The Agentic Trust Gap: A Comparative Analysis of Financial Execution Infrastructure in Autonomous Environments

As capital management transitions from human-discretionary to agent-autonomous systems, a critical "Trust Gap" has emerged, evidenced by the vast discrepancy between theoretical AI capability and actual enterprise deployment. Current financial infrastructure remains "pre-agentic," forcing a choice between Policy-Gated systems (relying on administrative recourse) and Deterministic Silos (relying on rigid, non-composable code). This paper introduces the Deterministic Execution Environment (DEE): a non-custodial middleware layer that enforces immutable "math-rails" to ensure capital sovereignty. We demonstrate that the DEE architecture raises the systemic Mechanical Determinism baseline from 45.4% to 51.4%, effectively reclaiming the "untrusted" labor-market delta by isolating strategic intelligence from execution safety.