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blackroad-os-research/papers/spiral-information-geometry/sig-factor-tree.md
2025-11-23 15:05:09 -06:00

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SIG Factor Tree

A SIG factor tree represents an agent or identity as a root node with branches that encode prime factors, attributes, and capabilities. The structure highlights how high-level intent decomposes into actionable, composable traits.

Structure

  • Root (agent/identity): The anchor of the tree, representing the worldline whose factors are being mapped.
  • Branches (prime factors): Core attributes such as mission, constraints, core capabilities, and ethical boundaries. Each branch can be tagged with weights or maturity levels.
  • Leaves (concrete traits): Specific skills, datasets, or controls that operationalize each factor. Leaves can point to datasets, models, or policy modules.

Mapping to SIG

  • Angular placement: Each branch aligns to an angle on the spiral, making categories visually separable.
  • Radial layering: Depth in the tree maps to radial distance; inner nodes are foundational, outer leaves are externally visible actions or artifacts.
  • Composition: Siblings can combine to form composite capabilities, enabling a readable map of how agents evolve.

Uses

  • Agent identity graphs: Provide a structured graph that links capabilities to an agent's PS-SHA∞ worldline.
  • Capability composition: Help orchestrators decide which capabilities to activate or quarantine when contradictions appear.
  • Gap analysis: Identify missing leaves or weak factors for targeted data collection or training.

TODOs

  • Define a serialization that aligns with schemas/sig.schema.json for automatic visualization.
  • Experiment with scoring factors to generate spiral coordinates for plotting.