LOG 1.0: SEMANTIC DIVERGENCE UNDER ABSTRACTION

Date: 2025-12-01

Status: Observational

Related Artifact: Plotly Semantic trajectory visualization

Context: During the analysis of multi-turn, high-context conversational exchanges, a recurring pattern was observed: semantic similarity between user and system responses decreased across successive turns, even when the interaction remained coherent and stable. This pattern appeared consistently across multiple runs and model combinations, including cases where no task failure, loss of context or hallucination was detected. These observations were recorded as part of ongoing field logs associated with trajectory-based visualization of interaction dynamics. 

Observation: In exchanges characterized by metaphor, abstraction, or compressed meaning, cosine similarity scores declined relative to more literal or task-oriented interactions. Despite this decrease, the interaction did not exhibit instability. The semantic trajectory remained bounded across turns, and systems responses repeatedly returned toward a shared semantic neighborhood rather than diverging indefinitely. When visualized, these interactions produced a recurring, curved trajectory distinct from both linear convergence and unstructured dispersion.

Interpretation: These observations suggest that reduced semantic similarity does not necessarily correspond to misalignment or interaction drift in high-context exchanges. In contexts involving abstraction or metaphor, maintaining coherence may require temporary divergence from surface-level semantic overlap. In this sense, semantic distance reflects transformation rather than degradation. Stability appears to be preserved through recurrent return toward shared intent rather than through strict similarity at each turn. 

Open Questions:

• Can this transformation cost be quantified independently of cosine similarity measures? 
• Is there a threshold of abstraction beyond which bounded recurrence breaks down?
• Do different models exhibit different recovery or return  behaviors under sustained abstraction?