Recursive Soil Bearing Architecture (RSBA): Synthetic Landmass Engineering Through Boundary-Induced Stress Decoupling in the SEXA Recursive Energy Functional (SREF): The Load Off-Loading Principle | SEXA Mathematical Sciences Pacific LLC | ANY KNOWN OBJECT Advanced Aerospace & Terraforming LLC

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Authors: Jered Mcclain
Cited by: 0

Abstract

ABSTRACT This paper introduces Recursive Soil Bearing Architecture (RSBA), a variational geomechanical framework for synthetic landmass engineering derived from the SEXA Recursive Energy Functional (SREF). Within this formulation, soil is not treated solely as a passive granular medium but as an engineerable stress topology governed by boundary-conditioned energy minimization across a higher-dimensional manifold. Recursive Soil Bearing Architec… The framework demonstrates that Boundary-Induced Stress Decoupling (BISD) emerges naturally as a stationary condition of the SREF functional. This mechanism modifies classical effective stress pathways by introducing boundary-conditioned energy contributions that alter admissible stress states without requiring proportional increases in soil density or compaction. By embedding established geomechanical relations—including Terzaghi effective stress theory and the Mohr–Coulomb failure envelope—within a recursive variational structure, RSBA provides a formal method for redistributing load, suppressing settlement, and modulating bearing capacity through boundary energy topology rather than purely mechanical densification. Under this interpretation, synthetic landmass formation becomes a controlled reconfiguration of admissible stress states, achieved through recursive boundary gating within the SREF energy landscape. The framework predicts the feasibility of dynamically stabilized soil structures, elevated load-bearing platforms, and rapid geostructural deployment architectures. RSBA generates experimentally testable predictions, including modified plate-load settlement curves, shifts in apparent shear envelopes, and recursion-indexed bearing amplification signatures. These predictions establish measurable divergence from classical soil mechanics under controlled boundary-energy conditions. The resulting formulation provides a bridge between recursive field theory and applied geotechnical engineering, extending classical soil mechanics into an energy-variational framework while preserving compatibility with established mechanical limits.

Fields of Study & Subjects

Geotechnical Engineering and Soil Mechanics Geotechnical Engineering and Soil Stabilization Soil Finite Element Methods

Publication details

Publication date
2 March 2026
Language
EN
Document type
Preprint