recognition /
Thermodynamics /
Thermodynamics.PartitionFunction /
explainer
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formal statement (Lean)
118 def ledgerProperties : List String := [
proof body
Definition body.
119 "Discrete microstates from ledger entries",
120 "J-cost plays role of energy",
121 "Degeneracy from ledger symmetries",
122 "Conservation laws from ledger balance"
123 ]
124
125 /-! ## The J-Cost Connection -/
126
127 /-- The fundamental connection:
128
129 E_state ↔ J_cost(ledger_entry)
130
131 A low J-cost state is "low energy" and favored.
132 A high J-cost state is "high energy" and suppressed. -/
depends on (18)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
J_cost
in IndisputableMonolith.CondensedMatter.JCostPhaseTransition
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
from
in IndisputableMonolith.Foundation.PrimitiveDistinction
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use