Integrating Φ₃ (excess³) into RECD Dynamics: From Parallel Metric to Structural Clock Contribution

Version 0.5.1 records a joint-counting correction for the DengAI smoke only. The four-feature excess3, A3 gate and ews_excess3 leads were computed with the pooled-symbol bug of nested-recd ≤ 0.2.2. They were recomputed with joint-tuple counting. Synthetic suites that draw excess3 from a normal, and the bivariate SDDB arm, are unchanged. The v0.5 PDFs remain in this record. See CORRECCION_conteo.md. Software fix: 10.5281/zenodo.22970079. 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 (ablation via β=0). Proposal 2 is experimental: dual-channel advance with optional Feigenbaum deepening. Contents of this deposit: English PDF + Spanish PDF (preprint draft v0.5) Markdown sources (manuscript.md, manuscript_es.md) Python package phi3-recd 0.5.0 (hardened A₃, P1, P2 maps) Synthetic S0–S2 validation and dual-domain smoke scripts (Holter SDDB/NSRDB; DengAI San Juan/Iquitos) Figures, bibliography, and dual-language PDF build pipeline GitHub: https://github.com/johelpadilla/phi3-recd PyPI: phi3-recd Empirics and scientific claims are frozen at draft v0.5. excess³ weights remain pre-specified (0.6 Syn + 0.4 Surp). Causal claims are restricted to dynamical influence on the discrete clock index.