{
  "id": "lib-process:physics--mathematical-model-derivation",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "mathematical-model-derivation",
    "description": "Systematic derivation of mathematical models from first principles to describe physical systems,\nincluding Hamiltonian/Lagrangian formulations, symmetry analysis, and validation against known cases.",
    "libraryPath": "library/specializations/domains/science/physics/mathematical-model-derivation.js",
    "specialization": "physics",
    "references": [
      "- Goldstein, Classical Mechanics\n- Landau & Lifshitz, Mechanics\n- Arnold, Mathematical Methods of Classical Mechanics"
    ],
    "example": "const result = await orchestrate('specializations/domains/science/physics/mathematical-model-derivation', {\n  systemName: 'Coupled Harmonic Oscillators',\n  physicalDomain: 'Classical Mechanics',\n  degreesOfFreedom: ['position_1', 'position_2', 'momentum_1', 'momentum_2'],\n  constraints: ['total_energy_conserved', 'periodic_boundary_conditions'],\n  knownLimits: ['weak_coupling_limit', 'single_oscillator_limit']\n});",
    "usesAgents": [
      "theoretical-model-developer",
      "perturbation-theory-analyst",
      "physics-paper-writer"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "domain:physics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "workflow:peer-review-cycle",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "specialization:physics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "lib-agent:physics--theoretical-model-developer",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "lib-agent:physics--perturbation-theory-analyst",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    },
    {
      "from": "lib-process:physics--mathematical-model-derivation",
      "to": "lib-agent:physics--physics-paper-writer",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}