Implement more experiments

Author: Komnenos1100

PHYSICS_PRIMITIVES_PLAN.md

@@ -696,6 +696,153 @@ This document provides a comprehensive gap analysis and implementation roadmap f
 
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+### Phase 14: Fluid Dynamics ⬜ PENDING
+
+#### 14.1 Fundamental Equations ⬜
+- [ ] `NavierStokesSolver` - Viscous incompressible flow solver
+- [ ] `EulerFluidSolver` - Inviscid flow solver
+- [ ] `StressTensor` - Cauchy stress tensor for continuum mechanics
+- [ ] `StrainTensor` - Deformation tensor
+- [ ] `ContinuityEquation` - Mass conservation solver
+
+#### 14.2 Flow Characterization ⬜
+- [ ] `ReynoldsNumber` - Flow regime characterization
+- [ ] `VorticityField` - Curl of velocity field
+- [ ] `StreamFunction` - 2D incompressible flow representation
+- [ ] `VelocityPotential` - Irrotational flow potential
+- [ ] `BoundaryLayer` - Boundary layer analysis
+
+#### 14.3 Turbulence ⬜
+- [ ] `TurbulenceModel` - RANS turbulence modeling
+- [ ] `KolmogorovScale` - Turbulent cascade scales
+- [ ] `EnergySpectrum` - Turbulent energy distribution
+
+---
+
+### Phase 15: Nonlinear Dynamics & Chaos ⬜ PENDING
+
+#### 15.1 Dynamical Systems Analysis ⬜
+- [ ] `PhasePortrait` - Phase space visualization
+- [ ] `FixedPointAnalysis` - Equilibrium classification
+- [ ] `StabilityAnalysis` - Linear stability analysis
+- [ ] `BifurcationDiagram` - Parameter-dependent behavior
+- [ ] `PoincareSection` - Stroboscopic phase space
+
+#### 15.2 Chaos Measures ⬜
+- [ ] `LyapunovExponent` - Chaos quantification
+- [ ] `StrangeAttractor` - Chaotic attractor analysis
+- [ ] `FractalDimension` - Attractor dimensionality
+- [ ] `RecurrencePlot` - Dynamical recurrence analysis
+
+#### 15.3 Canonical Chaotic Systems ⬜
+- [ ] `LorenzSystem` - Lorenz attractor
+- [ ] `RosslerSystem` - Rössler attractor
+- [ ] `HenonMap` - Discrete chaotic map
+- [ ] `LogisticMap` - Period doubling cascade
+- [ ] `DoublePendulum` - Mechanical chaos
+
+---
+
+### Phase 16: Advanced Mathematical Physics ⬜ PENDING
+
+#### 16.1 Green's Functions ⬜
+- [ ] `GreenFunction1D` - 1D Green's function solver
+- [ ] `GreenFunction3D` - 3D Green's function solver
+- [ ] `RetardedGreen` - Causal propagator
+- [ ] `SpectralGreen` - Spectral representation
+
+#### 16.2 Special Functions ⬜
+- [ ] `BesselFunctions` - Bessel J, Y, I, K
+- [ ] `LegendrePolynomials` - Legendre P, Q
+- [ ] `LaguerrePolynomials` - Laguerre functions
+- [ ] `HypergeometricFunction` - Generalized hypergeometric
+- [ ] `EllipticIntegrals` - Complete and incomplete elliptic
+
+#### 16.3 Integral Transforms ⬜
+- [ ] `LaplaceTransform` - s-domain analysis
+- [ ] `HilbertTransform` - Analytic signal
+- [ ] `HankelTransform` - Cylindrical symmetry
+- [ ] `MellinTransform` - Scale-invariant analysis
+
+---
+
+### Phase 17: Advanced QFT ⬜ PENDING
+
+#### 17.1 Renormalization Group ⬜
+- [ ] `RGFlow` - Renormalization group flow
+- [ ] `BetaFunction` - Running coupling evolution
+- [ ] `AnomalousDimension` - Scaling corrections
+- [ ] `FixedPointRG` - RG fixed points
+- [ ] `CallanSymanzik` - CS equation solver
+
+#### 17.2 Lattice Field Theory ⬜
+- [ ] `LatticeScalar` - Scalar field on lattice
+- [ ] `LatticeGauge` - SU(N) gauge on lattice
+- [ ] `WilsonLoop` - Gauge-invariant observable
+- [ ] `PlaquetteAction` - Elementary gauge action
+
+#### 17.3 Anomalies & Topology ⬜
+- [ ] `ChiralAnomaly` - Axial anomaly
+- [ ] `Instanton` - Topological field configuration
+- [ ] `ThetaTerm` - CP-violating term
+- [ ] `TopologicalCharge` - Winding number
+
+---
+
+### Phase 18: Quantum Chaos & Random Matrices ⬜ PENDING
+
+#### 18.1 Random Matrix Theory ⬜
+- [ ] `GaussianEnsemble` - GOE/GUE/GSE matrices
+- [ ] `WignerSurmise` - Level spacing distribution
+- [ ] `MarchenkoPastur` - Eigenvalue density
+- [ ] `TracyWidom` - Extreme eigenvalue distribution
+
+#### 18.2 Quantum Chaos ⬜
+- [ ] `LevelStatistics` - Energy level statistics
+- [ ] `SpectralRigidity` - Long-range correlations
+- [ ] `ETHTest` - Eigenstate thermalization
+- [ ] `OTOCorrelator` - Out-of-time-order correlator
+- [ ] `QuantumScars` - Unstable periodic orbit states
+
+---
+
+### Phase 19: Network & Percolation Physics ⬜ PENDING
+
+#### 19.1 Network Theory ⬜
+- [ ] `RandomGraph` - Erdős-Rényi random graphs
+- [ ] `SmallWorldNetwork` - Watts-Strogatz model
+- [ ] `ScaleFreeNetwork` - Barabási-Albert model
+- [ ] `NetworkCentrality` - Centrality measures
+- [ ] `CommunityDetection` - Modularity optimization
+
+#### 19.2 Percolation ⬜
+- [ ] `SitePercolation` - Site percolation on lattice
+- [ ] `BondPercolation` - Bond percolation on lattice
+- [ ] `PercolationThreshold` - Critical probability
+- [ ] `ClusterStatistics` - Cluster size distribution
+- [ ] `CorrelationLengthPerc` - Percolation correlation length
+
+---
+
+### Phase 20: Frontier Physics (Pedagogical) ⬜ PENDING
+
+#### 20.1 String Theory Basics ⬜
+- [ ] `ClassicalString` - Relativistic string action
+- [ ] `StringSpectrum` - String vibration modes
+- [ ] `CompactDimension` - Kaluza-Klein decomposition
+
+#### 20.2 Holography ⬜
+- [ ] `AdSMetric` - Anti-de Sitter spacetime
+- [ ] `CFTCorrelator` - Conformal correlators
+- [ ] `HolographicEntropy` - RT formula
+
+#### 20.3 Quantum Gravity Concepts ⬜
+- [ ] `PlanckScale` - Quantum gravity scales
+- [ ] `BlackHoleEntropy` - Bekenstein-Hawking entropy
+- [ ] `InformationParadox` - Page curve analysis
+
+---
+
 ## Implementation Priority & Phases
 
 ### Immediate Priority (Foundation)