1.7 KiB
1.7 KiB
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.