Paper 136E: Phase Structure and Parameter Minimality in Admissibility-Gated Transport
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2026
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| _version_ | 1866901532337766400 |
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| author | Sarnowski, Michael |
| author_facet | Sarnowski, Michael |
| contents | <p>This paper studies the phase structure of a three-dimensional admissibility-gated transport model using a systematic parameter sweep that includes complete shutoff of individual control terms. Earlier work established that the model can support a stable multi-filament phase with multiple persistent, spatially separated transport pathways. The present study extends that result by mapping the boundary of this phase and identifying which control terms are structurally required for its existence within the current model formulation.</p> <p>Across the explored shutoff-capable parameter grid, the results support a two-phase structure: a stable multi-filament phase and a transient or degraded regime. As stabilizing parameters are reduced, the system transitions from stable separation to instability without producing an intermediate stable regime of filament interaction, merging, overlap, or braiding. Within the explored parameter space, no stable interaction phase is observed under parameter variation alone.</p> <p>A second result is the emergence of a parameter hierarchy. Repulsion and persistence act as the primary structural terms associated with spatial separation and temporal locking, while stiffness and burden function mainly as secondary shaping terms that regulate geometry and turnover. These findings show that stable multi-path transport can arise from a minimal combination of local exclusion and memory within the present admissibility-gated framework. They also define the current operational limits of the model and motivate future work aimed at introducing controlled filament interaction.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19677040 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Paper 136E: Phase Structure and Parameter Minimality in Admissibility-Gated Transport Sarnowski, Michael admissibility-gated transport, multi-filament transport, phase structure, parameter minimality, cuboctahedral lattice, self-organized transport, local exclusion, persistence, transport stability, filament interaction, constraint-driven dynamics, classical transport model <p>This paper studies the phase structure of a three-dimensional admissibility-gated transport model using a systematic parameter sweep that includes complete shutoff of individual control terms. Earlier work established that the model can support a stable multi-filament phase with multiple persistent, spatially separated transport pathways. The present study extends that result by mapping the boundary of this phase and identifying which control terms are structurally required for its existence within the current model formulation.</p> <p>Across the explored shutoff-capable parameter grid, the results support a two-phase structure: a stable multi-filament phase and a transient or degraded regime. As stabilizing parameters are reduced, the system transitions from stable separation to instability without producing an intermediate stable regime of filament interaction, merging, overlap, or braiding. Within the explored parameter space, no stable interaction phase is observed under parameter variation alone.</p> <p>A second result is the emergence of a parameter hierarchy. Repulsion and persistence act as the primary structural terms associated with spatial separation and temporal locking, while stiffness and burden function mainly as secondary shaping terms that regulate geometry and turnover. These findings show that stable multi-path transport can arise from a minimal combination of local exclusion and memory within the present admissibility-gated framework. They also define the current operational limits of the model and motivate future work aimed at introducing controlled filament interaction.</p> |
| title | Paper 136E: Phase Structure and Parameter Minimality in Admissibility-Gated Transport |
| topic | admissibility-gated transport, multi-filament transport, phase structure, parameter minimality, cuboctahedral lattice, self-organized transport, local exclusion, persistence, transport stability, filament interaction, constraint-driven dynamics, classical transport model |
| url | https://doi.org/10.5281/zenodo.19677040 |