleosynthesis phi_ladder tier_difference
120 simp [nuclear_tier_local, luminosity_tier_local, zpow_one]
121
122 /-! ## Eight-Tick Quantization -/
123
124 /-- Nuclear reactions are quantized by the eight-tick cycle.
125
126 Each nuclear reaction step:
127 1. Requires 8 ticks for one complete recognition cycle
128 2. Releases energy in units of E_coh × φ^{-r} for some rung r
129 3. Updates the ledger with conserved quantities
130
131 This forces tier indices to be integers. -/
used by (5)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (31)
Lean names referenced from this declaration's body.
luminosity_tier_local
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
ml_nucleosynthesis
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
nuclear_tier_local
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
phi_ladder
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
tier_difference
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
rung
in IndisputableMonolith.Compat.Constants
decl_use
step
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
complete
in IndisputableMonolith.Complexity.SAT.Backprop
decl_use
tick
in IndisputableMonolith.Constants
decl_use
tick
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
rung
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
forces
in IndisputableMonolith.Foundation.MagnitudeOfMismatch
decl_use
phi_ladder
in IndisputableMonolith.Foundation.OntologyPredicates
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
phi_ladder
in IndisputableMonolith.Foundation.StillnessGenerative
decl_use
Tick
in IndisputableMonolith.Foundation.TimeEmergence
decl_use
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
rung
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
Tick
in IndisputableMonolith.Masses.Ribbons
decl_use
Tick
in IndisputableMonolith.Masses.Ribbons.Tick
decl_use
rung
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
Tick
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
one
in IndisputableMonolith.RecogSpec.Core
decl_use
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