Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Langue: | |
| Publié: |
Zenodo
2026
|
| Accès en ligne: | https://doi.org/10.5281/zenodo.20425365 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866902341113872384 |
|---|---|
| author | Breuillaud, Nicolas |
| author_facet | Breuillaud, Nicolas |
| contents | <p class="MsoNormal"><span>Models of tipping points and phase transitions explain how systems cross qualitative thresholds. They do not explain what allows systems to cross them again. This article proposes that a specific structural feature, the Reset Operator (B), is a structural condition for what we call Systemic Recursivity: the capacity to undergo repeated qualitative transitions without collapsing or freezing.</span></p> <p class="MsoNormal"><span>B is defined as a bounded interval during which external pressure on a system is temporarily suspended following a threshold crossing, allowing internal dynamics to restore baseline conditions. Without it, post-transition forces accumulate across cycles and eventually drive the system into Terminal Saturation, a state from which further transitions become impossible.</span></p> <p class="MsoNormal"><span>B is not a mechanism. It is a structural isomorphism: a four-phase sequence (threshold crossing → suspension → internal dissipation → re-initialization) that recurs, through entirely different physical processes, across all systems capable of repeated transitions. In most real systems, this reset does not happen all at once, different components reset at different times. That distributed form is the general case; the fully synchronized form is an idealization. Structural illustrations are developed in neurophysiology, sleep homeostasis, and emotional regulation, the last of which provides the most direct evidence for B in its distributed form.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20425365 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Reset and Recursivity: A Structural Hypothesis Breuillaud, Nicolas <p class="MsoNormal"><span>Models of tipping points and phase transitions explain how systems cross qualitative thresholds. They do not explain what allows systems to cross them again. This article proposes that a specific structural feature, the Reset Operator (B), is a structural condition for what we call Systemic Recursivity: the capacity to undergo repeated qualitative transitions without collapsing or freezing.</span></p> <p class="MsoNormal"><span>B is defined as a bounded interval during which external pressure on a system is temporarily suspended following a threshold crossing, allowing internal dynamics to restore baseline conditions. Without it, post-transition forces accumulate across cycles and eventually drive the system into Terminal Saturation, a state from which further transitions become impossible.</span></p> <p class="MsoNormal"><span>B is not a mechanism. It is a structural isomorphism: a four-phase sequence (threshold crossing → suspension → internal dissipation → re-initialization) that recurs, through entirely different physical processes, across all systems capable of repeated transitions. In most real systems, this reset does not happen all at once, different components reset at different times. That distributed form is the general case; the fully synchronized form is an idealization. Structural illustrations are developed in neurophysiology, sleep homeostasis, and emotional regulation, the last of which provides the most direct evidence for B in its distributed form.</span></p> |
| title | Reset and Recursivity: A Structural Hypothesis |
| url | https://doi.org/10.5281/zenodo.20425365 |