mirror of
https://github.com/allaunthefox/Research-Stack.git
synced 2026-07-31 03:05:21 +00:00
346 lines
15 KiB
Text
346 lines
15 KiB
Text
import Semantics.UniversalCoupling
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import Semantics.SSMS
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import Lean.Data.Json
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namespace Semantics.SwarmAnalysis
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open Semantics.UniversalCoupling
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open Semantics.SSMS
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open Lean
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/--
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Deep resolution of domains from UniversalCoupling.
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Returns structured domain information with dimensionality and description.
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-/
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def resolveDomains : Json :=
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let domains := [
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("astrophysics", Json.mkObj [
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("name", Json.str "astrophysics"),
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("dimensionality", Json.num 3),
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("description", Json.str "Galaxy clusters, dark matter phenomenology")
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]),
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("neural", Json.mkObj [
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("name", Json.str "neural"),
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("dimensionality", Json.num 128),
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("description", Json.str "Spike populations, synaptic dynamics")
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]),
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("maritime", Json.mkObj [
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("name", Json.str "maritime"),
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("dimensionality", Json.num 2),
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("description", Json.str "Vessel tracking, phantom tide signatures")
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]),
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("biosemiotics", Json.mkObj [
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("name", Json.str "biosemiotics"),
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("dimensionality", Json.num 64),
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("description", Json.str "Sign systems in biological processes")
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]),
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("mereotopological", Json.mkObj [
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("name", Json.str "mereotopological"),
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("dimensionality", Json.num 32),
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("description", Json.str "Part-whole relations and topological structure")
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]),
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("compression", Json.mkObj [
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("name", Json.str "compression"),
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("dimensionality", Json.num 16),
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("description", Json.str "Shannon entropy, routing efficiency (Layer A)")
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]),
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("routing", Json.mkObj [
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("name", Json.str "routing"),
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("dimensionality", Json.num 24),
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("description", Json.str "Coupling weights, interaction forces (Layer B)")
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]),
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("topology", Json.mkObj [
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("name", Json.str "topology"),
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("dimensionality", Json.num 48),
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("description", Json.str "Temporal weights, holonomy, non-Euclidean distance (Layer C₁)")
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]),
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("braid", Json.mkObj [
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("name", Json.str "braid"),
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("dimensionality", Json.num 8),
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("description", Json.str "Cosine similarity, phase accumulation (Layer C₂)")
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]),
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("invariants", Json.mkObj [
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("name", Json.str "invariants"),
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("dimensionality", Json.num 6),
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("description", Json.str "Entropy, thermodynamic depth (Layer D)")
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]),
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("verification", Json.mkObj [
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("name", Json.str "verification"),
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("dimensionality", Json.num 4),
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("description", Json.str "Safety checks, equilibrium (Layer E)")
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]),
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("control", Json.mkObj [
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("name", Json.str "control"),
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("dimensionality", Json.num 12),
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("description", Json.str "Irreversibility, thermodynamic length (Layer F)")
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]),
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("energy", Json.mkObj [
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("name", Json.str "energy"),
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("dimensionality", Json.num 10),
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("description", Json.str "Q-factor, atmospheric windows (Layer G)")
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]),
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("algebra", Json.mkObj [
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("name", Json.str "algebra"),
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("dimensionality", Json.num 32),
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("description", Json.str "Geometric algebra, group theory (Layer H)")
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]),
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("encoding", Json.mkObj [
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("name", Json.str "encoding"),
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("dimensionality", Json.num 8),
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("description", Json.str "Voxel keys, bit-packing (Layer I)")
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]),
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("dynamics", Json.mkObj [
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("name", Json.str "dynamics"),
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("dimensionality", Json.num 16),
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("description", Json.str "Time evolution, manifold deformation (Layer J)")
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]),
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("signal", Json.mkObj [
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("name", Json.str "signal"),
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("dimensionality", Json.num 32),
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("description", Json.str "DSP, FFT, bracket braid (Layer K)")
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]),
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("application", Json.mkObj [
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("name", Json.str "application"),
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("dimensionality", Json.num 6),
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("description", Json.str "FEA, engineering models (Layer L)")
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]),
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("informational", Json.mkObj [
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("name", Json.str "informational"),
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("dimensionality", Json.num 14),
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("description", Json.str "Information theory, channel capacity")
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]),
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("geometric", Json.mkObj [
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("name", Json.str "geometric"),
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("dimensionality", Json.num 64),
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("description", Json.str "Hyperbolic geometry, manifold structure")
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]),
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("quantum", Json.mkObj [
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("name", Json.str "quantum"),
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("dimensionality", Json.num 8),
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("description", Json.str "QCLEnergy, quantum mechanics")
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])
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]
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Json.arr (domains.map (fun d => d.snd) |>.toArray)
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/--
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Deep resolution of subdomains from the codebase structure.
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Returns structured subdomain information with categories.
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-/
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def resolveSubdomains : Json :=
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let subdomains := [
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("Physics", Json.mkObj [
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("name", Json.str "Physics"),
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("categories", Json.arr ([
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Json.str "ParticleDomain",
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Json.str "NBody",
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Json.str "Boundary",
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Json.str "Conservation",
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Json.str "BindPhysics",
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Json.str "Interaction",
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Json.str "Projection",
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Json.str "QCLEnergy",
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Json.str "Examples"
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] |>.toArray))
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]),
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("NIICore", Json.mkObj [
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("name", Json.str "NIICore"),
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("categories", Json.arr ([
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Json.str "MereotopologicalSheafHypergraph",
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Json.str "MorphicTriggers"
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] |>.toArray))
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]),
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("Extensions", Json.mkObj [
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("name", Json.str "Extensions"),
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("categories", Json.arr ([
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Json.str "BettiSwoosh",
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Json.str "BlitterPolymorphism",
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Json.str "HyperbolicStateSurface",
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Json.str "ManifoldBlit",
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Json.str "MasterEquation",
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Json.str "NKCoupling",
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Json.str "SolitonEngine"
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] |>.toArray))
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])
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]
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Json.arr (subdomains.map (fun d => d.snd) |>.toArray)
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/--
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Deep resolution of tensor types from Bind.lean.
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Returns structured tensor type information.
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-/
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def resolveTensorTypes : Json :=
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let tensorTypes := [
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("identity", Json.mkObj [
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("name", Json.str "identity"),
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("description", Json.str "Euclidean baseline")
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]),
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("riemannian", Json.mkObj [
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("name", Json.str "riemannian"),
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("description", Json.str "Geometric manifold")
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]),
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("thermodynamic", Json.mkObj [
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("name", Json.str "thermodynamic"),
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("description", Json.str "Energy/entropy")
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]),
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("informational", Json.mkObj [
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("name", Json.str "informational"),
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("description", Json.str "Information theory")
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]),
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("physical", Json.mkObj [
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("name", Json.str "physical"),
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("description", Json.str "Physical systems")
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]),
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("control", Json.mkObj [
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("name", Json.str "control"),
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("description", Json.str "Control systems")
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])
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]
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Json.arr (tensorTypes.map (fun d => d.snd) |>.toArray)
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/--
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Complete deep resolution of domains, subdomains, and categories.
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Returns comprehensive analysis as JSON.
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-/
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def deepCodebaseAnalysis : Json :=
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Json.mkObj [
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("domains", resolveDomains),
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("subdomains", resolveSubdomains),
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("tensor_types", resolveTensorTypes),
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("metadata", Json.mkObj [
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("total_domains", Json.num 21),
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("total_subdomains", Json.num 3),
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("total_tensor_types", Json.num 6),
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("analysis_timestamp", Json.str "2026-04-23")
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])
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]
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/--
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Manifold node structure representing codebase elements.
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-/
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structure ManifoldNode where
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id : String
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nodeType : String
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name : String
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dimensionality : Nat := 0
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description : String := ""
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categories : List String := []
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deriving Repr, ToJson
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/--
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Manifold edge structure representing relationships.
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-/
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structure ManifoldEdge where
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id : String
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edgeType : String
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source : String
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target : String
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weight : Q1616
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description : String := ""
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/--
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Manifold topology metrics.
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-/
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structure ManifoldTopology where
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dimension : Nat
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connectedComponents : Nat
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eulerCharacteristic : Int
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/--
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Complete manifold structure representing codebase organization.
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-/
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structure Manifold where
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nodes : List ManifoldNode
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edges : List ManifoldEdge
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coordinates : List (String × Q1616 × Q1616 × Q1616)
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topology : ManifoldTopology
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/--
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Create manifold structure from codebase analysis.
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-/
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def createManifoldStructure : Manifold :=
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let domainNodes := [
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{ id := "domain_astrophysics", nodeType := "domain", name := "astrophysics", dimensionality := 3, description := "Galaxy clusters, dark matter phenomenology" : ManifoldNode },
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{ id := "domain_neural", nodeType := "domain", name := "neural", dimensionality := 128, description := "Spike populations, synaptic dynamics" : ManifoldNode },
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{ id := "domain_maritime", nodeType := "domain", name := "maritime", dimensionality := 2, description := "Vessel tracking, phantom tide signatures" : ManifoldNode },
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{ id := "domain_biosemiotics", nodeType := "domain", name := "biosemiotics", dimensionality := 64, description := "Sign systems in biological processes" : ManifoldNode },
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{ id := "domain_mereotopological", nodeType := "domain", name := "mereotopological", dimensionality := 32, description := "Part-whole relations and topological structure" : ManifoldNode },
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{ id := "domain_compression", nodeType := "domain", name := "compression", dimensionality := 16, description := "Shannon entropy, routing efficiency (Layer A)" : ManifoldNode },
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{ id := "domain_routing", nodeType := "domain", name := "routing", dimensionality := 24, description := "Coupling weights, interaction forces (Layer B)" : ManifoldNode },
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{ id := "domain_topology", nodeType := "domain", name := "topology", dimensionality := 48, description := "Temporal weights, holonomy, non-Euclidean distance (Layer C₁)" : ManifoldNode },
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{ id := "domain_braid", nodeType := "domain", name := "braid", dimensionality := 8, description := "Cosine similarity, phase accumulation (Layer C₂)" : ManifoldNode },
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{ id := "domain_invariants", nodeType := "domain", name := "invariants", dimensionality := 6, description := "Entropy, thermodynamic depth (Layer D)" : ManifoldNode },
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{ id := "domain_verification", nodeType := "domain", name := "verification", dimensionality := 4, description := "Safety checks, equilibrium (Layer E)" : ManifoldNode },
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{ id := "domain_control", nodeType := "domain", name := "control", dimensionality := 12, description := "Irreversibility, thermodynamic length (Layer F)" : ManifoldNode },
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{ id := "domain_energy", nodeType := "domain", name := "energy", dimensionality := 10, description := "Q-factor, atmospheric windows (Layer G)" : ManifoldNode },
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{ id := "domain_algebra", nodeType := "domain", name := "algebra", dimensionality := 32, description := "Geometric algebra, group theory (Layer H)" : ManifoldNode },
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{ id := "domain_encoding", nodeType := "domain", name := "encoding", dimensionality := 8, description := "Voxel keys, bit-packing (Layer I)" : ManifoldNode },
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{ id := "domain_dynamics", nodeType := "domain", name := "dynamics", dimensionality := 16, description := "Time evolution, manifold deformation (Layer J)" : ManifoldNode },
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{ id := "domain_signal", nodeType := "domain", name := "signal", dimensionality := 32, description := "DSP, FFT, bracket braid (Layer K)" : ManifoldNode },
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{ id := "domain_application", nodeType := "domain", name := "application", dimensionality := 6, description := "FEA, engineering models (Layer L)" : ManifoldNode },
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{ id := "domain_informational", nodeType := "domain", name := "informational", dimensionality := 14, description := "Information theory, channel capacity" : ManifoldNode },
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{ id := "domain_geometric", nodeType := "domain", name := "geometric", dimensionality := 64, description := "Hyperbolic geometry, manifold structure" : ManifoldNode },
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{ id := "domain_quantum", nodeType := "domain", name := "quantum", dimensionality := 8, description := "QCLEnergy, quantum mechanics" : ManifoldNode }
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]
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let subdomainNodes := [
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{ id := "subdomain_Physics", nodeType := "subdomain", name := "Physics", categories := ["ParticleDomain", "NBody", "Boundary", "Conservation", "BindPhysics", "Interaction", "Projection", "QCLEnergy", "Examples"] : ManifoldNode },
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{ id := "subdomain_NIICore", nodeType := "subdomain", name := "NIICore", categories := ["MereotopologicalSheafHypergraph", "MorphicTriggers"] : ManifoldNode },
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{ id := "subdomain_Extensions", nodeType := "subdomain", name := "Extensions", categories := ["BettiSwoosh", "BlitterPolymorphism", "HyperbolicStateSurface", "ManifoldBlit", "MasterEquation", "NKCoupling", "SolitonEngine"] : ManifoldNode }
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]
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let allNodes := domainNodes ++ subdomainNodes
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let edges := [
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{ id := "edge_Physics_Extensions", edgeType := "import_dependency", source := "subdomain_Physics", target := "subdomain_Extensions", weight := Q1616.one, description := "" },
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{ id := "edge_Physics_Informational", edgeType := "theoretical", source := "subdomain_Physics", target := "domain_informational", weight := Q1616.one, description := "Physical systems with information-theoretic properties" },
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{ id := "edge_Topology_Algebra", edgeType := "theoretical", source := "domain_topology", target := "domain_algebra", weight := Q1616.one, description := "Topological structures with algebraic properties" },
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{ id := "edge_Geometric_Thermodynamic", edgeType := "theoretical", source := "domain_geometric", target := "domain_invariants", weight := Q1616.one, description := "Geometric manifolds with thermodynamic constraints (entropy/thermodynamic depth)" }
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]
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let topology := {
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dimension := 21,
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connectedComponents := 20,
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eulerCharacteristic := allNodes.length - edges.length
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: ManifoldTopology }
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{
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nodes := allNodes,
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edges := edges,
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coordinates := [],
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topology := topology
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: Manifold }
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/--
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Deep codebase analysis with manifold generation.
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Returns complete analysis including manifold structure.
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-/
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def deepCodebaseAnalysisWithManifold : Json :=
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let analysis := deepCodebaseAnalysis
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let manifold := createManifoldStructure
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let manifoldJson := Json.mkObj [
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("nodes", Json.num (manifold.nodes.length : Nat)),
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("edges", Json.num (manifold.edges.length : Nat)),
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("coordinates", Json.num (manifold.coordinates.length : Nat)),
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("topology", Json.mkObj [
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("dimension", Json.num manifold.topology.dimension),
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("connectedComponents", Json.num manifold.topology.connectedComponents),
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("eulerCharacteristic", Json.num manifold.topology.eulerCharacteristic)
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])
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]
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Json.mkObj [
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("domains", analysis.getObjValD "domains"),
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("subdomains", analysis.getObjValD "subdomains"),
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("tensor_types", analysis.getObjValD "tensor_types"),
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("manifold", manifoldJson),
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("metadata", Json.mkObj [
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("total_domains", Json.num 21),
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("total_subdomains", Json.num 3),
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("total_tensor_types", Json.num 6),
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("manifold_nodes", Json.num manifold.nodes.length),
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("manifold_edges", Json.num manifold.edges.length),
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("manifold_dimension", Json.num manifold.topology.dimension),
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("analysis_timestamp", Json.str "2026-04-23")
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])
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]
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end Semantics.SwarmAnalysis
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