Asymmetric Variance Across Relational Coherence Thresholds: A Boundary–Bulk Insight
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| Format: | Recurso digital |
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2025
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| _version_ | 1866901938886410240 |
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| author | De Jesus, Elias |
| author_facet | De Jesus, Elias |
| contents | <p>This exploratory note introduces the <em>Asymmetric Variance Principle</em>, a proposed structural feature of Relational Physics (RTLI) that distinguishes how coherence variance behaves near the two universal thresholds: the free-coherence attractor at $\eta_\gamma \approx 1.0$ and the inertial-lock attractor at $\eta_{\text{inertia}} \approx 1.7$. The central idea is that boundary coherence ($R_c$) experiences unequal variance near these thresholds due to asymmetric bulk loading: the free-coherence side corresponds to low-density, low-inertia propagation, while the locked-inertial side corresponds to high-density, high-memory bulk states. This imbalance may create measurable differences in variance, stability, or noise sensitivity across the coherence landscape. Although conceptual, this principle aligns with RTLI predictions about mass formation, phase transitions, and holographic boundary behavior. The note is intended as a theoretical hypothesis to guide future analytic work, numerical modeling, and potential integration with holographic frameworks such as AdS/CFT.</p> <p> </p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17612741 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Asymmetric Variance Across Relational Coherence Thresholds: A Boundary–Bulk Insight De Jesus, Elias • Relational Physics • RTLI • Boundary Coherence • Holography • AdS/CFT • Coherence Thresholds • Inertial Locking • Free Coherence Regime • Asymmetric Variance Principle • Dark Sector Structure • Bulk–Boundary Dynamics • Emergent Inertia <p>This exploratory note introduces the <em>Asymmetric Variance Principle</em>, a proposed structural feature of Relational Physics (RTLI) that distinguishes how coherence variance behaves near the two universal thresholds: the free-coherence attractor at $\eta_\gamma \approx 1.0$ and the inertial-lock attractor at $\eta_{\text{inertia}} \approx 1.7$. The central idea is that boundary coherence ($R_c$) experiences unequal variance near these thresholds due to asymmetric bulk loading: the free-coherence side corresponds to low-density, low-inertia propagation, while the locked-inertial side corresponds to high-density, high-memory bulk states. This imbalance may create measurable differences in variance, stability, or noise sensitivity across the coherence landscape. Although conceptual, this principle aligns with RTLI predictions about mass formation, phase transitions, and holographic boundary behavior. The note is intended as a theoretical hypothesis to guide future analytic work, numerical modeling, and potential integration with holographic frameworks such as AdS/CFT.</p> <p> </p> <p> </p> |
| title | Asymmetric Variance Across Relational Coherence Thresholds: A Boundary–Bulk Insight |
| topic | • Relational Physics • RTLI • Boundary Coherence • Holography • AdS/CFT • Coherence Thresholds • Inertial Locking • Free Coherence Regime • Asymmetric Variance Principle • Dark Sector Structure • Bulk–Boundary Dynamics • Emergent Inertia |
| url | https://doi.org/10.5281/zenodo.17612741 |