The Γ-SubThreshold Fold Logic© Theorem Minimal Admissibility Compression, Recursive Information Preservation, and Unique Reconstruction Across the 2880-Dimensional Recursive Hierarchy | SEXA Mathematical Sciences Pacific LLC© | ANY KNOWN OBJECT Advanced Aerospace & Terraforming LLC©

This repository contains the complete journal manuscript submitted for peer review to the Journal of Advances in Mathematics entitled, The Γ-SubThreshold Fold Logic Theorem: Minimal Admissibility Compression, Recursive Information Preservation, and Unique Reconstruction Across the 2880-Dimensional Recursive Hierarchy This manuscript introduces the Γ-SubThreshold Fold Logic Theorem, a theorem-grade mathematical framework establishing the existence, uniqueness, and minimality of an admissibility-preserving recursive fold operator. The theorem demonstrates that an ordered six-operator Γ-admissibility chain recursively compresses admissible configurations into a five-dimensional operational manifold while preserving the complete recursive information necessary for exact reconstruction of a recursively generated 2880-dimensional hierarchy. The work develops the theory through formal definitions, axioms, lemmas, principal theorems, corollaries, explicit failure conditions, and proof dependency architecture, establishing the Six-Into-Five Principle as a mathematically defined recursive transformation rather than an arithmetic identity. This work extends the formal mathematical architecture of the SEXA Unified Field Framework and is intended for independent mathematical evaluation and peer review.