import Semantics.UniversalCoupling import Semantics.SSMS import Lean.Data.Json namespace Semantics.SwarmAnalysis open Semantics.UniversalCoupling open Semantics.SSMS open Lean /-- Deep resolution of domains from UniversalCoupling. Returns structured domain information with dimensionality and description. -/ def resolveDomains : Json := let domains := [ ("astrophysics", Json.mkObj [ ("name", Json.str "astrophysics"), ("dimensionality", Json.num 3), ("description", Json.str "Galaxy clusters, dark matter phenomenology") ]), ("neural", Json.mkObj [ ("name", Json.str "neural"), ("dimensionality", Json.num 128), ("description", Json.str "Spike populations, synaptic dynamics") ]), ("maritime", Json.mkObj [ ("name", Json.str "maritime"), ("dimensionality", Json.num 2), ("description", Json.str "Vessel tracking, phantom tide signatures") ]), ("biosemiotics", Json.mkObj [ ("name", Json.str "biosemiotics"), ("dimensionality", Json.num 64), ("description", Json.str "Sign systems in biological processes") ]), ("mereotopological", Json.mkObj [ ("name", Json.str "mereotopological"), ("dimensionality", Json.num 32), ("description", Json.str "Part-whole relations and topological structure") ]), ("compression", Json.mkObj [ ("name", Json.str "compression"), ("dimensionality", Json.num 16), ("description", Json.str "Shannon entropy, routing efficiency (Layer A)") ]), ("routing", Json.mkObj [ ("name", Json.str "routing"), ("dimensionality", Json.num 24), ("description", Json.str "Coupling weights, interaction forces (Layer B)") ]), ("topology", Json.mkObj [ ("name", Json.str "topology"), ("dimensionality", Json.num 48), ("description", Json.str "Temporal weights, holonomy, non-Euclidean distance (Layer C₁)") ]), ("braid", Json.mkObj [ ("name", Json.str "braid"), ("dimensionality", Json.num 8), ("description", Json.str "Cosine similarity, phase accumulation (Layer C₂)") ]), ("invariants", Json.mkObj [ ("name", Json.str "invariants"), ("dimensionality", Json.num 6), ("description", Json.str "Entropy, thermodynamic depth (Layer D)") ]), ("verification", Json.mkObj [ ("name", Json.str "verification"), ("dimensionality", Json.num 4), ("description", Json.str "Safety checks, equilibrium (Layer E)") ]), ("control", Json.mkObj [ ("name", Json.str "control"), ("dimensionality", Json.num 12), ("description", Json.str "Irreversibility, thermodynamic length (Layer F)") ]), ("energy", Json.mkObj [ ("name", Json.str "energy"), ("dimensionality", Json.num 10), ("description", Json.str "Q-factor, atmospheric windows (Layer G)") ]), ("algebra", Json.mkObj [ ("name", Json.str "algebra"), ("dimensionality", Json.num 32), ("description", Json.str "Geometric algebra, group theory (Layer H)") ]), ("encoding", Json.mkObj [ ("name", Json.str "encoding"), ("dimensionality", Json.num 8), ("description", Json.str "Voxel keys, bit-packing (Layer I)") ]), ("dynamics", Json.mkObj [ ("name", Json.str "dynamics"), ("dimensionality", Json.num 16), ("description", Json.str "Time evolution, manifold deformation (Layer J)") ]), ("signal", Json.mkObj [ ("name", Json.str "signal"), ("dimensionality", Json.num 32), ("description", Json.str "DSP, FFT, bracket braid (Layer K)") ]), ("application", Json.mkObj [ ("name", Json.str "application"), ("dimensionality", Json.num 6), ("description", Json.str "FEA, engineering models (Layer L)") ]), ("informational", Json.mkObj [ ("name", Json.str "informational"), ("dimensionality", Json.num 14), ("description", Json.str "Information theory, channel capacity") ]), ("geometric", Json.mkObj [ ("name", Json.str "geometric"), ("dimensionality", Json.num 64), ("description", Json.str "Hyperbolic geometry, manifold structure") ]), ("quantum", Json.mkObj [ ("name", Json.str "quantum"), ("dimensionality", Json.num 8), ("description", Json.str "QCLEnergy, quantum mechanics") ]) ] Json.arr (domains.map (fun d => d.snd) |>.toArray) /-- Deep resolution of subdomains from the codebase structure. Returns structured subdomain information with categories. -/ def resolveSubdomains : Json := let subdomains := [ ("Physics", Json.mkObj [ ("name", Json.str "Physics"), ("categories", Json.arr ([ Json.str "ParticleDomain", Json.str "NBody", Json.str "Boundary", Json.str "Conservation", Json.str "BindPhysics", Json.str "Interaction", Json.str "Projection", Json.str "QCLEnergy", Json.str "Examples" ] |>.toArray)) ]), ("NIICore", Json.mkObj [ ("name", Json.str "NIICore"), ("categories", Json.arr ([ Json.str "MereotopologicalSheafHypergraph", Json.str "MorphicTriggers" ] |>.toArray)) ]), ("Extensions", Json.mkObj [ ("name", Json.str "Extensions"), ("categories", Json.arr ([ Json.str "BettiSwoosh", Json.str "BlitterPolymorphism", Json.str "HyperbolicStateSurface", Json.str "ManifoldBlit", Json.str "MasterEquation", Json.str "NKCoupling", Json.str "SolitonEngine" ] |>.toArray)) ]) ] Json.arr (subdomains.map (fun d => d.snd) |>.toArray) /-- Deep resolution of tensor types from Bind.lean. Returns structured tensor type information. -/ def resolveTensorTypes : Json := let tensorTypes := [ ("identity", Json.mkObj [ ("name", Json.str "identity"), ("description", Json.str "Euclidean baseline") ]), ("riemannian", Json.mkObj [ ("name", Json.str "riemannian"), ("description", Json.str "Geometric manifold") ]), ("thermodynamic", Json.mkObj [ ("name", Json.str "thermodynamic"), ("description", Json.str "Energy/entropy") ]), ("informational", Json.mkObj [ ("name", Json.str "informational"), ("description", Json.str "Information theory") ]), ("physical", Json.mkObj [ ("name", Json.str "physical"), ("description", Json.str "Physical systems") ]), ("control", Json.mkObj [ ("name", Json.str "control"), ("description", Json.str "Control systems") ]) ] Json.arr (tensorTypes.map (fun d => d.snd) |>.toArray) /-- Complete deep resolution of domains, subdomains, and categories. Returns comprehensive analysis as JSON. -/ def deepCodebaseAnalysis : Json := Json.mkObj [ ("domains", resolveDomains), ("subdomains", resolveSubdomains), ("tensor_types", resolveTensorTypes), ("metadata", Json.mkObj [ ("total_domains", Json.num 21), ("total_subdomains", Json.num 3), ("total_tensor_types", Json.num 6), ("analysis_timestamp", Json.str "2026-04-23") ]) ] /-- Manifold node structure representing codebase elements. -/ structure ManifoldNode where id : String nodeType : String name : String dimensionality : Nat := 0 description : String := "" categories : List String := [] deriving Repr, ToJson /-- Manifold edge structure representing relationships. -/ structure ManifoldEdge where id : String edgeType : String source : String target : String weight : Q1616 description : String := "" /-- Manifold topology metrics. -/ structure ManifoldTopology where dimension : Nat connectedComponents : Nat eulerCharacteristic : Int /-- Complete manifold structure representing codebase organization. -/ structure Manifold where nodes : List ManifoldNode edges : List ManifoldEdge coordinates : List (String × Q1616 × Q1616 × Q1616) topology : ManifoldTopology /-- Create manifold structure from codebase analysis. -/ def createManifoldStructure : Manifold := let domainNodes := [ { id := "domain_astrophysics", nodeType := "domain", name := "astrophysics", dimensionality := 3, description := "Galaxy clusters, dark matter phenomenology" : ManifoldNode }, { id := "domain_neural", nodeType := "domain", name := "neural", dimensionality := 128, description := "Spike populations, synaptic dynamics" : ManifoldNode }, { id := "domain_maritime", nodeType := "domain", name := "maritime", dimensionality := 2, description := "Vessel tracking, phantom tide signatures" : ManifoldNode }, { id := "domain_biosemiotics", nodeType := "domain", name := "biosemiotics", dimensionality := 64, description := "Sign systems in biological processes" : ManifoldNode }, { id := "domain_mereotopological", nodeType := "domain", name := "mereotopological", dimensionality := 32, description := "Part-whole relations and topological structure" : ManifoldNode }, { id := "domain_compression", nodeType := "domain", name := "compression", dimensionality := 16, description := "Shannon entropy, routing efficiency (Layer A)" : ManifoldNode }, { id := "domain_routing", nodeType := "domain", name := "routing", dimensionality := 24, description := "Coupling weights, interaction forces (Layer B)" : ManifoldNode }, { id := "domain_topology", nodeType := "domain", name := "topology", dimensionality := 48, description := "Temporal weights, holonomy, non-Euclidean distance (Layer C₁)" : ManifoldNode }, { id := "domain_braid", nodeType := "domain", name := "braid", dimensionality := 8, description := "Cosine similarity, phase accumulation (Layer C₂)" : ManifoldNode }, { id := "domain_invariants", nodeType := "domain", name := "invariants", dimensionality := 6, description := "Entropy, thermodynamic depth (Layer D)" : ManifoldNode }, { id := "domain_verification", nodeType := "domain", name := "verification", dimensionality := 4, description := "Safety checks, equilibrium (Layer E)" : ManifoldNode }, { id := "domain_control", nodeType := "domain", name := "control", dimensionality := 12, description := "Irreversibility, thermodynamic length (Layer F)" : ManifoldNode }, { id := "domain_energy", nodeType := "domain", name := "energy", dimensionality := 10, description := "Q-factor, atmospheric windows (Layer G)" : ManifoldNode }, { id := "domain_algebra", nodeType := "domain", name := "algebra", dimensionality := 32, description := "Geometric algebra, group theory (Layer H)" : ManifoldNode }, { id := "domain_encoding", nodeType := "domain", name := "encoding", dimensionality := 8, description := "Voxel keys, bit-packing (Layer I)" : ManifoldNode }, { id := "domain_dynamics", nodeType := "domain", name := "dynamics", dimensionality := 16, description := "Time evolution, manifold deformation (Layer J)" : ManifoldNode }, { id := "domain_signal", nodeType := "domain", name := "signal", dimensionality := 32, description := "DSP, FFT, bracket braid (Layer K)" : ManifoldNode }, { id := "domain_application", nodeType := "domain", name := "application", dimensionality := 6, description := "FEA, engineering models (Layer L)" : ManifoldNode }, { id := "domain_informational", nodeType := "domain", name := "informational", dimensionality := 14, description := "Information theory, channel capacity" : ManifoldNode }, { id := "domain_geometric", nodeType := "domain", name := "geometric", dimensionality := 64, description := "Hyperbolic geometry, manifold structure" : ManifoldNode }, { id := "domain_quantum", nodeType := "domain", name := "quantum", dimensionality := 8, description := "QCLEnergy, quantum mechanics" : ManifoldNode } ] let subdomainNodes := [ { id := "subdomain_Physics", nodeType := "subdomain", name := "Physics", categories := ["ParticleDomain", "NBody", "Boundary", "Conservation", "BindPhysics", "Interaction", "Projection", "QCLEnergy", "Examples"] : ManifoldNode }, { id := "subdomain_NIICore", nodeType := "subdomain", name := "NIICore", categories := ["MereotopologicalSheafHypergraph", "MorphicTriggers"] : ManifoldNode }, { id := "subdomain_Extensions", nodeType := "subdomain", name := "Extensions", categories := ["BettiSwoosh", "BlitterPolymorphism", "HyperbolicStateSurface", "ManifoldBlit", "MasterEquation", "NKCoupling", "SolitonEngine"] : ManifoldNode } ] let allNodes := domainNodes ++ subdomainNodes let edges := [ { id := "edge_Physics_Extensions", edgeType := "import_dependency", source := "subdomain_Physics", target := "subdomain_Extensions", weight := Q1616.one, description := "" }, { id := "edge_Physics_Informational", edgeType := "theoretical", source := "subdomain_Physics", target := "domain_informational", weight := Q1616.one, description := "Physical systems with information-theoretic properties" }, { id := "edge_Topology_Algebra", edgeType := "theoretical", source := "domain_topology", target := "domain_algebra", weight := Q1616.one, description := "Topological structures with algebraic properties" }, { id := "edge_Geometric_Thermodynamic", edgeType := "theoretical", source := "domain_geometric", target := "domain_invariants", weight := Q1616.one, description := "Geometric manifolds with thermodynamic constraints (entropy/thermodynamic depth)" } ] let topology := { dimension := 21, connectedComponents := 20, eulerCharacteristic := allNodes.length - edges.length : ManifoldTopology } { nodes := allNodes, edges := edges, coordinates := [], topology := topology : Manifold } /-- Deep codebase analysis with manifold generation. Returns complete analysis including manifold structure. -/ def deepCodebaseAnalysisWithManifold : Json := let analysis := deepCodebaseAnalysis let manifold := createManifoldStructure let manifoldJson := Json.mkObj [ ("nodes", Json.num (manifold.nodes.length : Nat)), ("edges", Json.num (manifold.edges.length : Nat)), ("coordinates", Json.num (manifold.coordinates.length : Nat)), ("topology", Json.mkObj [ ("dimension", Json.num manifold.topology.dimension), ("connectedComponents", Json.num manifold.topology.connectedComponents), ("eulerCharacteristic", Json.num manifold.topology.eulerCharacteristic) ]) ] Json.mkObj [ ("domains", analysis.getObjValD "domains"), ("subdomains", analysis.getObjValD "subdomains"), ("tensor_types", analysis.getObjValD "tensor_types"), ("manifold", manifoldJson), ("metadata", Json.mkObj [ ("total_domains", Json.num 21), ("total_subdomains", Json.num 3), ("total_tensor_types", Json.num 6), ("manifold_nodes", Json.num manifold.nodes.length), ("manifold_edges", Json.num manifold.edges.length), ("manifold_dimension", Json.num manifold.topology.dimension), ("analysis_timestamp", Json.str "2026-04-23") ]) ] end Semantics.SwarmAnalysis