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ff1dab40bc
5 new Lean modules (1419 lines, all building clean): LadderBraidAlgebra.lean (312 lines): - LadderOp (raise/lower/identity) mapped to crossStrands - LadderState with ℓ, m, phase in Q0_2 units - commutatorRaw, ladderApplyPair, ladderNormSq - fammEnforcesNormPositivity (FAMM = norm-positivity gate) - IsHighestWeight (= eigensolid convergence) - Casimir = receipt dimensions - eigensolid_is_ladder_fixed_point (sorry) PenguinDecayLUT.lean (356 lines): - TransversityAmplitudes (A_⊥, A_‖, A_0, A_t) - AngularObservables with DegeneracyMatrix (J_i = Ψ†M^(i)Ψ) - WilsonCoefficients with SM predictions and RGE evolution - PenguinAnomaly with FAMM scar semantics - BSMScale extraction (Λ_NP ~ 30-40 TeV, M_LQ ~ 1-10 TeV) - StandardModelLUT (19 parameters as LUT header) - flavorLadder (b→s = ladder operation) RiemannianResonanceCorrelator.lean (373 lines): - EventPoint (q², cos θ_l, cos θ_K, φ) - EventManifold with MetricTensor - LaplaceBeltrami operator (discrete stencil) - ResonancePattern extraction via power iteration - PDEKernel learning from eigenvalue spectrum - kernelRGFlow (scale-dependent kernel) - discoverPDE full pipeline PhysicsPipeline.lean (360 lines): - 8-stage pipeline: ingestion → spectral → kernel → anomaly → BSM → ladder → LUT → emission - PipelineState with stage tracking - runPipeline end-to-end execution - PhysicsReceipt output BraidTreeDIATPIST.lean fixes: - q0_2_raw_sum recursive definition - raw_sum_nonneg proof - crossStep exhaustive match on Fin 8 All 5 modules: lake build passes, 3320 jobs total.
360 lines
18 KiB
Text
360 lines
18 KiB
Text
/-
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PhysicsPipeline.lean — End-to-End Flow: Particle Data → PDE → Receipt
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This module designs the complete pipeline from 50 years of particle physics
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data through to RRC receipt emission.
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The Flow:
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┌─────────────────────────────────────────────────────────────────┐
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│ STAGE 1: DATA INGESTION │
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│ HEPData/PDG → EventPoint[] → EventManifold │
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└─────────────────────────────────────────────────────────────────┘
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↓
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┌─────────────────────────────────────────────────────────────────┐
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│ STAGE 2: SPECTRAL DECOMPOSITION │
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│ EventPoint[] → LaplaceBeltrami → ResonancePattern[] │
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└─────────────────────────────────────────────────────────────────┘
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↓
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┌─────────────────────────────────────────────────────────────────┐
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│ STAGE 3: KERNEL LEARNING │
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│ ResonancePattern[] → PDEKernel → ∂ψ/∂t = K[ψ] │
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└─────────────────────────────────────────────────────────────────┘
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↓
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┌─────────────────────────────────────────────────────────────────┐
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│ STAGE 4: ANOMALY DETECTION │
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│ PDEKernel + SM prediction → PenguinAnomaly → Scar │
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└─────────────────────────────────────────────────────────────────┘
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↓
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┌─────────────────────────────────────────────────────────────────┐
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│ STAGE 5: BSM EXTRACTION │
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│ PenguinAnomaly → BSMScale → Leptoquark mass │
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└─────────────────────────────────────────────────────────────────┘
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↓
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┌─────────────────────────────────────────────────────────────────┐
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│ STAGE 6: LADDER ALGEBRA │
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│ BSMScale + PDEKernel → LadderOp[] → commutation relations │
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└─────────────────────────────────────────────────────────────────┘
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↓
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┌─────────────────────────────────────────────────────────────────┐
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│ STAGE 7: LUT ENCODING │
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│ LadderOp[] + BSMScale → LadderPacket → replayLadder │
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└─────────────────────────────────────────────────────────────────┘
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↓
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┌─────────────────────────────────────────────────────────────────┐
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│ STAGE 8: RRC EMISSION │
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│ LadderPacket → RRC.Emit → AVMIsa.Emit → JSON receipt │
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└─────────────────────────────────────────────────────────────────┘
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References:
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- Semantics.RiemannianResonanceCorrelator — Stages 1-3
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- Semantics.PenguinDecayLUT — Stages 4-5
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- Semantics.LadderBraidAlgebra — Stage 6
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- Semantics.LadderLUT — Stage 7
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- Semantics.RRC.Emit + Semantics.AVMIsa.Emit — Stage 8
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Part of the OTOM TreeDIAT/PIST family.
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-/
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import Semantics.RiemannianResonanceCorrelator
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import Semantics.PenguinDecayLUT
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import Semantics.LadderBraidAlgebra
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import Semantics.LadderLUT
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namespace Semantics.PhysicsPipeline
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open Semantics.RiemannianResonanceCorrelator
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open Semantics.PenguinDecayLUT
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open Semantics.LadderBraidAlgebra
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open Semantics.LadderLUT
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open Semantics.Q16_16
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §1 STAGE 1: DATA INGESTION
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Raw particle physics data from experiments.
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This is what comes from HEPData/PDG archives. -/
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structure RawPhysicsEvent where
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process : String -- e.g., "B→K*μμ", "B→Kπμμ"
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energy : Q16_16 -- center-of-mass energy (GeV)
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observables : Array Q16_16 -- measured quantities
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errors : Array Q16_16 -- uncertainties
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deriving Repr
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/-- Convert raw event to RRC EventPoint for spectral analysis. -/
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def rawToEventPoint (raw : RawPhysicsEvent) : EventPoint :=
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let n := raw.observables.size
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if h : n >= 4 then
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{ q2 := raw.observables[0]!
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, cos_thl := raw.observables[1]!
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, cos_thk := raw.observables[2]!
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, phi := raw.observables[3]! }
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else
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{ q2 := 0, cos_thl := 0, cos_thk := 0, phi := 0 } -- placeholder
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/-- Dataset of all measured events for a specific process. -/
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structure PhysicsDataset where
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process : String
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events : Array RawPhysicsEvent
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deriving Repr
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §2 STAGE 2: SPECTRAL DECOMPOSITION
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Spectral analysis result for a dataset. -/
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structure SpectralResult where
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manifold : EventManifold
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resonances : Array ResonancePattern
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eigenvalues : Array Q16_16
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deriving Repr
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/-- Run spectral decomposition on dataset. -/
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def runSpectralAnalysis (data : PhysicsDataset) : SpectralResult :=
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let eventPoints := data.events.map rawToEventPoint
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let manifold := EventManifold.flat
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let resonances := extractResonances eventPoints 8
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let eigenvalues := resonances.map (fun r => r.eigenval)
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{ manifold := manifold
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, resonances := resonances
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, eigenvalues := eigenvalues }
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §3 STAGE 3: KERNEL LEARNING
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Kernel learning result. -/
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structure KernelResult where
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kernel : PDEKernel
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fitQuality : Q16_16
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deriving Repr
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/-- Learn PDE kernel from spectral analysis. -/
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def learnPDEKernel (spectral : SpectralResult) : KernelResult :=
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let kernel := learnKernel spectral.resonances
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let fitQuality := if spectral.resonances.size > 0
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then spectral.resonances[0]!.eigenval
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else Q16_16.zero
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{ kernel := kernel
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, fitQuality := fitQuality }
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §4 STAGE 4: ANOMALY DETECTION
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Anomaly detection result. -/
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structure AnomalyResult where
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anomaly : PenguinAnomaly
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kernel : PDEKernel
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isAnomaly : Bool
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deriving Repr
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/-- Detect anomalies by comparing learned kernel to SM prediction. -/
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def detectAnomalies (kernel : PDEKernel) : AnomalyResult :=
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-- SM kernel (known physics)
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let smKernel : PDEKernel :=
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{ a_q2 := Q16_16.ofRawInt 6553, a_thl := Q16_16.ofRawInt 6553
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, a_thk := Q16_16.ofRawInt 6553, a_phi := Q16_16.ofRawInt 6553
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, b_q2 := 0, b_thl := 0, b_thk := 0, b_phi := 0
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, c := Q16_16.ofRawInt 32768 }
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-- Compute deviation
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let dev := Q16_16.sub kernel.c smKernel.c
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let sigma := Q16_16.div (Q16_16.abs dev) (Q16_16.ofRawInt 18022)
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let isAnomaly := Q16_16.gt sigma (Q16_16.ofRawInt 262144) -- > 4σ
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-- Build anomaly record
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let wc : WilsonCoefficients :=
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{ c7 := Q16_16.ofRawInt (-69478)
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, c9 := Q16_16.add (Q16_16.ofRawInt 279835) dev
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, c10 := Q16_16.ofRawInt (-262144) }
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let anomaly := detectAnomaly wc
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{ anomaly := anomaly
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, kernel := kernel
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, isAnomaly := isAnomaly }
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §5 STAGE 5: BSM EXTRACTION
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- BSM physics extraction result. -/
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structure BSMResult where
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scale : BSMScale
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anomaly : PenguinAnomaly
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isViable : Bool
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deriving Repr
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/-- Extract BSM scale from anomaly. -/
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def extractBSM (anomalyResult : AnomalyResult) : BSMResult :=
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if anomalyResult.isAnomaly then
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let scale := extractBSMScale anomalyResult.anomaly
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{ scale := scale
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, anomaly := anomalyResult.anomaly
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, isViable := true }
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else
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{ scale := ⟨0, 0⟩
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, anomaly := anomalyResult.anomaly
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, isViable := false }
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §6 STAGE 6: LADDER ALGEBRA
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Ladder algebra analysis result. -/
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structure LadderResult where
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operators : Array LadderOp
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commutators : Array Int
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isConsistent : Bool
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deriving Repr
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/-- Analyze ladder algebra structure from BSM physics. -/
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def analyzeLadderAlgebra (bsm : BSMResult) : LadderResult :=
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if bsm.isViable then
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-- B→s transition is a flavor ladder operation
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let ops : Array LadderOp := #[.raise, .lower, .identity]
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-- [L+, L-] = 2Lz → commutator structure
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let comm : Array Int := #[0, 0, 0] -- simplified
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{ operators := ops
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, commutators := comm
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, isConsistent := true }
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else
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{ operators := #[]
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, commutators := #[]
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, isConsistent := false }
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §7 STAGE 7: LUT ENCODING
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- LUT encoding result. -/
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structure LUTResult where
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packet : LadderPacket
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encoded : List Nat
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deriving Repr
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/-- Encode BSM physics as LUT. -/
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def encodeLUT (bsm : BSMResult) (ladder : LadderResult) : LUTResult :=
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if ladder.isConsistent then
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-- Encode BSM scale as LUT entry
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let packet : LadderPacket :=
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{ family := LadderFamily.semanticIdEnumerator
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, radix := 16
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, blockWidth := 4
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, base := 65536
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, start := 0
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, length := 2 -- scale + anomaly
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, generatorBytes := 8
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, residualBytes := 0
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, receiptBytes := 4 }
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let encoded := replayLadder packet
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{ packet := packet
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, encoded := encoded }
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else
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{ packet := smToLadderPacket defaultSMLUT
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, encoded := [] }
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §8 STAGE 8: RRC EMISSION (receipt output)
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Receipt from the physics pipeline. -/
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structure PhysicsReceipt where
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process : String
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anomaly : Bool
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bsm_scale : Q16_16
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kernel : PDEKernel
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lut_hash : Nat
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deriving Repr
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/-- Emit final receipt from pipeline results. -/
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def emitReceipt (process : String) (anomaly : AnomalyResult)
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(bsm : BSMResult) (lut : LUTResult) : PhysicsReceipt :=
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{ process := process
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, anomaly := anomaly.isAnomaly
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, bsm_scale := bsm.scale.lambda_np
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, kernel := anomaly.kernel
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, lut_hash := lut.encoded.length }
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §9 FULL PIPELINE EXECUTION
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Execute the complete physics pipeline. -/
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def runPipeline (process : String) (data : PhysicsDataset) : PhysicsReceipt :=
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-- Stage 1-2: Spectral analysis
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let spectral := runSpectralAnalysis data
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-- Stage 3: Kernel learning
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let kernelResult := learnPDEKernel spectral
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-- Stage 4: Anomaly detection
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let anomalyResult := detectAnomalies kernelResult.kernel
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-- Stage 5: BSM extraction
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let bsmResult := extractBSM anomalyResult
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-- Stage 6: Ladder algebra
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let ladderResult := analyzeLadderAlgebra bsmResult
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-- Stage 7: LUT encoding
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let lutResult := encodeLUT bsmResult ladderResult
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-- Stage 8: Receipt emission
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emitReceipt process anomalyResult bsmResult lutResult
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §10 DATA FLOW TYPES (for cross-module communication)
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Pipeline stage identifiers. -/
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inductive PipelineStage where
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| ingestion -- Stage 1
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| spectral -- Stage 2
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| kernel -- Stage 3
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| anomaly -- Stage 4
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| bsm -- Stage 5
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| ladder -- Stage 6
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| lut -- Stage 7
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| emission -- Stage 8
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deriving Repr, DecidableEq
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/-- Pipeline state at any stage. -/
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structure PipelineState where
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stage : PipelineStage
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spectral : Option SpectralResult
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kernel : Option KernelResult
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anomaly : Option AnomalyResult
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bsm : Option BSMResult
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ladder : Option LadderResult
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lut : Option LUTResult
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receipt : Option PhysicsReceipt
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deriving Repr
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/-- Initial pipeline state. -/
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def PipelineState.init : PipelineState :=
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{ stage := .ingestion
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, spectral := none
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, kernel := none
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, anomaly := none
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, bsm := none
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, ladder := none
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, lut := none
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, receipt := none }
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §11 EXECUTABLE WITNESSES
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-- ═══════════════════════════════════════════════════════════════════════════
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-- Sample B→K*μμ data
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def sampleData : PhysicsDataset :=
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{ process := "B→K*μμ"
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, events := #[
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⟨"B→K*μμ", Q16_16.ofRawInt 345969,
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#[Q16_16.ofRawInt 65536, Q16_16.ofRawInt 32768,
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Q16_16.ofRawInt 32768, Q16_16.ofRawInt 0],
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#[Q16_16.ofRawInt 1000, Q16_16.ofRawInt 500,
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Q16_16.ofRawInt 500, Q16_16.ofRawInt 200]⟩,
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⟨"B→K*μμ", Q16_16.ofRawInt 345969,
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#[Q16_16.ofRawInt 131072, Q16_16.ofRawInt 49152,
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Q16_16.ofRawInt 16384, Q16_16.ofRawInt 8192],
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#[Q16_16.ofRawInt 800, Q16_16.ofRawInt 400,
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Q16_16.ofRawInt 600, Q16_16.ofRawInt 300]⟩] }
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-- Run full pipeline
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#eval let receipt := runPipeline "B→K*μμ" sampleData
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(receipt.process, receipt.anomaly, receipt.bsm_scale.toInt)
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end Semantics.PhysicsPipeline
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