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.
Related
- An Interaction-Aware Decision Framework for FDIC-Assisted Distressed Bank Acquisitions: Empirical Evidence from the FDIC Failed-Bank Panel and the SVB-First Citizens Case
- Omega-u Civilizational Framework — Work 26: Empirical Calibration and Falsifiability Framework — Measurement Discipline, Anti-Self-Deception Rules and Operational Validation Protocols
- Dual-informant clinical outcome assessment in the inclusive orchestra: measurement architecture for neurodevelopmental disorders prior to empirical evaluation
- Dimensional convergence at the nanoscale: a novel synthesis of experimental evidence justifying direct measurement of quantum coherence in microtubules
- Moralized authoritarianism in the Sahel: Theory, measurement and empirical evidence (20202025)
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 -