Recursive Soil Bearing Architecture (RSBA) Derived from the SEXA Recursive Energy Functional (SREF): Synthetic Landmass Stabilization through Boundary-Induced Stress Decoupling and Negentropic Boundary-Field Reactors, with Extensions to 2880-Dimensio

Version 3 — Journal-formatted published version (JAM) Journal of Advances in Mathematics This work has been published in: McClain, J. (2026). Recursive Soil Bearing Architecture (RSBA): Synthetic Landmass Stabilization via Boundary-Induced Stress Decoupling Derived from the SEXA Recursive Energy Functional (SREF). Journal of Advances in Mathematics, Vol. 25. DOI: https://doi.org/10.24297/jam.v25i.9880 This work introduces Recursive Soil Bearing Architecture (RSBA), a theoretical and applied framework for synthetic landmass stabilization derived from the SEXA Recursive Energy Functional (SREF). The model establishes a boundary-induced stress decoupling mechanism in which load-bearing capacity is dynamically redistributed through controlled energy flow at the soil–structure interface. Unlike classical geotechnical approaches based on static load distribution and material reinforcement, RSBA operates through a recursive energy-functional formulation that modifies the effective stress tensor via boundary-field interactions. This produces a negentropic stabilization regime, mitigating subsurface deformation and enabling structural coherence under extreme loading conditions. The system is modeled using distributed parameter dynamics and boundary control theory, where energy propagation across the landmass is governed by recursive manifold constraints. Under appropriate control conditions, the system exhibits exponential stabilization behavior analogous to damped fluid–structure systems. Beyond its geostructural formulation, the framework extends into higher-dimensional operational regimes, including 2880-dimensional payload interaction models, quaternion-based recursive rotational logic, and exciternion-based lift dynamics. These extensions suggest a unified control architecture linking boundary-field manipulation, rotational state recursion, and energy-functional transport. Applications include rapid landmass generation, offshore infrastructure stabilization, adaptive terrain engineering, and advanced boundary-field reactor systems. RSBA establishes a pathway toward engineering environments governed by energy-functional control rather than purely material constraints.