This work presents a structural compendium of geometry and energy formation derived from discrete admissible transport on the Allen Orbital Lattice under Phase Alignment Lock coherence. Physical structure is generated through boundary localized growth, stabilization dynamics, and transport induced reachability geometry. Metric structure, curvature, nonlinear organization, and spectral modes arise as necessary consequences of transport and stabilization processes. The framework develops a complete derivational program progressing from generative transport mechanics to mathematical closure, spectral consequences, computational realization, and empirical interface structure. Geometry is treated as the coarse scale representation of transport cost, and field dynamics emerge from stabilization functional minimization. Structural energy corresponds to transport density weighted by effective cost under admissibility constraints. The theory establishes a closed transport geometry in which basin formation, metric emergence, curvature generation, and field evolution arise from the same discrete substrate mechanics. This produces a unified structural description linking geometry, field dynamics, and energy formation without external parameter tuning.All works are independently timestamped via opentimestamps.org and Internet Archive and are also available at patternfieldtheory.com/papers.
James Johan Sebastian Allen (Thu,) studied this question.