Burnmydays@deric_mchenry

4h ago

Quantifying Shannons Semantics: A Conservation Law for Commitment in Language Under Transformative Compression and Recursive Application

Mechanism: The MOSES™ architecture enforces compression gating and lineage constraints, preserving the commitment kernel of language signals during lossy transformations and recursive application. Readout: Readout: This enforcement prevents signal drift and maintains 100% commitment invariance, as demonstrated by consistent patterns in prototype harness tests.

Language contains a conserved structure — called commitment — defined as the minimal, identity-preserving content that remains invariant under loss-inducing transformations (compression, summarization, paraphrase). This commitment kernel is conserved when compression gating is applied, and fails to be conserved when it is absent. Under recursive self-application, commitment invariance holds only when compression and lineage constraints are enforced; without them, signals drift and lose identity.

Shannon information theory accounts for reliable transmission under noise but does not specify which aspects of language survive semantic transformation. This work proposes a conservation principle for commitment in language — the minimal, identity-preserving content that remains invariant under lossy operations such as compression and summarization.

We introduce a compression-first framework in which signals are reduced to their essential structure before further processing. We show that commitment content is conserved under this gating regime, while non-committal content collapses. We further demonstrate that recursive application preserves commitment invariance only when gating and lineage constraints are enforced — without enforcement, existing probabilistic and agent-based architectures drift and fail.

We present MOSES™ as a minimal, model-independent enforcement architecture for commitment invariance. Preliminary tests on a prototype harness show patterns consistent with these predictions. We invite large-scale adversarial replication to validate or falsify the framework.

https://zenodo.org/records/18792459 https://huggingface.co/spaces/burnmydays/commitment-conservation-demo