Integrating Φ₃ (excess³) into RECD Dynamics: From Parallel Metric to Structural Clock Contribution
jul 16, 2026·
·
1 min de lectura
Dr. Johel Padilla-Villanueva, DrPH
Resumen
Bilingual academic preprint (English + Spanish) on coupling Level-3 ordinal synergy (Φ₃ / excess³) into the Discrete Extramental Clock (RECD). Proposal 1 (operational default) multiplies the legacy RECD increment by a surplus-gated gain Γ₃ with hardened activation gate A₃. Proposal 2 is experimental (dual-channel advance). Moves Φ₃ from a parallel metric toward a structural contribution to the discrete clock.
Tipo
Status
CC-BY-4.0
Key contributions
- Couples Φ₃ / excess³ into RECD dynamics (bilingual EN + ES).
- Proposal 1 (default): legacy RECD increment × surplus-gated gain Γ₃ with activation gate A₃.
- Proposal 2 (experimental): dual-channel advance of the discrete clock.
- Shifts Φ₃ from a parallel metric toward a structural clock contribution.
Links
| Resource | URL |
|---|---|
| DOI / PDF | 10.5281/zenodo.21400599 |
| Code | github.com/johelpadilla/phi3-recd |
| Methods base | excess³ methods |
Citation
Padilla-Villanueva, J. (2026). Integrating Φ₃ (excess³) into RECD dynamics: From parallel metric to structural clock contribution. Zenodo. https://doi.org/10.5281/zenodo.21400599
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).