recognition /
RecogGeom /
RecogGeom.RSBridge /
explainer
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formal statement (Lean)
128 def toRecognizer {L E : Type*} [RSConfigSpace L]
129 (m : RSMeasurement L E) : Recognizer L E where
130 R := m.measure
proof body
Definition body.
131 nontrivial := m.nontrivial
132
133 /-! ## 8-Tick Finite Resolution -/
134
135 /-- **Structural Definition**: The 8-tick cycle provides finite resolution.
136
137 In RS, any local region can only support finitely many distinguishable
138 states within one 8-tick cycle. This is the fundamental discreteness
139 of recognition physics.
140
141 Mathematically: For any ℓ and any R̂-neighborhood U of ℓ,
142 the set m(U) of measurement outcomes is finite. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (32)
Lean names referenced from this declaration's body.
nontrivial
in IndisputableMonolith.Anthropology.KinshipGraphCohomology
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
tick
in IndisputableMonolith.Constants
decl_use
tick
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
U
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
neighborhood
in IndisputableMonolith.Foundation.RecognitionLatticeFromRecognizer
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
E
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
Tick
in IndisputableMonolith.Foundation.TimeEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
Tick
in IndisputableMonolith.Masses.Ribbons
decl_use
Tick
in IndisputableMonolith.Masses.Ribbons.Tick
decl_use
Resolution
in IndisputableMonolith.Mathematics.BirchTateStructure
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
Tick
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
Resolution
in IndisputableMonolith.Physics.QuarkCoordinateReconciliation
decl_use
one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
Resolution
in IndisputableMonolith.Quantum.Firewall
decl_use
RSConfigSpace
in IndisputableMonolith.RecogGeom.RSBridge
decl_use
RSMeasurement
in IndisputableMonolith.RecogGeom.RSBridge
decl_use
L
in IndisputableMonolith.Recognition
decl_use
U
in IndisputableMonolith.Recognition
decl_use
… and 2 more