Complex Systems | Dr. Johel Padilla-Villanueva, DrPHhttps://johelpadilla.github.io/academic-site/tags/complex-systems/Complex SystemsHugoBlox Kit (https://hugoblox.com)es-esFri, 10 Jul 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/media/icon_hu_eee4a95885829ab2.pngComplex Systemshttps://johelpadilla.github.io/academic-site/tags/complex-systems/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>Systemic Tau (τ_s)https://johelpadilla.github.io/academic-site/project/systemic-tau/Wed, 01 Jul 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/project/systemic-tau/<p><strong>Systemic Tau (τ_s)</strong> es una medida ordinal multivariada de acoplamiento entre variables: rastrea coherencia relacional vía concordancias de rango (estilo Kendall), más allá de la amplitud univariada.</p> <h3 id="entregables">Entregables</h3> <ul> <li>Marco teórico RECD / τ_s ( )</li> <li>Monografía <em>Systemic Tau and the Discrete Architecture of Time</em> (2.ª ed.)</li> <li>App de escritorio macOS <strong>Systemic Tau</strong> ( )</li> <li>Plataforma educativa </li> </ul>Systemic Tau and the Discrete Architecture of Time (Second Edition)https://johelpadilla.github.io/academic-site/publications/tau-sistemic-second-edition/Wed, 01 Jul 2026 00:00:00 +0000https://johelpadilla.github.io/academic-site/publications/tau-sistemic-second-edition/<h2 id="key-contributions">Key contributions</h2> <ul> <li>Program synthesis for <strong>Systemic Tau / RECD</strong> (2022–2026).</li> <li>Second Edition extensions: <strong>excess³ / Φ₃</strong>, three-layer ontology, ontological ascent, nested ordinal depth.</li> <li>Bridges methods preprints, software, and philosophical continuations.</li> <li>ISBN <strong>979-8-18776-367-2</strong>.</li> </ul> <h2 id="links">Links</h2> <table> <thead> <tr> <th>Resource</th> <th>URL</th> </tr> </thead> <tbody> <tr> <td>PDF (site)</td> <td> </td> </tr> <tr> <td>Framework</td> <td> </td> </tr> <tr> <td>excess³</td> <td> </td> </tr> <tr> <td>Φ₃–RECD</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 Discrete Architecture of Time (2nd ed.). Independently published. ISBN 979-8-18776-367-2. </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>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/