This deposit contains the v1. 0 stable release of the technical paper "The Joint Episode as an Ontological-Temporal Unit" together with the complete, fully reproducible Python codebase that generated all results reported in Section 6 (Synthetic Validation). We develop the Joint Episode as a mathematically precise and ontologically primitive temporal unit for the study of complex systems. Within the three-layer framework of systemic persistence, a Joint Episode is the maximal interval of sustained low antisynchrony A (k) (Layer 2 coherence and permeability) that contains at least one significant peak of the critical-mass metric M (Layer 1 intensification of Systemic Tau τₛ). It constitutes a kairos—a structured temporal window in which local persistence acquires the relational conditions that raise the possibility, but not the certainty, of global reorganization. The core descriptors introduced are the Joint Score J = D · M̄ (and its bias-reduced form J₀. ₇), duration D, and an associated Confidence Score. Synthetic validation on coupled logistic maps and the Lorenz attractor reveals clear regime dependence. Even under oracle labeling that supplies perfect knowledge of Layer-3-proximal episodes, the best-performing score achieves only AUC ≈ 0. 476 in the low-dimensional Lorenz testbed. This demonstrates that the Joint Episode functions primarily as a robust detector of L1–L2 coherence rather than a strong predictor of subsequent structural change. The framework provides both an operational detection procedure and a non-reductive ontological account of how intensified local becoming participates in systemic transitions, always subject to the empirical limits established in the validation. Keywords: Joint Episode; ontological-temporal unit; Systemic Tau; recurrence quantification analysis; antisynchrony; complex systems; structural transitions; persistence; kairos. Reproducibility: All source code, configuration files, synthetic generators, and results are available at: https: //github. com/johelpadilla/ontologia-presente/tree/main/joint-episode-paper This deposit is also archived at Zenodo: https: //doi. org/10. 5281/zenodo. 20755186
Johel Padilla (Fri,) studied this question.