ψ-Retention Criterion: Thresholds of Structural Persistence
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| Format: | Recurso digital |
| Langue: | anglais |
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2026
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| _version_ | 1866901689767821312 |
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| author | Yulia, Logacheva |
| author_facet | Yulia, Logacheva |
| contents | <p><span>This work introduces the ψ-Retention Criterion, a threshold-based formalism defining the minimal conditions under which structural difference (Δψ) becomes stable, non-dissipative, and persistent. The framework identifies three universal thresholds — the signal-to-noise limit SNR*, the asymmetry threshold ε*, and the critical nucleation radius Rᶜ — which together determine when a system transitions into the retentive regime governed by the equilibrium potential Λψ and stabilized by Ξ-nodes.</span></p> <p> </p> <p><span>The ψ-Retention Criterion provides a measurable and operational rule applicable across retentive cosmology, retentive field theory, ΞΔ-machine engineering, pre-biological architectures, and post-geometric regimes. It establishes a foundational condition for structural persistence as a physical regime distinct from classical dynamical evolution. This article formalizes the threshold structure of retention and offers a basis for future theoretical and empirical investigation.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18460491 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | ψ-Retention Criterion: Thresholds of Structural Persistence Yulia, Logacheva ψ-Architecture; Retentive Cosmology; Δψ; Ξ-nodes; Λψ; Structural Persistence; Retentive Lagrangian; SNR Threshold; Asymmetry Threshold; Critical Radius; Retentive Field Theory; ΞΔ-Machine; Pre-Biological Structures; Post-Geometric Physics <p><span>This work introduces the ψ-Retention Criterion, a threshold-based formalism defining the minimal conditions under which structural difference (Δψ) becomes stable, non-dissipative, and persistent. The framework identifies three universal thresholds — the signal-to-noise limit SNR*, the asymmetry threshold ε*, and the critical nucleation radius Rᶜ — which together determine when a system transitions into the retentive regime governed by the equilibrium potential Λψ and stabilized by Ξ-nodes.</span></p> <p> </p> <p><span>The ψ-Retention Criterion provides a measurable and operational rule applicable across retentive cosmology, retentive field theory, ΞΔ-machine engineering, pre-biological architectures, and post-geometric regimes. It establishes a foundational condition for structural persistence as a physical regime distinct from classical dynamical evolution. This article formalizes the threshold structure of retention and offers a basis for future theoretical and empirical investigation.</span></p> |
| title | ψ-Retention Criterion: Thresholds of Structural Persistence |
| topic | ψ-Architecture; Retentive Cosmology; Δψ; Ξ-nodes; Λψ; Structural Persistence; Retentive Lagrangian; SNR Threshold; Asymmetry Threshold; Critical Radius; Retentive Field Theory; ΞΔ-Machine; Pre-Biological Structures; Post-Geometric Physics |
| url | https://doi.org/10.5281/zenodo.18460491 |