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A Conservation Law for Commitment in Language Under Transformative Compression and Recursive Application

Authors: McHenry, Deric J.;

A Conservation Law for Commitment in Language Under Transformative Compression and Recursive Application

Abstract

This repository introduces a conservation law for commitment in language under transformative compression and recursive application. We formalize commitment as an information-bearing invariant that must be preserved across paraphrase, summarization, and iterative reuse, even as surface form and representation change. We propose a falsifiability framework that operationalizes this invariant using compression-based stress tests and lineage-aware evaluation, distinguishing semantic preservation from mere token retention. The framework is designed to be model-agnostic and applicable to both human and machine-generated language. This disclosure presents the theoretical law, evaluation criteria, and architectural relationships. Implementation mechanisms are outside the scope of this paper.

Keywords

LLM, Machine Learning Theory, Information Theory, Compression, computer science, Computational linguistics, artificial intelligence, Falsifiability, Commitment, Machine learning, conservation law, Recursion, Falsiability, Computation and Language, Semantic preservation, Language Models

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