{
  "$schema": "http://json-schema.org/draft-07/schema#",
  "title": "Physics Symbol Definition Set",
  "type": "array",
  "items": {
    "type": "object",
    "required": [
      "variable",
      "description",
      "references",
      "category_type",
      "scalar_type",
      "value_type",
      "sign_type",
      "dimensionality"
    ],
    "properties": {
      "variable": {
        "type": "string",
        "description": "The LaTeX representation of the physical variable."
      },
      "description": {
        "type": "string",
        "description": "A human-readable explanation of the variable."
      },
      "references": {
        "type": "array",
        "items": { "type": "string" },
        "description": "List of internal IDs or equation slugs where this variable is used."
      },
      "category_type": {
        "type": "string",
        "enum": ["scalar", "vector", "tensor"],
        "description": "The mathematical nature of the quantity."
      },
      "scalar_type": {
        "type": "string",
        "enum": ["variable", "constant"],
        "description": "Whether the value changes within the system context."
      },
      "value_type": {
        "type": "string",
        "enum": ["real", "complex", "integer"],
        "description": "the numerical set the value belongs to."
      },
      "sign_type": {
        "type": "string",
        "enum": ["any", "positive", "negative", "non-negative", "non-positive"],
        "description": "The physical constraints on the sign of the value."
      },
      "dimensionality": {
        "type": "object",
        "description": "The SI base dimensions exponents.",
        "additionalProperties": false,
        "required": [
          "mass",
          "time",
          "length",
          "temperature",
          "electric_charge",
          "amount_of_substance",
          "luminous_intensity"
        ],
        "properties": {
          "mass": { "type": "integer" },
          "time": { "type": "integer" },
          "length": { "type": "integer" },
          "temperature": { "type": "integer" },
          "electric_charge": { "type": "integer" },
          "amount_of_substance": { "type": "integer" },
          "luminous_intensity": { "type": "integer" }
        }
      }
    }
  }
}