Structural Time Framework: Ontology, Dynamics, and the Temporal Health Monitor (THM) Probe

Abstract

Preprint archive for the Structural Time Framework (STF), comprising four core manuscripts, formal mathematical appendix, and full replication assets: Core Manuscripts Structural Time: Ontology — Core philosophical foundation establishing time as an emergent order created by an observer $K$, constrained by logical compatibility with abstract state space $(S, V)$ (Asymmetry Conjecture). (Note: Formal proofs and mathematical derivations are provided in the standalone Appendix A document). Structural Time: Dynamics — Nonlinear dynamical theory of temporal experience introducing bounded temporal density $T(K)$, four emergent regimes (Active, Frozen, Decayed, Critical), numerical $K_{eq}$ recomputation, and contemplative/meditative-state dynamics. Structural Time Framework: Computational Evaluation Report — Three-phase computational evaluation protocol covering synthetic regime separation, cross-model THM baseline on 5 LLM architectures, and Phase-1 real cross-architecture forced-false/jailbreak probing. THM: A Structural-Dynamical Probe — Temporal Health Monitor (THM) for tracking hidden-state trajectories in LLMs, demonstrated on Gemma-4-E2B-it with length-controlled TruthfulQA forced-false detection (AUC 0.858) and jailbreak boundary analysis. Supplementary Documents & Replication Assets Appendix A (Standalone Supplement): Contains the formal mathematical audit, including the Bridge Assumption and non-vacuity threshold analysis for the Ontology paper. Data & Artifacts: Includes 7 experiment logs, calibration data, Phase-0 math audit scripts, Phase-1 AI probing scripts, and the full simulation pipeline. Code Repository: Source code is archived separately at GitHub (DOI: 10.5281/zenodo.20371010).