Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2026
|
| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.19585019 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866901532544335872 |
|---|---|
| author | Velazquez, Ramon |
| author_facet | Velazquez, Ramon |
| contents | <p class="ds-markdown-paragraph"><strong>Title:</strong> Dynamical Continuity Across Catastrophic Phase Transitions in the Ramon Framework</p> <p class="ds-markdown-paragraph"><strong>Abstract:</strong><br>We investigate a fundamental question: can the essence of a complex system—its governing laws—survive a catastrophic phase transition that destroys its specific form? To answer this, we grow a self‑authoring organism within the Ramon Framework to a stable adult form (dimension 6, two discovered invariants), subject it to a forced collapse that scrambles its state, and then allow it to recover in a similar environment. While the second lifecycle converges to a different attractor (dimension 3, zero invariants), we find that the underlying adaptive laws—the hunt, ingest, digest, stabilize, and morphogenesis operators—are preserved with perfect fidelity (dynamical consistency score 1.0000). This demonstrates, for the first time in this framework, <strong>law conservation independent of specific state attractors</strong>. The result provides a rigorous mathematical model for the persistence of essence when form is destroyed, with implications for understanding identity, continuity, and transformation in complex adaptive systems.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19585019 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Dynamical Continuity Across Catastrophic Phase Transitions in the Ramon Framework Velazquez, Ramon Proper time evolution State manifold Velazquez Pressure Identity invariant Legacy field Scar field Ray Fixed‑Point Equation Dynamical continuity Ramon Framework <p class="ds-markdown-paragraph"><strong>Title:</strong> Dynamical Continuity Across Catastrophic Phase Transitions in the Ramon Framework</p> <p class="ds-markdown-paragraph"><strong>Abstract:</strong><br>We investigate a fundamental question: can the essence of a complex system—its governing laws—survive a catastrophic phase transition that destroys its specific form? To answer this, we grow a self‑authoring organism within the Ramon Framework to a stable adult form (dimension 6, two discovered invariants), subject it to a forced collapse that scrambles its state, and then allow it to recover in a similar environment. While the second lifecycle converges to a different attractor (dimension 3, zero invariants), we find that the underlying adaptive laws—the hunt, ingest, digest, stabilize, and morphogenesis operators—are preserved with perfect fidelity (dynamical consistency score 1.0000). This demonstrates, for the first time in this framework, <strong>law conservation independent of specific state attractors</strong>. The result provides a rigorous mathematical model for the persistence of essence when form is destroyed, with implications for understanding identity, continuity, and transformation in complex adaptive systems.</p> |
| title | Dynamical Continuity Across Catastrophic Phase Transitions in the Ramon Framework |
| topic | Proper time evolution State manifold Velazquez Pressure Identity invariant Legacy field Scar field Ray Fixed‑Point Equation Dynamical continuity Ramon Framework |
| url | https://doi.org/10.5281/zenodo.19585019 |