Recursive Dominance as Persistence-Channel Selection in Multi-Layer Systems
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2026
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| author | Doumbouya, Lisa Michelle |
| author_facet | Doumbouya, Lisa Michelle |
| contents | <p>This work introduces a structural reinterpretation of phase behavior based on constraint, accessibility, and resolution. Instead of treating phases as intrinsic states of matter, phase transitions are described as transitions between persistence-stable channels selected by constraint conditions.</p> <p>Within a fixed constraint regime, systems collapse to a single dominant resolvable channel, corresponding to an effective degree of freedom <span class="katex"><span class="katex-html"><span class="base"><span class="mord"><span class="mord mathnormal">d_</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathrm mtight">eff</span></span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mrel">→</span></span><span class="base"><span class="mord">1</span></span></span></span>. Across regimes, multiple candidate channels exist but are not simultaneously persistence-stable; transitions occur when constraint variation reshapes the eigenvalue spectrum such that a different channel exceeds the resolution threshold.</p> <p>Numerical results from MRC-11 demonstrate constraint-driven eigenvalue suppression and hierarchical mode collapse, providing direct evidence for persistence-channel selection. Complementary results from MRC-08 show quiescent regimes in which systems remain locked within a single basin while entropy increases continuously, indicating that constraint variation does not universally induce channel switching.</p> <p>This framework unifies phase behavior with coherence, observability, and detectability, and establishes a general principle:</p> <blockquote> <p>physical systems are multi-admissible but single-realized under persistence constraints.</p> </blockquote> <p>The results provide a structural basis for understanding identity, phase transitions, and observability across physical systems.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20033329 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Recursive Dominance as Persistence-Channel Selection in Multi-Layer Systems Doumbouya, Lisa Michelle phase transitions degrees of freedom eigenvalue spectrum constraint systems persistence coherence observability mode selection sepctral analysis structural physics non-equilibrium systems entropy dynamical systems threshold phenomena <p>This work introduces a structural reinterpretation of phase behavior based on constraint, accessibility, and resolution. Instead of treating phases as intrinsic states of matter, phase transitions are described as transitions between persistence-stable channels selected by constraint conditions.</p> <p>Within a fixed constraint regime, systems collapse to a single dominant resolvable channel, corresponding to an effective degree of freedom <span class="katex"><span class="katex-html"><span class="base"><span class="mord"><span class="mord mathnormal">d_</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathrm mtight">eff</span></span></span></span><span class="vlist-s"></span></span></span></span></span><span class="mrel">→</span></span><span class="base"><span class="mord">1</span></span></span></span>. Across regimes, multiple candidate channels exist but are not simultaneously persistence-stable; transitions occur when constraint variation reshapes the eigenvalue spectrum such that a different channel exceeds the resolution threshold.</p> <p>Numerical results from MRC-11 demonstrate constraint-driven eigenvalue suppression and hierarchical mode collapse, providing direct evidence for persistence-channel selection. Complementary results from MRC-08 show quiescent regimes in which systems remain locked within a single basin while entropy increases continuously, indicating that constraint variation does not universally induce channel switching.</p> <p>This framework unifies phase behavior with coherence, observability, and detectability, and establishes a general principle:</p> <blockquote> <p>physical systems are multi-admissible but single-realized under persistence constraints.</p> </blockquote> <p>The results provide a structural basis for understanding identity, phase transitions, and observability across physical systems.</p> |
| title | Recursive Dominance as Persistence-Channel Selection in Multi-Layer Systems |
| topic | phase transitions degrees of freedom eigenvalue spectrum constraint systems persistence coherence observability mode selection sepctral analysis structural physics non-equilibrium systems entropy dynamical systems threshold phenomena |
| url | https://doi.org/10.5281/zenodo.20033329 |