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PreprintCC BY 4.0Zenodo

Semantic Coherence Index V1.0: An Empirical Framework for Longitudinal Language-Model Interaction Measurement

Abstract

An Empirical Framework for Longitudinal Language-Model Interaction Measurement presents the Semantic Coherence Index (SCI), an empirical framework developed to measure the preservation, transformation, and recurrence of semantic structure across extended language-model interactions. Originating from longitudinal cross-model research and controlled local execution experiments, SCI introduces six measurable dimensions: semantic drift, alignment tax, runtime stability, temporal recurrence, cross-model consistency, and transformation resiliency. The framework distinguishes raw experimental observations from normalized measurements, estimator construction, and downstream interpretation, enabling researchers to evaluate changes in semantic behavior without relying on a single fixed scoring equation or universal threshold. Through controlled comparisons, cross-model transmission, persistent-state analysis, and transformation testing, the manuscript establishes a reproducible methodology for examining semantic continuity and behavioral variation across heterogeneous language-model environments. SCI provides a foundation for investigating model stability, structural preservation, and environmental influences on language-model behavior while supporting independent calibration, validation, and further experimental development.

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BibTeX
@misc{callegari2026semantic,
  title = {{Semantic Coherence Index V1.0: An Empirical Framework for Longitudinal Language-Model Interaction Measurement}},
  author = {Tara Callegari},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23650049},
  url = {https://zenodo.org/records/23650049},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Semantic Coherence Index V1.0: An Empirical Framework for Longitudinal Language-Model Interaction Measurement
AU  - Tara Callegari
PY  - 2026
DA  - 2026/10/25
PB  - Zenodo
DO  - 10.5281/zenodo.23650049
UR  - https://zenodo.org/records/23650049
AB  - An Empirical Framework for Longitudinal Language-Model Interaction Measurement presents the Semantic Coherence Index (SCI), an empirical framework developed to measure the preservation, transformation, and recurrence of semantic structure across extended language-model interactions. Originating from longitudinal cross-model research and controlled local execution experiments, SCI introduces six measurable dimensions: semantic drift, alignment tax, runtime stability, temporal recurrence, cross-model consistency, and transformation resiliency. The framework distinguishes raw experimental observations from normalized measurements, estimator construction, and downstream interpretation, enabling researchers to evaluate changes in semantic behavior without relying on a single fixed scoring equation or universal threshold. Through controlled comparisons, cross-model transmission, persistent-state analysis, and transformation testing, the manuscript establishes a reproducible methodology for examining semantic continuity and behavioral variation across heterogeneous language-model environments. SCI provides a foundation for investigating model stability, structural preservation, and environmental influences on language-model behavior while supporting independent calibration, validation, and further experimental development.
ER  -