Preprint | Dr. Johel Padilla-Villanueva, DrPHhttps://johelpadilla.github.io/academic-site/publication_types/preprint/PreprintHugoBlox Kit (https://hugoblox.com)es-esThu, 16 Jul 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/media/icon_hu_eee4a95885829ab2.pngPreprinthttps://johelpadilla.github.io/academic-site/publication_types/preprint/Integrating Φ₃ (excess³) into RECD Dynamics: From Parallel Metric to Structural Clock Contributionhttps://johelpadilla.github.io/academic-site/publications/phi3-recd-integration/Thu, 16 Jul 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/phi3-recd-integration/<h2 id="key-contributions">Key contributions</h2> <ul> <li>Couples <strong>Φ₃ / excess³</strong> into <strong>RECD</strong> dynamics (bilingual EN + ES).</li> <li><strong>Proposal 1</strong> (default): legacy RECD increment × surplus-gated gain Γ₃ with activation gate A₃.</li> <li><strong>Proposal 2</strong> (experimental): dual-channel advance of the discrete clock.</li> <li>Shifts Φ₃ from a <em>parallel</em> metric toward a <em>structural</em> clock contribution.</li> </ul> <h2 id="links">Links</h2> <table> <thead> <tr> <th>Resource</th> <th>URL</th> </tr> </thead> <tbody> <tr> <td>DOI / PDF</td> <td> </td> </tr> <tr> <td>Code</td> <td> </td> </tr> <tr> <td>Methods base</td> <td> </td> </tr> </tbody> </table> <h2 id="citation">Citation</h2> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-fallback" data-lang="fallback"><span class="line"><span class="cl">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 </span></span></code></pre></div>excess³: A Pre-Specified Continuous Proxy for Order-3 Synergistic Surplus — Methods and Synthetic Validationhttps://johelpadilla.github.io/academic-site/publications/excess3-methods-2026/Wed, 15 Jul 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/excess3-methods-2026/<h2 id="key-contributions">Key contributions</h2> <ul> <li>Defines <strong>excess³</strong> as a pre-specified continuous proxy for <strong>order-3 synergistic surplus</strong>.</li> <li>Specifies null protocol, reporting checklist, and synthetic validation suite.</li> <li>Companion materials: Spanish dense introduction + English cross-disciplinary guide.</li> <li>Feeds Level-3 structure (Φ₃) into the RECD clock program.</li> </ul> <h2 id="links">Links</h2> <table> <thead> <tr> <th>Resource</th> <th>URL</th> </tr> </thead> <tbody> <tr> <td>DOI / PDF</td> <td> </td> </tr> <tr> <td>Code</td> <td> </td> </tr> <tr> <td>Related</td> <td> </td> </tr> </tbody> </table> <h2 id="citation">Citation</h2> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-fallback" data-lang="fallback"><span class="line"><span class="cl">Padilla-Villanueva, J. (2026). excess³: A pre-specified continuous proxy for order-3 synergistic surplus — methods and synthetic validation. Zenodo. https://doi.org/10.5281/zenodo.21385937 </span></span></code></pre></div>Systemic Tau and the RECD Framework: A Relational Theory of Hierarchical Ordinal Conjunctions and Critical Transitions in Complex Systemshttps://johelpadilla.github.io/academic-site/publications/systemic-tau-recd-framework/Fri, 10 Jul 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/systemic-tau-recd-framework/<h2 id="key-contributions">Key contributions</h2> <ul> <li><strong>Systemic Tau (τ_s):</strong> ordinal multivariate coupling via Kendall-type rank concordance.</li> <li><strong>RECD:</strong> intrinsic event-driven time from nested ordinal conjunctions (coincidence → persistence → synergistic surplus).</li> <li>Unified relational theory for hierarchical ordinal structure and critical transitions.</li> <li>Anchor preprint for the open software and monographic program.</li> </ul> <h2 id="links">Links</h2> <table> <thead> <tr> <th>Resource</th> <th>URL</th> </tr> </thead> <tbody> <tr> <td>DOI / PDF</td> <td> </td> </tr> <tr> <td>Software</td> <td> </td> </tr> <tr> <td>Synthesis</td> <td> </td> </tr> </tbody> </table> <h2 id="citation">Citation</h2> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-fallback" data-lang="fallback"><span class="line"><span class="cl">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 </span></span></code></pre></div>Dimensión fractal D ≈ 1.98 del tiempo extramental acumulado en sistemas caóticos: conjugación 2-ádica y renormalización ordinal (cotas rigurosas 1.96–2.01)https://johelpadilla.github.io/academic-site/publications/tau-sistemico-recd-2026/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/tau-sistemico-recd-2026/<h2 id="aportes-principales">Aportes principales</h2> <ul> <li>Dimensión fractal del <strong>tiempo extramental acumulado</strong> en sistemas caóticos: <strong>D ≈ 1.98</strong>.</li> <li>Cotas rigurosas <strong>1.96–2.01</strong> bajo el paradigma Tau Sistémico / RECD.</li> <li>Demostración vía <strong>conjugación 2-ádica</strong> y <strong>renormalización ordinal</strong>.</li> </ul> <h2 id="enlaces">Enlaces</h2> <table> <thead> <tr> <th>Recurso</th> <th>URL</th> </tr> </thead> <tbody> <tr> <td>DOI / PDF</td> <td> </td> </tr> <tr> <td>Framework</td> <td> </td> </tr> </tbody> </table> <h2 id="cita">Cita</h2> <div class="highlight"><pre tabindex="0" class="chroma"><code class="language-fallback" data-lang="fallback"><span class="line"><span class="cl">Padilla-Villanueva, J. (2026). Dimensión fractal D ≈ 1.98 del tiempo extramental acumulado en sistemas caóticos: conjugación 2-ádica y renormalización ordinal (cotas rigurosas 1.96–2.01). Zenodo. https://doi.org/10.5281/zenodo.20619058 </span></span></code></pre></div>El Paradigma del Tau Sistémico y la Ley del Reloj Extramental Discreto en Sistemas Complejos (versión ilustrada)https://johelpadilla.github.io/academic-site/publications/paradigma-tau-sistemico/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/paradigma-tau-sistemico/Hacia una ontología del presente en sistemas complejos: RECD, persistencia intensificada y la dinámica de la fragmentaciónhttps://johelpadilla.github.io/academic-site/publications/02-ontologia-presente-recd/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/02-ontologia-presente-recd/Mathematical Characterization of a Three-Layer Ontological Framework for Dengue Early Warning Using Joint Episodeshttps://johelpadilla.github.io/academic-site/publications/07-dengue-three-layer/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/07-dengue-three-layer/Reconstructing unimodal first-return maps from ordinal coherence in time series: a methodological note with validation on canonical systems and application to laboratory population datahttps://johelpadilla.github.io/academic-site/publications/reconstructing-first-return-maps/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/reconstructing-first-return-maps/Tau Sistémico y patrones ordinales multivariados para la detección temprana de brotes de dengue: evidencia en datos reales de Iquitos y San Juanhttps://johelpadilla.github.io/academic-site/publications/dengue-early-warning-2026/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/dengue-early-warning-2026/Teorema de Feigenbaum - Versión Estilo Revistahttps://johelpadilla.github.io/academic-site/publications/11-teorema-feigenbaum-revista/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/11-teorema-feigenbaum-revista/Teorema: Reducción Deductiva a la Universalidad de Feigenbaum bajo Observabilidad Ordinal en el Tau Sistémico y la Construcción del Reloj Extramental Discreto (RECD)https://johelpadilla.github.io/academic-site/publications/09-feigenbaum-reduction-theorem/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/09-feigenbaum-reduction-theorem/The Discrete Extramental Clock as Bayesian Optimal Accumulator: Large Deviations, Renormalization, and Strong Optimality under Purely Ordinal Observabilityhttps://johelpadilla.github.io/academic-site/publications/04-recd-bayesian-accumulator/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/04-recd-bayesian-accumulator/The Joint Episode as an Ontological-Temporal Unit: Mathematical Characterization, Structural Properties, and Transitions in Complex Systemshttps://johelpadilla.github.io/academic-site/publications/05-joint-episode-ontological/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/05-joint-episode-ontological/The Principle of Ontological Ascent: Emergence of New Regimes of Temporal Discreteness through Hierarchical Reorganizationhttps://johelpadilla.github.io/academic-site/publications/03-principle-ontological-ascent/Mon, 01 Jun 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/03-principle-ontological-ascent/