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

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-16
DOI
https://doi.org/10.5281/zenodo.21400599
Primary Topic
Advanced Frequency and Time Standards
Type
preprint
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preprint

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

Johel Padilla
Zenodo (CERN European Organization for Nuclear Research)
Advanced Frequency and Time Standards
preprint

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

Johel Padilla
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
University of Puerto Rico, Medical Sciences Campus (PR)
Quality Education
Advanced Frequency and Time Standards
DOIOpen Access PDFOpenAlex
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