LifeUML: A Declarative Domain-Specific Language and Mathematical Formulation for Human Mobility and Career Architecture

Cross-border mobility and career pivoting represent high-stakes, multi-variable optimization challenges traditionally hindered by qualitative ambiguity, subjective counseling, and disconnected legal-financial silos. In this paper, we introduce LifeUML, a formal, declarative domain-specific language (DSL) and deterministic mathematical formulation engineered to model human life trajectories, cross-border solvency runway, and global immigration feasibility. Inspired by the declarative abstraction paradigms of UML and PlantUML, LifeUML enables autonomous AI agents and individuals to compile human aspirations into structured Abstract Syntax Trees (ASTs) that are evaluated in-browser against empirical psychometrics (IPIP Big-Five, Holland RIASEC) and verified 2026 sovereign statutory immigration gazettes across 40 jurisdictions. We formalize four core computational metrics: (1) the Life Mobility Index (LMI), evaluating legal solvency margins, emergency cash runways, fiscal retention, and cross-cultural adaptability; (2) the AI Transformation Quotient (AX-Q), quantifying autonomous digital leverage; (3) the Dream Convergence Index (DCI), modeling high-dimensional cosine aptitude alignment against target innovation clusters; and (4) an exponential temporal willpower decay model (C(t) = C0 * exp(-lambda * t)) that enforces deterministic action-locking. We further delineate comprehensive legal and ethical safeguards: a clean-room TypeScript parser ensuring copyright independence, public-domain psychometric foundations that bypass proprietary trademark liabilities, statutory delta calculations that prevent the unauthorized practice of law (UPL), and zero-server client-side execution complying with EU AI Act (2024/1689) high-risk employment exemptions.