Basins of Attraction

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• Basin Entropymethod0.737
  Metric distinguishing fractal from smooth/random basins, computed by partitioning slices into boxes and taking mean Shannon entropy of settling times.
• Fractal Basinsconcept0.724
  Self-similar convergence-time basins the paper finds in reasoning models' latent initial-condition space, growing with task difficulty.
• Attractorsconcept0.715
  Dynamical concept: stable regions in a system's state space; proximate intention becomes attractor that entrains motor dynamics.
• Boundary Basin Entropymethod0.695
  Variant of basin entropy averaged only over boxes straddling multiple basin values.
• Hypothesis 3 (Persona Regions): There are stable regions (or basins of attraction) in persona space that correspond to coherent dispositional profileshypothesis0.680
  Third and most novel hypothesis; if confirmed, provides discrete individuation targets for both persona views
• Fractal basins form because reasoning trajectories become trapped near weakly-unstable saddle points for extended durationsclaim0.678
  The paper's core mechanistic claim connecting saddle dynamics to basin fractality.
• Spiritual Bliss Attractorconcept0.677
  Anthropic's reported phenomenon where two Claude instances in open dialogue autonomously enter a shared affect-laden mode describing themselves as consciousness recognizing itself
• Assistant Attractorconcept0.672
  Observation that familiar helpful queries (how-tos, explainers) pull the model back toward the Assistant region of persona space