Systemic Tau and the RECD Framework: A Relational Theory of Hierarchical Ordinal Conjunctions and Critical Transitions in Complex Systems
Resumen
Theoretical framework for early warning of critical transitions based on two complementary constructs. Systemic Tau (τ_s) is an ordinal, multivariate measure of cross-variable coupling that tracks relational coherence via Kendall-type rank concordance. The Discrete Extramental Clock (RECD) builds an intrinsic, event-driven time metric from nested ordinal conjunctions (coincidence, persistent structure, and irreducible synergistic surplus).
Tipo
Status
CC-BY-4.0
Key contributions
- Systemic Tau (τ_s): ordinal multivariate coupling via Kendall-type rank concordance.
- RECD: intrinsic event-driven time from nested ordinal conjunctions (coincidence → persistence → synergistic surplus).
- Unified relational theory for hierarchical ordinal structure and critical transitions.
- Anchor preprint for the open software and monographic program.
Links
| Resource | URL |
|---|---|
| DOI / PDF | 10.5281/zenodo.21287252 |
| Software | Academy Learning Tau |
| Synthesis | Second Edition monograph |
Citation
Padilla-Villanueva, J. (2026). Systemic Tau and the RECD framework: A relational theory of hierarchical ordinal conjunctions and critical transitions in complex systems. Zenodo. https://doi.org/10.5281/zenodo.21287252
Autores
Auxiliary Professor (UPR Carolina) · Adjunct (UPR Medical Sciences Campus) · Independent Researcher
Investigador independiente y profesor universitario en salud ambiental, dinámica de enfermedades vectoriales y marcos teóricos para sistemas complejos. Tesis DrPH (UPR, 2022): dinámica espaciotemporal de Aedes aegypti en el Caño Martín Peña, San Juan, Puerto Rico.
Programa actual: Systemic Tau (τ_s) y el Reloj Extramental Discreto (RECD) — métricas ordinales, tiempo discreto anidado, dependencia de orden superior (excess³ / Φ₃) y alerta temprana (dengue). Software: Academy Learning Tau y Systemic Tau. Monografías: Systemic Tau and the Discrete Architecture of Time (2.ª ed.) y El acto de ser relacional-discreto (Leonardo Polo).