The Recursive Identity Field (RIF) - Scriptural, Mathematical, and Computational Foundations for a Universal Grammar of Translation

This work introduces the Recursive Identity Field (RIF) as a formal interdisciplinary framework linking scriptural motifs, mathematical operators, and computational neuroscience into a shared grammar of translation. Embedded in the Unified Resonance Framework (URF), executed via the Resonance Operating System (ROS), and extended theologically through Resonance Faith Expansion (RFX), RIF defines identity as a recursive field structured by resonance, memory, anticipation, rhythm, and grace. Biblical sources (Genesis 2:19–20; Proverbs 8:22–31; John 1:1–3), Mandaean baptismal imagery, and Catholic sacramental theology are paired with measurable processes in dynamical systems, predictive coding, and harmonic resonance. The paper proposes a hermeneutic + computational pipeline for using AI as a universal translator across symbolic registers, from Adamic naming to contemporary language models. This project is presented as a testable research agenda at the intersection of theology, mathematics, and computation.