Organize research library and schemas

papers/spiral-information-geometry/sig-overview.md

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+# Spiral Information Geometry (SIG) Overview
+
+Spiral Information Geometry (SIG) frames knowledge, agents, and state transitions on a spiral manifold. Positions on the spiral capture both path dependency and growth, letting identities be located in a geometry that encodes recurrence, divergence, and convergence of information.
+
+## Intuition
+
+The spiral represents the "road" of an evolving system:
+
+- **Path dependency:** Movement along the spiral encodes history; nearby turns contain echoes of prior states.
+- **Growth:** Radial expansion reflects accumulation of capability, context, and commitments.
+- **Recurrence:** Angular positions revisit themes, allowing cyclic patterns to be recognized and journaled.
+
+## Components
+
+- **Factorization:** Prime factors or salient attributes define how an agent decomposes into building blocks. These factors map to angular slots or branches.
+- **Layers:** Radial layers capture maturity, certainty, or energy of a factor; inner layers represent seed states, while outer layers represent committed, externalized knowledge.
+- **Factor Trees:** Trees organize factors into nested structures that can be rendered onto the spiral to show composition and inheritance.
+
+## Applications
+
+- **Agent mapping:** Place agents or subsystems on the spiral to track capability clusters and blind spots.
+- **Contradiction surfacing:** Overlay contradictions as perturbations or opposing vectors at specific angles.
+- **Capability planning:** Use the spiral to plan expansion paths, balancing radial growth with angular diversity.
+
+## TODOs
+
+- Formalize a mapping from factor trees to spiral coordinates (radius, angle, rotation history).
+- Define metrics for distance and similarity between agents on the spiral.