Jered McClain and Erydir Ceisiwr, SEXA Institute of Technology and Interdomain Galactic Advisors, United States

The development of mathematically consistent computational architectures remains a fundamental challenge in artificial intelligence, symbolic computation, scientific computing, and hardware-assisted verification. This paper presents a conference-oriented computational formulation derived from the SEXA Unified Field Framework, emphasizing recursive admissibility, computational correspondence, dimensional reduction, and structured validation rather than introducing additional governing equations. The framework is evaluated through a structured survivability audit consisting of recursive functional consistency, dimensional and unit consistency, computational correspondence, reduction-recovery, and explicit falsifiability criteria. A deterministic computational correspondence layer, derived through Sigmatics-based recursive orbit analysis, provides a structured mapping between a 2880-dimensional recursive manifold and an operational five-dimensional computational representation. This correspondence establishes a reproducible computational framework intended for algorithmic evaluation while identifying engineering pathways for future hardware-assisted implementation. Unlike conventional presentations focused exclusively on mathematical abstraction, this work emphasizes computational reproducibility and verification methodology. The recursive architecture is organized into deterministic evaluation layers suitable for future implementation within embedded computing systems, recursive processing architectures, artificial intelligence acceleration, and hardware verification environments. The resulting framework distinguishes formal mathematical survivability from experimental confirmation while providing explicit computational objectives for continued engineering investigation.

Recursive Computing; Computational Correspondence; Hardware Verification; Artificial Intelligence; Recursive Algorithms; Embedded Systems; Scientific Computing; Geometric Algebra; Dimensional Reduction; Recursive Manifold Dynamics; Computational Physics.