Accessibility Selection and Frequency-Dependent Transport States in a Nested φ-Shell Routing Architecture

This paper investigates whether nested φ-scaled spherical shell architectures coupled to Merkaba-derived routing geometries can generate organized transport behavior, persistence basins, and frequency-dependent accessibility states.

A series of computational experiments examined geometric transport, resonance-gated routing, persistence basin formation, external field coupling, and accessibility-frequency relationships. Geometry alone produced stable localization but limited multiscale transport. The introduction of resonance-generated accessibility transitions enabled sequential shell activation, deep-shell transport, and persistence-stable occupancy states. External field coupling revealed frequency-selective accessibility behavior, where substantial field capture could occur without deep-shell activation.

Fine and ultra-fine frequency sweeps identified discrete accessibility windows and multiple transport regimes. Comparison with candidate geometric frequency families showed that shell-separation geometry provided the strongest correspondence with the observed accessibility spectrum.

The results support an interpretation of the combined φ-shell and Merkaba architecture as an accessibility-selection and transport-routing system rather than a simple field-capture device. Field absorption remained relatively stable across frequency while transport destination and deep-shell occupancy varied significantly, indicating that accessibility activation depends on geometric-resonant organization rather than capture magnitude alone.

The study contributes to ongoing investigations of geometric routing architectures, resonance-mediated transport, accessibility selection, persistence basin formation, multiscale transfer, and frequency-dependent transport organization.